{"id":148821,"date":"2022-11-21T21:17:07","date_gmt":"2022-11-21T15:47:07","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=148821"},"modified":"2022-11-21T21:17:07","modified_gmt":"2022-11-21T15:47:07","slug":"spectrum-math-grade-6-chapter-2-lesson-4-answer-key","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/spectrum-math-grade-6-chapter-2-lesson-4-answer-key\/","title":{"rendered":"Spectrum Math Grade 6 Chapter 2 Lesson 4 Answer Key Dividing Mixed Numbers"},"content":{"rendered":"

Go through the Spectrum Math Grade 6 Answer Key<\/a> Chapter 2 Lesson 2.4 Dividing Mixed Numbers<\/b>\u00a0and get the proper assistance needed during your homework.<\/p>\n

Spectrum Math Grade 6 Chapter 2 Lesson 2.4 Dividing Mixed Numbers Answers Key<\/h2>\n

3\\(\\frac{2}{5}\\) \u00f7 4 Rename 3\\(\\frac{2}{5}\\) as \\(\\frac{17}{5}\\).
\n\\(\\frac{17}{5}\\) \u00f7 \\(\\frac{4}{1}\\) Rename 4 as \\(\\frac{4}{1}\\).
\n\\(\\frac{17}{5}\\) \u00d7 \\(\\frac{1}{4}\\) = \\(\\frac{17}{20}\\) Multiply by the reciprocal.<\/p>\n

4\\(\\frac{1}{3}\\) \u00f7 2\\(\\frac{3}{4}\\)
\n\\(\\frac{13}{3}\\) \u00f7 \\(\\frac{11}{4}\\) Rename
\n\\(\\frac{13}{3}\\) \u00d7 \\(\\frac{4}{11}\\) = \\(\\frac{52}{33}\\) = 1\\(\\frac{19}{33}\\) Multiply by the reciprocal.<\/p>\n

Divide. Write answers in simplest form.<\/strong><\/p>\n

Question 1.
\na. 2\\(\\frac{1}{2}\\) \u00f7 3\\(\\frac{1}{3}\\)
\nAnswer:
\nSimplest form of 2\\(\\frac{1}{2}\\) \u00f7 3\\(\\frac{1}{3}\\) is \\(\\frac{3}{4}\\).<\/p>\n

Explanation:
\n2\\(\\frac{1}{2}\\) \u00f7 3\\(\\frac{1}{3}\\)
\n= 2\\(\\frac{1}{2}\\) \u00f7 3\\(\\frac{1}{3}\\)
\n= {[(2 \u00d7 2) + 1] \u00f7 2} \u00f7 {[(3 \u00d7 3) + 1] \u00f7 3}
\n= [(4 + 1) \u00f7 2] \u00f7 [(9 + 1) \u00f7 3]
\n= \\(\\frac{5}{2}\\) \u00f7 \\(\\frac{10}{3}\\)
\n= \\(\\frac{5}{2}\\) \u00d7 \\(\\frac{3}{10}\\)
\n= \\(\\frac{1}{2}\\) \u00d7 \\(\\frac{3}{2}\\)
\n= \\(\\frac{3}{4}\\)<\/p>\n

b. 1\\(\\frac{1}{8}\\) \u00f7 2\\(\\frac{1}{4}\\)
\nAnswer:
\nSimplest form of 1\\(\\frac{1}{8}\\) \u00f7 2\\(\\frac{1}{4}\\) is \\(\\frac{1}{2}\\).<\/p>\n

Explanation:
\n1\\(\\frac{1}{8}\\) \u00f7 2\\(\\frac{1}{4}\\)
\n= {[(1 \u00d7 8) + 1] \u00f7 8} \u00f7 {[(2 \u00d7 4) + 1] \u00f7 4}
\n= [(8 + 1) \u00f7 8] \u00f7 [(8 + 1) \u00f7 4]
\n= \\(\\frac{9}{8}\\) \u00f7 \\(\\frac{9}{4}\\)
\n= \\(\\frac{9}{8}\\) \u00d7 \\(\\frac{4}{9}\\)
\n= \\(\\frac{1}{8}\\) \u00d7 \\(\\frac{4}{1}\\)
\n= \\(\\frac{1}{2}\\) \u00d7 \\(\\frac{1}{1}\\)
\n= \\(\\frac{1}{2}\\).<\/p>\n

c. 8 \u00f7 3\\(\\frac{1}{2}\\)
\nAnswer:
\nSimplest form of 8 \u00f7 3\\(\\frac{1}{2}\\) is \\(\\frac{16}{7}\\) or 2\\(\\frac{2}{7}\\).<\/p>\n

Explanation:
\n8 \u00f7 3\\(\\frac{1}{2}\\)
\n= 8 \u00f7 {[(3 \u00d7 2) + 1] \u00f7 2}
\n= 8 \u00f7 [(6 + 1) \u00f7 2]
\n= 8 \u00f7 \\(\\frac{7}{2}\\)
\n= 8 \u00d7 \\(\\frac{2}{7}\\)
\n= \\(\\frac{16}{7}\\) or 2\\(\\frac{2}{7}\\)<\/p>\n

d. 2\\(\\frac{1}{3}\\) \u00f7 5
\nAnswer:
\nSimplest form of 2\\(\\frac{1}{3}\\) \u00f7 5 is \\(\\frac{7}{15}\\).<\/p>\n

Explanation:
\n2\\(\\frac{1}{3}\\) \u00f7 5
\n= {[(2 \u00d7 3) + 1] \u00f7 3} \u00f7 5
\n= [(6 + 1) \u00f7 3] \u00f7 5
\n= \\(\\frac{7}{3}\\) \u00f7 5
\n= \\(\\frac{7}{3}\\) \u00d7 \\(\\frac{1}{5}\\)
\n= \\(\\frac{7}{15}\\)<\/p>\n

Question 2.
\na. 4\\(\\frac{1}{2}\\) \u00f7 1\\(\\frac{1}{6}\\)
\nAnswer:
\nSimplest form of 4\\(\\frac{1}{2}\\) \u00f7 1\\(\\frac{1}{6}\\) is \\(\\frac{27}{7}\\) or 3\\(\\frac{6}{7}\\).<\/p>\n

Explanation:
\n4\\(\\frac{1}{2}\\) \u00f7 1\\(\\frac{1}{6}\\)
\n= {[(4 \u00d7 2) + 1] \u00f7 2} \u00f7 {[(1 \u00d7 6) + 1] \u00f7 6}
\n= [(8 + 1) \u00f7 2] \u00f7 [(6 + 1) \u00f7 6]
\n= \\(\\frac{9}{2}\\) \u00f7 \\(\\frac{7}{6}\\)
\n= \\(\\frac{9}{2}\\) \u00d7 \\(\\frac{6}{7}\\)
\n= \\(\\frac{9}{1}\\) \u00d7 \\(\\frac{3}{7}\\)
\n= \\(\\frac{27}{7}\\) or 3\\(\\frac{6}{7}\\)<\/p>\n

b. 4\\(\\frac{5}{6}\\) \u00f7 2\\(\\frac{2}{5}\\)
\nAnswer:
\nSimplest form of 4\\(\\frac{5}{6}\\) \u00f7 2\\(\\frac{2}{5}\\) is \\(\\frac{145}{72}\\) or 2\\(\\frac{1}{72}\\).<\/p>\n

Explanation:
\n4\\(\\frac{5}{6}\\) \u00f7 2\\(\\frac{2}{5}\\)
\n= {[(4 \u00d7 6) + 5] \u00f7 6} \u00f7 {[(2 \u00d7 5) + 2] \u00f7 5}
\n= [(24 + 5) \u00f7 6] \u00f7 [(10 + 2) \u00f7 5]
\n= \\(\\frac{29}{6}\\) \u00f7 \\(\\frac{12}{5}\\)
\n= \\(\\frac{29}{6}\\) \u00d7 \\(\\frac{5}{12}\\)
\n= \\(\\frac{145}{72}\\) or 2\\(\\frac{1}{72}\\)<\/p>\n

c. 4\\(\\frac{1}{3}\\) \u00f7 6
\nAnswer:
\nSimplest form of 4\\(\\frac{1}{3}\\) \u00f7 6 is \\(\\frac{13}{18}\\).<\/p>\n

Explanation:
\n4\\(\\frac{1}{3}\\) \u00f7 6
\n= {[(4 \u00d7 3) + 1] \u00f7 3} \u00f7 6
\n= [(12 + 1) \u00f7 3] \u00f7 6
\n= \\(\\frac{13}{3}\\) \u00f7 6
\n= \\(\\frac{13}{3}\\) \u00d7 \\(\\frac{1}{6}\\)
\n= \\(\\frac{13}{18}\\)<\/p>\n

d. 1\\(\\frac{1}{2}\\) \u00f7 3\\(\\frac{1}{8}\\)
\nAnswer:
\nSimplest form of 1\\(\\frac{1}{2}\\) \u00f7 3\\(\\frac{1}{8}\\) is \\(\\frac{12}{25}\\).<\/p>\n

Explanation:
\n1\\(\\frac{1}{2}\\) \u00f7 3\\(\\frac{1}{8}\\)
\n= {[(1 \u00d7 2) + 1] \u00f7 2} \u00f7 {[(3 \u00d7 8) + 1] \u00f7 8}
\n= [(2 + 1) \u00f7 2] \u00f7 [(24 + 1) \u00f7 8]
\n= \\(\\frac{3}{2}\\) \u00f7 \\(\\frac{25}{8}\\)
\n= \\(\\frac{3}{2}\\) \u00d7 \\(\\frac{8}{25}\\)
\n= \\(\\frac{3}{1}\\) \u00d7 \\(\\frac{4}{25}\\)
\n= \\(\\frac{12}{25}\\)<\/p>\n

Question 3.
\na. 6 \u00f7 2\\(\\frac{1}{2}\\)
\nAnswer:
\nSimplest form of 6 \u00f7 2\\(\\frac{1}{2}\\) is \\(\\frac{12}{5}\\) or 2\\(\\frac{2}{5}\\).<\/p>\n

Explanation:
\n6 \u00f7 2\\(\\frac{1}{2}\\)
\n= 6\u00f7 {[(2 \u00d7 2) + 1] \u00f7 2}
\n= 6 \u00f7 [(4 + 1) \u00f7 2]
\n= 6 \u00f7 \\(\\frac{5}{2}\\)
\n= 6 \u00d7 \\(\\frac{2}{5}\\)
\n= \\(\\frac{12}{5}\\) or 2\\(\\frac{2}{5}\\)<\/p>\n

b. 1\\(\\frac{1}{2}\\) \u00f7 3
\nAnswer:
\nSimplest form of 1\\(\\frac{1}{2}\\) \u00f7 3 is \\(\\frac{1}{2}\\).<\/p>\n

Explanation:
\n1\\(\\frac{1}{2}\\) \u00f7 3
\n= {[(1 \u00d7 2) + 1] \u00f7 2} \u00f7 3
\n= [(2 + 1) \u00f7 2] \u00f7 3
\n= \\(\\frac{3}{2}\\) \u00f7 3
\n= \\(\\frac{3}{2}\\) \u00d7 \\(\\frac{1}{3}\\)
\n= \\(\\frac{1}{2}\\) \u00d7 \\(\\frac{1}{1}\\)
\n= \\(\\frac{1}{2}\\)<\/p>\n

c. 5 \u00f7 3\\(\\frac{3}{4}\\)
\nAnswer:
\nSimplest form of 5 \u00f7 3\\(\\frac{3}{4}\\) is \\(\\frac{4}{3}\\) or 1\\(\\frac{1}{3}\\).<\/p>\n

Explanation:
\n5 \u00f7 3\\(\\frac{3}{4}\\)
\n= 5 \u00f7 {[(3 \u00d7 4) + 3] \u00f7 4}
\n= 5 \u00f7 [(12 + 3) \u00f7 4]
\n= 5 \u00f7 \\(\\frac{15}{4}\\)
\n= 5 \u00d7 \\(\\frac{4}{15}\\)
\n= 1 \u00d7 \\(\\frac{4}{3}\\)
\n= \\(\\frac{4}{3}\\) or 1\\(\\frac{1}{3}\\)<\/p>\n

d. 2\\(\\frac{1}{8}\\) \u00f7 3
\nAnswer:
\nSimplest form of 2\\(\\frac{1}{8}\\) \u00f7 3 is \\(\\frac{17}{24}\\).<\/p>\n

Explanation:
\n2\\(\\frac{1}{8}\\) \u00f7 3
\n= {[(2 \u00d7 8) + 1] \u00f7 8} \u00f7 3
\n= [(16 + 1) \u00f7 8] \u00f7 3
\n= \\(\\frac{17}{8}\\) \u00f7 3
\n= \\(\\frac{17}{8}\\) \u00d7 \\(\\frac{1}{3}\\)
\n= \\(\\frac{17}{24}\\)<\/p>\n

Question 4.
\na.
\n3\\(\\frac{3}{5}\\) \u00f7 4
\nAnswer:
\nSimplest form of 3\\(\\frac{3}{5}\\) \u00f7 4 is \\(\\frac{9}{10}\\).<\/p>\n

Explanation:
\n3\\(\\frac{3}{5}\\) \u00f7 4
\n= {[(3 \u00d7 5) + 3] \u00f7 5} \u00f7 4
\n= [(15 + 3) \u00f7 5] \u00f7 4
\n= \\(\\frac{18}{5}\\) \u00f7 4
\n= \\(\\frac{18}{5}\\) \u00d7 \\(\\frac{1}{4}\\)
\n= \\(\\frac{18}{5}\\) \u00d7 \\(\\frac{1}{4}\\)
\n= \\(\\frac{9}{5}\\) \u00d7 \\(\\frac{1}{2}\\)
\n= \\(\\frac{9}{10}\\)<\/p>\n

b. 3\\(\\frac{1}{3}\\) \u00f7 2\\(\\frac{3}{8}\\)
\nAnswer:
\nSimplest form of 3\\(\\frac{1}{3}\\) \u00f7 2\\(\\frac{3}{8}\\) is \\(\\frac{80}{57}\\) or 1\\(\\frac{23}{57}\\).<\/p>\n

Explanation:
\n3\\(\\frac{1}{3}\\) \u00f7 2\\(\\frac{3}{8}\\)
\n= {[(3 \u00d7 3) + 1] \u00f7 3} \u00f7 {[(2 \u00d7 8) + 3] \u00f7 8}
\n= [(9 + 1) \u00f7 3] \u00f7 [(16 + 3) \u00f7 8]
\n= \\(\\frac{10}{3}\\) \u00f7 \\(\\frac{19}{8}\\)
\n= \\(\\frac{10}{3}\\) \u00d7 \\(\\frac{8}{19}\\)
\n= \\(\\frac{80}{57}\\) or 1\\(\\frac{23}{57}\\)<\/p>\n

c. 1 \u00f7 4\\(\\frac{1}{3}\\)
\nAnswer:
\nSimplest form of 1 \u00f7 4\\(\\frac{1}{3}\\) is \\(\\frac{3}{13}\\).<\/p>\n

Explanation:
\n1 \u00f7 4\\(\\frac{1}{3}\\)
\n= 1 \u00f7 {[(4 \u00d7 3) + 1] \u00f7 3}
\n= 1 \u00f7 [(12 + 1) \u00f7 3]
\n= 1 \u00f7 \\(\\frac{13}{3}\\)
\n= 1 \u00d7 \\(\\frac{3}{13}\\)
\n= \\(\\frac{3}{13}\\)<\/p>\n

d. 9 \u00f7 1\\(\\frac{2}{3}\\)
\nAnswer:
\nSimplest form of 9 \u00f7 1\\(\\frac{2}{3}\\) is \\(\\frac{27}{5}\\) or 5\\(\\frac{2}{5}\\).<\/p>\n

Explanation:
\n9 \u00f7 1\\(\\frac{2}{3}\\)
\n= 9 \u00f7 {[(1 \u00d7 3) + 2] \u00f7 3}
\n= 9 \u00f7 [(3+ 2) \u00f7 3]
\n= 9 \u00f7 \\(\\frac{5}{3}\\)
\n= 9 \u00d7 \\(\\frac{3}{5}\\)
\n= \\(\\frac{27}{5}\\) or 5\\(\\frac{2}{5}\\)<\/p>\n

Divide. Write answers in simplest form.<\/strong><\/p>\n

Question 1.
\na. 1\\(\\frac{3}{4}\\) \u00f7 \\(\\frac{2}{3}\\) =
\nAnswer:
\nSimplest form of 1\\(\\frac{3}{4}\\) \u00f7 \\(\\frac{2}{3}\\) is \\(\\frac{21}{8}\\) or 2\\(\\frac{5}{8}\\).<\/p>\n

Explanation:
\n1\\(\\frac{3}{4}\\) \u00f7 \\(\\frac{2}{3}\\)
\n= {[(1 \u00d7 4) + 3] \u00f7 4} \u00f7 \\(\\frac{2}{3}\\)
\n=\u00a0 [(4 + 3) \u00f7 4] \u00f7 \\(\\frac{2}{3}\\)
\n= \\(\\frac{7}{4}\\) \u00f7 \\(\\frac{2}{3}\\)
\n= \\(\\frac{7}{4}\\) \u00d7 \\(\\frac{3}{2}\\)
\n= \\(\\frac{21}{8}\\) or 2\\(\\frac{5}{8}\\)<\/p>\n

b. 9 \u00f7 1\\(\\frac{2}{3}\\) =
\nAnswer:
\nSimplest form of 9 \u00f7 1\\(\\frac{2}{3}\\) is \\(\\frac{27}{5}\\) or 5\\(\\frac{2}{5}\\).<\/p>\n

Explanation:
\n9 \u00f7 1\\(\\frac{2}{3}\\)
\n= 9 \u00f7 {[(1 \u00d7 3) + 2] \u00f7 3}
\n= 9 \u00f7 [(3 + 2) \u00f7 3]
\n= 9 \u00f7 \\(\\frac{5}{3}\\)
\n= 9 \u00d7 \\(\\frac{3}{5}\\)
\n= \\(\\frac{27}{5}\\) or 5\\(\\frac{2}{5}\\)<\/p>\n

c. \\(\\frac{4}{9}\\) \u00f7 1\\(\\frac{3}{5}\\) =
\nAnswer:
\nSimplest form of \\(\\frac{4}{9}\\) \u00f7 1\\(\\frac{3}{5}\\) is \\(\\frac{5}{18}\\).<\/p>\n

Explanation:
\n\\(\\frac{4}{9}\\) \u00f7 1\\(\\frac{3}{5}\\)
\n= \\(\\frac{4}{9}\\) \u00f7 {[(1 \u00d7 5) + 3] \u00f7 5}
\n= \\(\\frac{4}{9}\\) \u00f7 [(5 + 3) \u00f7 5]
\n= \\(\\frac{4}{9}\\) \u00f7 \\(\\frac{8}{5}\\)
\n= \\(\\frac{4}{9}\\) \u00d7 \\(\\frac{5}{8}\\)
\n= \\(\\frac{1}{9}\\) \u00d7 \\(\\frac{5}{2}\\)
\n= \\(\\frac{5}{18}\\)<\/p>\n

d. 4\\(\\frac{1}{4}\\) \u00f7 6 =
\nAnswer:
\nSimplest form of 4\\(\\frac{1}{4}\\) \u00f7 6 is \\(\\frac{3}{4}\\).<\/p>\n

Explanation:
\n4\\(\\frac{1}{4}\\) \u00f7 6
\n= {[(4 \u00d7 4) + 1] \u00f7 4}\u00a0\u00f7 6
\n= [(17 + 1) \u00f7 4] \u00f7 6
\n= \\(\\frac{18}{4}\\) \u00f7 6
\n= \\(\\frac{18}{4}\\) \u00d7 \\(\\frac{1}{6}\\)
\n= \\(\\frac{3}{4}\\) \u00d7 \\(\\frac{1}{1}\\)
\n= \\(\\frac{3}{4}\\)<\/p>\n

Question 2.
\na. 1\\(\\frac{5}{6}\\) \u00f7 \\(\\frac{1}{3}\\) =
\nAnswer:
\nSimplest form of 1\\(\\frac{5}{6}\\) \u00f7 \\(\\frac{1}{3}\\) is \\(\\frac{11}{2}\\) or 5\\(\\frac{1}{2}\\).<\/p>\n

Explanation:
\n1\\(\\frac{5}{6}\\) \u00f7 \\(\\frac{1}{3}\\)
\n= {[(1 \u00d7 6) + 5] \u00f7 6} \u00f7 \\(\\frac{1}{3}\\)
\n= [(6 + 5) \u00f7 6] \u00f7 \\(\\frac{1}{3}\\)
\n= \\(\\frac{11}{6}\\) \u00f7 \\(\\frac{1}{3}\\)
\n= \\(\\frac{11}{6}\\) \u00d7 \\(\\frac{3}{1}\\)
\n= \\(\\frac{11}{2}\\) \u00d7 \\(\\frac{1}{1}\\)
\n= \\(\\frac{11}{2}\\) or 5\\(\\frac{1}{2}\\)<\/p>\n

b. 2\\(\\frac{2}{3}\\) \u00f7 \\(\\frac{1}{4}\\) =
\nAnswer:
\nSimplest form of 2\\(\\frac{2}{3}\\) \u00f7 \\(\\frac{1}{4}\\) is \\(\\frac{22}{3}\\) or 7\\(\\frac{1}{3}\\).<\/p>\n

Explanation:
\n2\\(\\frac{2}{3}\\) \u00f7 \\(\\frac{1}{4}\\)
\n= {[(2 \u00d7 3) + 2] \u00f7 3} \u00f7 \\(\\frac{1}{4}\\)
\n= [(6 + 5) \u00f7 6] \u00f7 \\(\\frac{1}{4}\\)
\n= \\(\\frac{11}{6}\\) \u00f7 \\(\\frac{1}{4}\\)
\n= \\(\\frac{11}{6}\\) \u00d7 \\(\\frac{4}{1}\\)
\n= \\(\\frac{11}{3}\\) \u00d7 \\(\\frac{2}{1}\\)
\n= \\(\\frac{22}{3}\\) or 7\\(\\frac{1}{3}\\)<\/p>\n

c. \\(\\frac{4}{7}\\) \u00f7 1\\(\\frac{3}{4}\\) =
\nAnswer:
\nSimplest form of \\(\\frac{4}{7}\\) \u00f7 1\\(\\frac{3}{4}\\) is \\(\\frac{24}{77}\\).<\/p>\n

Explanation:
\n\\(\\frac{4}{7}\\) \u00f7 1\\(\\frac{3}{4}\\)
\n= \\(\\frac{4}{7}\\) \u00f7 {[(2 \u00d7 3) + 2] \u00f7 3}
\n= \\(\\frac{4}{7}\\) \u00f7 [(6 + 5) \u00f7 6]
\n= \\(\\frac{4}{7}\\) \u00f7 \\(\\frac{11}{6}\\)
\n= \\(\\frac{4}{7}\\) \u00d7 \\(\\frac{6}{11}\\)
\n= \\(\\frac{24}{77}\\)<\/p>\n

d. 2\\(\\frac{5}{6}\\) \u00f7 1\\(\\frac{2}{5}\\) =
\nAnswer:
\nSimplest form of 2\\(\\frac{5}{6}\\) \u00f7 1\\(\\frac{2}{5}\\) is \\(\\frac{85}{42}\\) or 2\\(\\frac{1}{85}\\).<\/p>\n

Explanation:
\n2\\(\\frac{5}{6}\\) \u00f7 1\\(\\frac{2}{5}\\)
\n= {[(2 \u00d7 6) + 5] \u00f7 6} \u00f7 {[(1 \u00d7 5) + 2] \u00f7 5}
\n= [(12 + 5) \u00f7 6]\u00a0 \u00f7 [(5 + 2) \u00f7 5]
\n= \\(\\frac{17}{6}\\) \u00f7 \\(\\frac{7}{5}\\)
\n= \\(\\frac{17}{6}\\) \u00d7 \\(\\frac{5}{7}\\)
\n= \\(\\frac{85}{42}\\) or 2\\(\\frac{1}{85}\\)<\/p>\n

Question 3.
\na. 3\\(\\frac{1}{4}\\) \u00f7 4 =
\nAnswer:
\nSimplest form of 3\\(\\frac{1}{4}\\) \u00f7 4 is \\(\\frac{13}{16}\\).<\/p>\n

Explanation:
\n3\\(\\frac{1}{4}\\) \u00f7 4
\n= {[(3 \u00d7 4) + 1] \u00f7 4} \u00f7 4
\n= [(12 + 1) \u00f7 4]\u00a0 \u00f7 4
\n= \\(\\frac{13}{4}\\) \u00f7 4
\n= \\(\\frac{13}{4}\\) \u00d7 \\(\\frac{1}{4}\\)
\n= \\(\\frac{13}{16}\\)<\/p>\n

b. 3\\(\\frac{2}{7}\\) \u00f7 4\\(\\frac{1}{3}\\) =
\nAnswer:
\nSimplest form of 3\\(\\frac{2}{7}\\) \u00f7 4\\(\\frac{1}{3}\\) is \\(\\frac{69}{91}\\).<\/p>\n

Explanation:
\n3\\(\\frac{2}{7}\\) \u00f7 4\\(\\frac{1}{3}\\)
\n= {[(3 \u00d7 7) + 2] \u00f7 7} \u00f7 {[(4 \u00d7 3) + 1] \u00f7 3}
\n= [(21 + 2) \u00f7 7]\u00a0 \u00f7 [(12 + 1) \u00f7 3]
\n= \\(\\frac{23}{7}\\) \u00f7 \\(\\frac{13}{3}\\)
\n= \\(\\frac{23}{7}\\) \u00d7 \\(\\frac{3}{13}\\)
\n= \\(\\frac{69}{91}\\)<\/p>\n

c. 4\\(\\frac{4}{5}\\) \u00f7 4\\(\\frac{1}{2}\\) =
\nAnswer:
\nSimplest form of 4\\(\\frac{4}{5}\\) \u00f7 4\\(\\frac{1}{2}\\) is \\(\\frac{48}{45}\\) or 1\\(\\frac{3}{45}\\).<\/p>\n

Explanation:
\n4\\(\\frac{4}{5}\\) \u00f7 4\\(\\frac{1}{2}\\)
\n= {[(4 \u00d7 5) + 4] \u00f7 5} \u00f7 {[(4 \u00d7 2) + 1] \u00f7 2}
\n= [(20 + 4) \u00f7 5]\u00a0 \u00f7 [(8 + 1) \u00f7 2]
\n= \\(\\frac{24}{5}\\) \u00f7 \\(\\frac{9}{2}\\)
\n= \\(\\frac{24}{5}\\) \u00d7 \\(\\frac{2}{9}\\)
\n= \\(\\frac{48}{45}\\) or 1\\(\\frac{3}{45}\\)<\/p>\n

Question 4.
\na. 3\\(\\frac{1}{5}\\) \u00f7 4\\(\\frac{3}{7}\\) =
\nAnswer:
\nSimplest form of 3\\(\\frac{1}{5}\\) \u00f7 4\\(\\frac{3}{7}\\) is \\(\\frac{112}{155}\\).<\/p>\n

Explanation:
\n3\\(\\frac{1}{5}\\) \u00f7 4\\(\\frac{3}{7}\\)
\n= {[(3 \u00d7 5) + 1] \u00f7 5} \u00f7 {[(4 \u00d7 7) + 3] \u00f7 7}
\n= [(15 + 1) \u00f7 5]\u00a0 \u00f7 [(28 + 3) \u00f7 7]
\n= \\(\\frac{16}{5}\\) \u00f7 \\(\\frac{31}{7}\\)
\n= \\(\\frac{16}{5}\\) \u00d7 \\(\\frac{7}{31}\\)
\n= \\(\\frac{112}{155}\\)<\/p>\n

b. 2\\(\\frac{8}{9}\\) \u00f7 3\\(\\frac{4}{5}\\) =
\nAnswer:
\nSimplest form of 2\\(\\frac{8}{9}\\) \u00f7 3\\(\\frac{4}{5}\\) is \\(\\frac{130}{171}\\).<\/p>\n

Explanation:
\n2\\(\\frac{8}{9}\\) \u00f7 3\\(\\frac{4}{5}\\)
\n= {[(2 \u00d7 9) + 8] \u00f7 9} \u00f7 {[(3 \u00d7 5) + 4] \u00f7 5}
\n= [(18 + 8) \u00f7 9]\u00a0 \u00f7 [(15 + 4) \u00f7 5]
\n= \\(\\frac{26}{9}\\) \u00f7 \\(\\frac{19}{5}\\)
\n= \\(\\frac{26}{9}\\) \u00d7 \\(\\frac{5}{19}\\)
\n= \\(\\frac{130}{171}\\)<\/p>\n

c. 2\\(\\frac{1}{6}\\) \u00f7 4\\(\\frac{1}{9}\\) =
\nAnswer:
\nSimplest form of 2\\(\\frac{1}{6}\\) \u00f7 4\\(\\frac{1}{9}\\) is \\(\\frac{39}{74}\\).<\/p>\n

Explanation:
\n2\\(\\frac{1}{6}\\) \u00f7 4\\(\\frac{1}{9}\\)
\n= {[(2 \u00d7 6) + 1] \u00f7 6} \u00f7 {[(4 \u00d7 9) + 1] \u00f7 9}
\n= [(12 + 1) \u00f7 6]\u00a0 \u00f7 [(36 + 1) \u00f7 9]
\n= \\(\\frac{13}{6}\\) \u00f7 \\(\\frac{37}{9}\\)
\n= \\(\\frac{13}{6}\\) \u00d7 \\(\\frac{9}{37}\\)
\n= \\(\\frac{13}{2}\\) \u00d7 \\(\\frac{3}{37}\\)
\n= \\(\\frac{39}{74}\\)<\/p>\n

d. 3\\(\\frac{1}{2}\\) \u00f7 3\\(\\frac{1}{4}\\) =
\nAnswer:
\nSimplest form of 3\\(\\frac{1}{2}\\) \u00f7 3\\(\\frac{1}{4}\\) is \\(\\frac{14}{13}\\) or 1\\(\\frac{1}{13}\\).<\/p>\n

Explanation:
\n3\\(\\frac{1}{2}\\) \u00f7 3\\(\\frac{1}{4}\\)
\n= {[(3 \u00d7 2) + 1] \u00f7 2} \u00f7 {[(3 \u00d7 4) + 1] \u00f7 4}
\n= [(6 + 1) \u00f7 2]\u00a0 \u00f7 [(12 + 1) \u00f7 4]
\n= \\(\\frac{7}{2}\\) \u00f7 \\(\\frac{13}{4}\\)
\n= \\(\\frac{7}{2}\\) \u00d7 \\(\\frac{4}{13}\\)
\n= \\(\\frac{7}{1}\\) \u00d7 \\(\\frac{2}{13}\\)
\n= \\(\\frac{14}{13}\\) or 1\\(\\frac{1}{13}\\)<\/p>\n

Question 5.
\na. 5\\(\\frac{2}{5}\\) \u00f7 3\\(\\frac{1}{3}\\) =
\nAnswer:
\nSimplest form of 5\\(\\frac{2}{5}\\) \u00f7 3\\(\\frac{1}{3}\\) is \\(\\frac{81}{50}\\) or 1\\(\\frac{31}{50}\\).<\/p>\n

Explanation:
\n5\\(\\frac{2}{5}\\) \u00f7 3\\(\\frac{1}{3}\\)
\n= {[(5 \u00d7 5) + 2] \u00f7 5} \u00f7 {[(3 \u00d7 3) + 1] \u00f7 3}
\n= [(25 + 2) \u00f7 5]\u00a0 \u00f7 [(9 + 1) \u00f7 3]
\n= \\(\\frac{27}{5}\\) \u00f7 \\(\\frac{10}{3}\\)
\n= \\(\\frac{27}{5}\\) \u00d7 \\(\\frac{3}{10}\\)
\n= \\(\\frac{81}{50}\\) or 1\\(\\frac{31}{50}\\)<\/p>\n

b. 7 \u00f7 2\\(\\frac{3}{8}\\) =
\nAnswer:
\nSimplest form of 7 \u00f7 2\\(\\frac{3}{8}\\) is \\(\\frac{56}{19}\\) or 2\\(\\frac{18}{19}\\).<\/p>\n

Explanation:
\n7 \u00f7 2\\(\\frac{3}{8}\\)
\n= 7 \u00f7 {[(2 \u00d7 8) + 3] \u00f7 8}
\n= 7 \u00f7 [(16 + 3) \u00f7 8]
\n= 7 \u00f7 \\(\\frac{19}{8}\\)
\n= 7 \u00d7 \\(\\frac{8}{19}\\)
\n= \\(\\frac{56}{19}\\) or 2\\(\\frac{18}{19}\\)<\/p>\n

c. 4\\(\\frac{2}{7}\\) \u00f7 3\\(\\frac{1}{3}\\) =
\nAnswer:
\nSimplest form of 4\\(\\frac{2}{7}\\) \u00f7 3\\(\\frac{1}{3}\\) is \\(\\frac{9}{7}\\) or 1\\(\\frac{2}{7}\\).<\/p>\n

Explanation:
\n4\\(\\frac{2}{7}\\) \u00f7 3\\(\\frac{1}{3}\\)
\n= {[(4 \u00d7 7) + 2] \u00f7 7} \u00f7 {[(3 \u00d7 3) + 1] \u00f7 3}
\n= [(28 + 2) \u00f7 7]\u00a0 \u00f7 [(9 + 1) \u00f7 3]
\n= \\(\\frac{30}{7}\\) \u00f7 \\(\\frac{10}{3}\\)
\n= \\(\\frac{30}{7}\\) \u00d7 \\(\\frac{3}{10}\\)
\n= \\(\\frac{3}{7}\\) \u00d7 \\(\\frac{3}{1}\\)
\n= \\(\\frac{9}{7}\\) or 1\\(\\frac{2}{7}\\)<\/p>\n

d. 2\\(\\frac{2}{3}\\) \u00f7 3\\(\\frac{6}{11}\\) =
\nAnswer:
\nSimplest form of 2\\(\\frac{2}{3}\\) \u00f7 3\\(\\frac{6}{11}\\) is \\(\\frac{88}{117}\\).<\/p>\n

Explanation:
\n2\\(\\frac{2}{3}\\) \u00f7 3\\(\\frac{6}{11}\\)
\n= {[(2 \u00d7 3) + 2] \u00f7 3} \u00f7 {[(3 \u00d7 11) + 6] \u00f7 11}
\n= [(6 + 2) \u00f7 3]\u00a0 \u00f7 [(33 + 6) \u00f7 11]
\n= \\(\\frac{8}{3}\\) \u00f7 \\(\\frac{39}{11}\\)
\n= \\(\\frac{8}{3}\\) \u00d7 \\(\\frac{11}{39}\\)
\n= \\(\\frac{88}{117}\\)<\/p>\n","protected":false},"excerpt":{"rendered":"

Go through the Spectrum Math Grade 6 Answer Key Chapter 2 Lesson 2.4 Dividing Mixed Numbers\u00a0and get the proper assistance needed during your homework. Spectrum Math Grade 6 Chapter 2 Lesson 2.4 Dividing Mixed Numbers Answers Key 3 \u00f7 4 Rename 3 as . \u00f7 Rename 4 as . \u00d7 = Multiply by the reciprocal. … Read more<\/a><\/p>\n","protected":false},"author":14,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[641],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/148821"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/14"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=148821"}],"version-history":[{"count":6,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/148821\/revisions"}],"predecessor-version":[{"id":162892,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/148821\/revisions\/162892"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=148821"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=148821"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=148821"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}