Go through the Spectrum Math Grade 6 Answer Key Chapter 2 Lesson 2.4 Dividing Mixed Numbers and get the proper assistance needed during your homework.
Spectrum Math Grade 6 Chapter 2 Lesson 2.4 Dividing Mixed Numbers Answers Key
3\(\frac{2}{5}\) ÷ 4 Rename 3\(\frac{2}{5}\) as \(\frac{17}{5}\).
\(\frac{17}{5}\) ÷ \(\frac{4}{1}\) Rename 4 as \(\frac{4}{1}\).
\(\frac{17}{5}\) × \(\frac{1}{4}\) = \(\frac{17}{20}\) Multiply by the reciprocal.
4\(\frac{1}{3}\) ÷ 2\(\frac{3}{4}\)
\(\frac{13}{3}\) ÷ \(\frac{11}{4}\) Rename
\(\frac{13}{3}\) × \(\frac{4}{11}\) = \(\frac{52}{33}\) = 1\(\frac{19}{33}\) Multiply by the reciprocal.
Divide. Write answers in simplest form.
Question 1.
a. 2\(\frac{1}{2}\) ÷ 3\(\frac{1}{3}\)
Answer:
Simplest form of 2\(\frac{1}{2}\) ÷ 3\(\frac{1}{3}\) is \(\frac{3}{4}\).
Explanation:
2\(\frac{1}{2}\) ÷ 3\(\frac{1}{3}\)
= 2\(\frac{1}{2}\) ÷ 3\(\frac{1}{3}\)
= {[(2 × 2) + 1] ÷ 2} ÷ {[(3 × 3) + 1] ÷ 3}
= [(4 + 1) ÷ 2] ÷ [(9 + 1) ÷ 3]
= \(\frac{5}{2}\) ÷ \(\frac{10}{3}\)
= \(\frac{5}{2}\) × \(\frac{3}{10}\)
= \(\frac{1}{2}\) × \(\frac{3}{2}\)
= \(\frac{3}{4}\)
b. 1\(\frac{1}{8}\) ÷ 2\(\frac{1}{4}\)
Answer:
Simplest form of 1\(\frac{1}{8}\) ÷ 2\(\frac{1}{4}\) is \(\frac{1}{2}\).
Explanation:
1\(\frac{1}{8}\) ÷ 2\(\frac{1}{4}\)
= {[(1 × 8) + 1] ÷ 8} ÷ {[(2 × 4) + 1] ÷ 4}
= [(8 + 1) ÷ 8] ÷ [(8 + 1) ÷ 4]
= \(\frac{9}{8}\) ÷ \(\frac{9}{4}\)
= \(\frac{9}{8}\) × \(\frac{4}{9}\)
= \(\frac{1}{8}\) × \(\frac{4}{1}\)
= \(\frac{1}{2}\) × \(\frac{1}{1}\)
= \(\frac{1}{2}\).
c. 8 ÷ 3\(\frac{1}{2}\)
Answer:
Simplest form of 8 ÷ 3\(\frac{1}{2}\) is \(\frac{16}{7}\) or 2\(\frac{2}{7}\).
Explanation:
8 ÷ 3\(\frac{1}{2}\)
= 8 ÷ {[(3 × 2) + 1] ÷ 2}
= 8 ÷ [(6 + 1) ÷ 2]
= 8 ÷ \(\frac{7}{2}\)
= 8 × \(\frac{2}{7}\)
= \(\frac{16}{7}\) or 2\(\frac{2}{7}\)
d. 2\(\frac{1}{3}\) ÷ 5
Answer:
Simplest form of 2\(\frac{1}{3}\) ÷ 5 is \(\frac{7}{15}\).
Explanation:
2\(\frac{1}{3}\) ÷ 5
= {[(2 × 3) + 1] ÷ 3} ÷ 5
= [(6 + 1) ÷ 3] ÷ 5
= \(\frac{7}{3}\) ÷ 5
= \(\frac{7}{3}\) × \(\frac{1}{5}\)
= \(\frac{7}{15}\)
Question 2.
a. 4\(\frac{1}{2}\) ÷ 1\(\frac{1}{6}\)
Answer:
Simplest form of 4\(\frac{1}{2}\) ÷ 1\(\frac{1}{6}\) is \(\frac{27}{7}\) or 3\(\frac{6}{7}\).
Explanation:
4\(\frac{1}{2}\) ÷ 1\(\frac{1}{6}\)
= {[(4 × 2) + 1] ÷ 2} ÷ {[(1 × 6) + 1] ÷ 6}
= [(8 + 1) ÷ 2] ÷ [(6 + 1) ÷ 6]
= \(\frac{9}{2}\) ÷ \(\frac{7}{6}\)
= \(\frac{9}{2}\) × \(\frac{6}{7}\)
= \(\frac{9}{1}\) × \(\frac{3}{7}\)
= \(\frac{27}{7}\) or 3\(\frac{6}{7}\)
b. 4\(\frac{5}{6}\) ÷ 2\(\frac{2}{5}\)
Answer:
Simplest form of 4\(\frac{5}{6}\) ÷ 2\(\frac{2}{5}\) is \(\frac{145}{72}\) or 2\(\frac{1}{72}\).
Explanation:
4\(\frac{5}{6}\) ÷ 2\(\frac{2}{5}\)
= {[(4 × 6) + 5] ÷ 6} ÷ {[(2 × 5) + 2] ÷ 5}
= [(24 + 5) ÷ 6] ÷ [(10 + 2) ÷ 5]
= \(\frac{29}{6}\) ÷ \(\frac{12}{5}\)
= \(\frac{29}{6}\) × \(\frac{5}{12}\)
= \(\frac{145}{72}\) or 2\(\frac{1}{72}\)
c. 4\(\frac{1}{3}\) ÷ 6
Answer:
Simplest form of 4\(\frac{1}{3}\) ÷ 6 is \(\frac{13}{18}\).
Explanation:
4\(\frac{1}{3}\) ÷ 6
= {[(4 × 3) + 1] ÷ 3} ÷ 6
= [(12 + 1) ÷ 3] ÷ 6
= \(\frac{13}{3}\) ÷ 6
= \(\frac{13}{3}\) × \(\frac{1}{6}\)
= \(\frac{13}{18}\)
d. 1\(\frac{1}{2}\) ÷ 3\(\frac{1}{8}\)
Answer:
Simplest form of 1\(\frac{1}{2}\) ÷ 3\(\frac{1}{8}\) is \(\frac{12}{25}\).
Explanation:
1\(\frac{1}{2}\) ÷ 3\(\frac{1}{8}\)
= {[(1 × 2) + 1] ÷ 2} ÷ {[(3 × 8) + 1] ÷ 8}
= [(2 + 1) ÷ 2] ÷ [(24 + 1) ÷ 8]
= \(\frac{3}{2}\) ÷ \(\frac{25}{8}\)
= \(\frac{3}{2}\) × \(\frac{8}{25}\)
= \(\frac{3}{1}\) × \(\frac{4}{25}\)
= \(\frac{12}{25}\)
Question 3.
a. 6 ÷ 2\(\frac{1}{2}\)
Answer:
Simplest form of 6 ÷ 2\(\frac{1}{2}\) is \(\frac{12}{5}\) or 2\(\frac{2}{5}\).
Explanation:
6 ÷ 2\(\frac{1}{2}\)
= 6÷ {[(2 × 2) + 1] ÷ 2}
= 6 ÷ [(4 + 1) ÷ 2]
= 6 ÷ \(\frac{5}{2}\)
= 6 × \(\frac{2}{5}\)
= \(\frac{12}{5}\) or 2\(\frac{2}{5}\)
b. 1\(\frac{1}{2}\) ÷ 3
Answer:
Simplest form of 1\(\frac{1}{2}\) ÷ 3 is \(\frac{1}{2}\).
Explanation:
1\(\frac{1}{2}\) ÷ 3
= {[(1 × 2) + 1] ÷ 2} ÷ 3
= [(2 + 1) ÷ 2] ÷ 3
= \(\frac{3}{2}\) ÷ 3
= \(\frac{3}{2}\) × \(\frac{1}{3}\)
= \(\frac{1}{2}\) × \(\frac{1}{1}\)
= \(\frac{1}{2}\)
c. 5 ÷ 3\(\frac{3}{4}\)
Answer:
Simplest form of 5 ÷ 3\(\frac{3}{4}\) is \(\frac{4}{3}\) or 1\(\frac{1}{3}\).
Explanation:
5 ÷ 3\(\frac{3}{4}\)
= 5 ÷ {[(3 × 4) + 3] ÷ 4}
= 5 ÷ [(12 + 3) ÷ 4]
= 5 ÷ \(\frac{15}{4}\)
= 5 × \(\frac{4}{15}\)
= 1 × \(\frac{4}{3}\)
= \(\frac{4}{3}\) or 1\(\frac{1}{3}\)
d. 2\(\frac{1}{8}\) ÷ 3
Answer:
Simplest form of 2\(\frac{1}{8}\) ÷ 3 is \(\frac{17}{24}\).
Explanation:
2\(\frac{1}{8}\) ÷ 3
= {[(2 × 8) + 1] ÷ 8} ÷ 3
= [(16 + 1) ÷ 8] ÷ 3
= \(\frac{17}{8}\) ÷ 3
= \(\frac{17}{8}\) × \(\frac{1}{3}\)
= \(\frac{17}{24}\)
Question 4.
a.
3\(\frac{3}{5}\) ÷ 4
Answer:
Simplest form of 3\(\frac{3}{5}\) ÷ 4 is \(\frac{9}{10}\).
Explanation:
3\(\frac{3}{5}\) ÷ 4
= {[(3 × 5) + 3] ÷ 5} ÷ 4
= [(15 + 3) ÷ 5] ÷ 4
= \(\frac{18}{5}\) ÷ 4
= \(\frac{18}{5}\) × \(\frac{1}{4}\)
= \(\frac{18}{5}\) × \(\frac{1}{4}\)
= \(\frac{9}{5}\) × \(\frac{1}{2}\)
= \(\frac{9}{10}\)
b. 3\(\frac{1}{3}\) ÷ 2\(\frac{3}{8}\)
Answer:
Simplest form of 3\(\frac{1}{3}\) ÷ 2\(\frac{3}{8}\) is \(\frac{80}{57}\) or 1\(\frac{23}{57}\).
Explanation:
3\(\frac{1}{3}\) ÷ 2\(\frac{3}{8}\)
= {[(3 × 3) + 1] ÷ 3} ÷ {[(2 × 8) + 3] ÷ 8}
= [(9 + 1) ÷ 3] ÷ [(16 + 3) ÷ 8]
= \(\frac{10}{3}\) ÷ \(\frac{19}{8}\)
= \(\frac{10}{3}\) × \(\frac{8}{19}\)
= \(\frac{80}{57}\) or 1\(\frac{23}{57}\)
c. 1 ÷ 4\(\frac{1}{3}\)
Answer:
Simplest form of 1 ÷ 4\(\frac{1}{3}\) is \(\frac{3}{13}\).
Explanation:
1 ÷ 4\(\frac{1}{3}\)
= 1 ÷ {[(4 × 3) + 1] ÷ 3}
= 1 ÷ [(12 + 1) ÷ 3]
= 1 ÷ \(\frac{13}{3}\)
= 1 × \(\frac{3}{13}\)
= \(\frac{3}{13}\)
d. 9 ÷ 1\(\frac{2}{3}\)
Answer:
Simplest form of 9 ÷ 1\(\frac{2}{3}\) is \(\frac{27}{5}\) or 5\(\frac{2}{5}\).
Explanation:
9 ÷ 1\(\frac{2}{3}\)
= 9 ÷ {[(1 × 3) + 2] ÷ 3}
= 9 ÷ [(3+ 2) ÷ 3]
= 9 ÷ \(\frac{5}{3}\)
= 9 × \(\frac{3}{5}\)
= \(\frac{27}{5}\) or 5\(\frac{2}{5}\)
Divide. Write answers in simplest form.
Question 1.
a. 1\(\frac{3}{4}\) ÷ \(\frac{2}{3}\) =
Answer:
Simplest form of 1\(\frac{3}{4}\) ÷ \(\frac{2}{3}\) is \(\frac{21}{8}\) or 2\(\frac{5}{8}\).
Explanation:
1\(\frac{3}{4}\) ÷ \(\frac{2}{3}\)
= {[(1 × 4) + 3] ÷ 4} ÷ \(\frac{2}{3}\)
= [(4 + 3) ÷ 4] ÷ \(\frac{2}{3}\)
= \(\frac{7}{4}\) ÷ \(\frac{2}{3}\)
= \(\frac{7}{4}\) × \(\frac{3}{2}\)
= \(\frac{21}{8}\) or 2\(\frac{5}{8}\)
b. 9 ÷ 1\(\frac{2}{3}\) =
Answer:
Simplest form of 9 ÷ 1\(\frac{2}{3}\) is \(\frac{27}{5}\) or 5\(\frac{2}{5}\).
Explanation:
9 ÷ 1\(\frac{2}{3}\)
= 9 ÷ {[(1 × 3) + 2] ÷ 3}
= 9 ÷ [(3 + 2) ÷ 3]
= 9 ÷ \(\frac{5}{3}\)
= 9 × \(\frac{3}{5}\)
= \(\frac{27}{5}\) or 5\(\frac{2}{5}\)
c. \(\frac{4}{9}\) ÷ 1\(\frac{3}{5}\) =
Answer:
Simplest form of \(\frac{4}{9}\) ÷ 1\(\frac{3}{5}\) is \(\frac{5}{18}\).
Explanation:
\(\frac{4}{9}\) ÷ 1\(\frac{3}{5}\)
= \(\frac{4}{9}\) ÷ {[(1 × 5) + 3] ÷ 5}
= \(\frac{4}{9}\) ÷ [(5 + 3) ÷ 5]
= \(\frac{4}{9}\) ÷ \(\frac{8}{5}\)
= \(\frac{4}{9}\) × \(\frac{5}{8}\)
= \(\frac{1}{9}\) × \(\frac{5}{2}\)
= \(\frac{5}{18}\)
d. 4\(\frac{1}{4}\) ÷ 6 =
Answer:
Simplest form of 4\(\frac{1}{4}\) ÷ 6 is \(\frac{3}{4}\).
Explanation:
4\(\frac{1}{4}\) ÷ 6
= {[(4 × 4) + 1] ÷ 4} ÷ 6
= [(17 + 1) ÷ 4] ÷ 6
= \(\frac{18}{4}\) ÷ 6
= \(\frac{18}{4}\) × \(\frac{1}{6}\)
= \(\frac{3}{4}\) × \(\frac{1}{1}\)
= \(\frac{3}{4}\)
Question 2.
a. 1\(\frac{5}{6}\) ÷ \(\frac{1}{3}\) =
Answer:
Simplest form of 1\(\frac{5}{6}\) ÷ \(\frac{1}{3}\) is \(\frac{11}{2}\) or 5\(\frac{1}{2}\).
Explanation:
1\(\frac{5}{6}\) ÷ \(\frac{1}{3}\)
= {[(1 × 6) + 5] ÷ 6} ÷ \(\frac{1}{3}\)
= [(6 + 5) ÷ 6] ÷ \(\frac{1}{3}\)
= \(\frac{11}{6}\) ÷ \(\frac{1}{3}\)
= \(\frac{11}{6}\) × \(\frac{3}{1}\)
= \(\frac{11}{2}\) × \(\frac{1}{1}\)
= \(\frac{11}{2}\) or 5\(\frac{1}{2}\)
b. 2\(\frac{2}{3}\) ÷ \(\frac{1}{4}\) =
Answer:
Simplest form of 2\(\frac{2}{3}\) ÷ \(\frac{1}{4}\) is \(\frac{22}{3}\) or 7\(\frac{1}{3}\).
Explanation:
2\(\frac{2}{3}\) ÷ \(\frac{1}{4}\)
= {[(2 × 3) + 2] ÷ 3} ÷ \(\frac{1}{4}\)
= [(6 + 5) ÷ 6] ÷ \(\frac{1}{4}\)
= \(\frac{11}{6}\) ÷ \(\frac{1}{4}\)
= \(\frac{11}{6}\) × \(\frac{4}{1}\)
= \(\frac{11}{3}\) × \(\frac{2}{1}\)
= \(\frac{22}{3}\) or 7\(\frac{1}{3}\)
c. \(\frac{4}{7}\) ÷ 1\(\frac{3}{4}\) =
Answer:
Simplest form of \(\frac{4}{7}\) ÷ 1\(\frac{3}{4}\) is \(\frac{24}{77}\).
Explanation:
\(\frac{4}{7}\) ÷ 1\(\frac{3}{4}\)
= \(\frac{4}{7}\) ÷ {[(2 × 3) + 2] ÷ 3}
= \(\frac{4}{7}\) ÷ [(6 + 5) ÷ 6]
= \(\frac{4}{7}\) ÷ \(\frac{11}{6}\)
= \(\frac{4}{7}\) × \(\frac{6}{11}\)
= \(\frac{24}{77}\)
d. 2\(\frac{5}{6}\) ÷ 1\(\frac{2}{5}\) =
Answer:
Simplest form of 2\(\frac{5}{6}\) ÷ 1\(\frac{2}{5}\) is \(\frac{85}{42}\) or 2\(\frac{1}{85}\).
Explanation:
2\(\frac{5}{6}\) ÷ 1\(\frac{2}{5}\)
= {[(2 × 6) + 5] ÷ 6} ÷ {[(1 × 5) + 2] ÷ 5}
= [(12 + 5) ÷ 6] ÷ [(5 + 2) ÷ 5]
= \(\frac{17}{6}\) ÷ \(\frac{7}{5}\)
= \(\frac{17}{6}\) × \(\frac{5}{7}\)
= \(\frac{85}{42}\) or 2\(\frac{1}{85}\)
Question 3.
a. 3\(\frac{1}{4}\) ÷ 4 =
Answer:
Simplest form of 3\(\frac{1}{4}\) ÷ 4 is \(\frac{13}{16}\).
Explanation:
3\(\frac{1}{4}\) ÷ 4
= {[(3 × 4) + 1] ÷ 4} ÷ 4
= [(12 + 1) ÷ 4] ÷ 4
= \(\frac{13}{4}\) ÷ 4
= \(\frac{13}{4}\) × \(\frac{1}{4}\)
= \(\frac{13}{16}\)
b. 3\(\frac{2}{7}\) ÷ 4\(\frac{1}{3}\) =
Answer:
Simplest form of 3\(\frac{2}{7}\) ÷ 4\(\frac{1}{3}\) is \(\frac{69}{91}\).
Explanation:
3\(\frac{2}{7}\) ÷ 4\(\frac{1}{3}\)
= {[(3 × 7) + 2] ÷ 7} ÷ {[(4 × 3) + 1] ÷ 3}
= [(21 + 2) ÷ 7] ÷ [(12 + 1) ÷ 3]
= \(\frac{23}{7}\) ÷ \(\frac{13}{3}\)
= \(\frac{23}{7}\) × \(\frac{3}{13}\)
= \(\frac{69}{91}\)
c. 4\(\frac{4}{5}\) ÷ 4\(\frac{1}{2}\) =
Answer:
Simplest form of 4\(\frac{4}{5}\) ÷ 4\(\frac{1}{2}\) is \(\frac{48}{45}\) or 1\(\frac{3}{45}\).
Explanation:
4\(\frac{4}{5}\) ÷ 4\(\frac{1}{2}\)
= {[(4 × 5) + 4] ÷ 5} ÷ {[(4 × 2) + 1] ÷ 2}
= [(20 + 4) ÷ 5] ÷ [(8 + 1) ÷ 2]
= \(\frac{24}{5}\) ÷ \(\frac{9}{2}\)
= \(\frac{24}{5}\) × \(\frac{2}{9}\)
= \(\frac{48}{45}\) or 1\(\frac{3}{45}\)
Question 4.
a. 3\(\frac{1}{5}\) ÷ 4\(\frac{3}{7}\) =
Answer:
Simplest form of 3\(\frac{1}{5}\) ÷ 4\(\frac{3}{7}\) is \(\frac{112}{155}\).
Explanation:
3\(\frac{1}{5}\) ÷ 4\(\frac{3}{7}\)
= {[(3 × 5) + 1] ÷ 5} ÷ {[(4 × 7) + 3] ÷ 7}
= [(15 + 1) ÷ 5] ÷ [(28 + 3) ÷ 7]
= \(\frac{16}{5}\) ÷ \(\frac{31}{7}\)
= \(\frac{16}{5}\) × \(\frac{7}{31}\)
= \(\frac{112}{155}\)
b. 2\(\frac{8}{9}\) ÷ 3\(\frac{4}{5}\) =
Answer:
Simplest form of 2\(\frac{8}{9}\) ÷ 3\(\frac{4}{5}\) is \(\frac{130}{171}\).
Explanation:
2\(\frac{8}{9}\) ÷ 3\(\frac{4}{5}\)
= {[(2 × 9) + 8] ÷ 9} ÷ {[(3 × 5) + 4] ÷ 5}
= [(18 + 8) ÷ 9] ÷ [(15 + 4) ÷ 5]
= \(\frac{26}{9}\) ÷ \(\frac{19}{5}\)
= \(\frac{26}{9}\) × \(\frac{5}{19}\)
= \(\frac{130}{171}\)
c. 2\(\frac{1}{6}\) ÷ 4\(\frac{1}{9}\) =
Answer:
Simplest form of 2\(\frac{1}{6}\) ÷ 4\(\frac{1}{9}\) is \(\frac{39}{74}\).
Explanation:
2\(\frac{1}{6}\) ÷ 4\(\frac{1}{9}\)
= {[(2 × 6) + 1] ÷ 6} ÷ {[(4 × 9) + 1] ÷ 9}
= [(12 + 1) ÷ 6] ÷ [(36 + 1) ÷ 9]
= \(\frac{13}{6}\) ÷ \(\frac{37}{9}\)
= \(\frac{13}{6}\) × \(\frac{9}{37}\)
= \(\frac{13}{2}\) × \(\frac{3}{37}\)
= \(\frac{39}{74}\)
d. 3\(\frac{1}{2}\) ÷ 3\(\frac{1}{4}\) =
Answer:
Simplest form of 3\(\frac{1}{2}\) ÷ 3\(\frac{1}{4}\) is \(\frac{14}{13}\) or 1\(\frac{1}{13}\).
Explanation:
3\(\frac{1}{2}\) ÷ 3\(\frac{1}{4}\)
= {[(3 × 2) + 1] ÷ 2} ÷ {[(3 × 4) + 1] ÷ 4}
= [(6 + 1) ÷ 2] ÷ [(12 + 1) ÷ 4]
= \(\frac{7}{2}\) ÷ \(\frac{13}{4}\)
= \(\frac{7}{2}\) × \(\frac{4}{13}\)
= \(\frac{7}{1}\) × \(\frac{2}{13}\)
= \(\frac{14}{13}\) or 1\(\frac{1}{13}\)
Question 5.
a. 5\(\frac{2}{5}\) ÷ 3\(\frac{1}{3}\) =
Answer:
Simplest form of 5\(\frac{2}{5}\) ÷ 3\(\frac{1}{3}\) is \(\frac{81}{50}\) or 1\(\frac{31}{50}\).
Explanation:
5\(\frac{2}{5}\) ÷ 3\(\frac{1}{3}\)
= {[(5 × 5) + 2] ÷ 5} ÷ {[(3 × 3) + 1] ÷ 3}
= [(25 + 2) ÷ 5] ÷ [(9 + 1) ÷ 3]
= \(\frac{27}{5}\) ÷ \(\frac{10}{3}\)
= \(\frac{27}{5}\) × \(\frac{3}{10}\)
= \(\frac{81}{50}\) or 1\(\frac{31}{50}\)
b. 7 ÷ 2\(\frac{3}{8}\) =
Answer:
Simplest form of 7 ÷ 2\(\frac{3}{8}\) is \(\frac{56}{19}\) or 2\(\frac{18}{19}\).
Explanation:
7 ÷ 2\(\frac{3}{8}\)
= 7 ÷ {[(2 × 8) + 3] ÷ 8}
= 7 ÷ [(16 + 3) ÷ 8]
= 7 ÷ \(\frac{19}{8}\)
= 7 × \(\frac{8}{19}\)
= \(\frac{56}{19}\) or 2\(\frac{18}{19}\)
c. 4\(\frac{2}{7}\) ÷ 3\(\frac{1}{3}\) =
Answer:
Simplest form of 4\(\frac{2}{7}\) ÷ 3\(\frac{1}{3}\) is \(\frac{9}{7}\) or 1\(\frac{2}{7}\).
Explanation:
4\(\frac{2}{7}\) ÷ 3\(\frac{1}{3}\)
= {[(4 × 7) + 2] ÷ 7} ÷ {[(3 × 3) + 1] ÷ 3}
= [(28 + 2) ÷ 7] ÷ [(9 + 1) ÷ 3]
= \(\frac{30}{7}\) ÷ \(\frac{10}{3}\)
= \(\frac{30}{7}\) × \(\frac{3}{10}\)
= \(\frac{3}{7}\) × \(\frac{3}{1}\)
= \(\frac{9}{7}\) or 1\(\frac{2}{7}\)
d. 2\(\frac{2}{3}\) ÷ 3\(\frac{6}{11}\) =
Answer:
Simplest form of 2\(\frac{2}{3}\) ÷ 3\(\frac{6}{11}\) is \(\frac{88}{117}\).
Explanation:
2\(\frac{2}{3}\) ÷ 3\(\frac{6}{11}\)
= {[(2 × 3) + 2] ÷ 3} ÷ {[(3 × 11) + 6] ÷ 11}
= [(6 + 2) ÷ 3] ÷ [(33 + 6) ÷ 11]
= \(\frac{8}{3}\) ÷ \(\frac{39}{11}\)
= \(\frac{8}{3}\) × \(\frac{11}{39}\)
= \(\frac{88}{117}\)