Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 4 Lesson 4.3 Changing Mixed Numbers to Improper Fractions regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 4 Lesson 4.3 Changing Mixed Numbers to Improper Fractions Answers Key
To change a mixed number to a fraction, multiply the denominator by the whole number. Then, add the numerator to the product to get the new numerator. Keep the denominator the same.
4\(\frac{3}{5}\) = \(\frac{(5 \times 4)+3}{5}\) = \(\frac{20+3}{5}\) = \(\frac{23}{5}\)
2\(\frac{3}{4}\) = \(\frac{(4 \times 2)+3}{4}\) = \(\frac{8+3}{4}\) = \(\frac{11}{4}\)
Change each mixed number to an improper fraction.
Question 1.
a. 2\(\frac{5}{8}\) _______
Answer:
Improper fraction of 2\(\frac{5}{8}\) is 21 ÷ 8 or \(\frac{21}{8}\).
Explanation:
2\(\frac{5}{8}\) = {[(2 × 8) + 5] ÷ 8}
= [(16 + 5) ÷ 8]
= 21 ÷ 8 or \(\frac{21}{8}\)
b. 3\(\frac{1}{4}\) _______
Answer:
Improper fraction of 3\(\frac{1}{4}\) is 13 ÷ 4 or \(\frac{13}{4}\).
Explanation:
3\(\frac{1}{4}\) = {[(3 × 4) + 1] ÷ 4}
= [(12 + 1) ÷ 4]
= 13 ÷ 4 or \(\frac{13}{4}\)
c. 2\(\frac{3}{7}\) _______
Answer:
Improper fraction of 2\(\frac{3}{7}\) is 17 ÷ 7 or \(\frac{17}{7}\).
Explanation:
2\(\frac{3}{7}\) = {[(2 × 7) + 3] ÷ 7}
= [(14 + 3) ÷ 7]
= 17 ÷ 7 or \(\frac{17}{7}\)
d. 4\(\frac{1}{1}\) _______
Answer:
Improper fraction of 4\(\frac{1}{1}\) is 5 ÷ 1 or \(\frac{5}{1}\).
Explanation:
4\(\frac{1}{1}\) = {[(4 × 1) + 1] ÷ 1}
= [(4 + 1) ÷ 1]
= 5 ÷ 1 or \(\frac{5}{1}\)
Question 2.
a. 3\(\frac{3}{4}\) _______
Answer:
Improper fraction of 3\(\frac{3}{4}\) is 15 ÷ 4 or \(\frac{15}{4}\).
Explanation:
3\(\frac{3}{4}\) = {[(3 × 4) + 3] ÷ 4}
= [(12 + 3) ÷ 4]
= 15 ÷ 4 or \(\frac{15}{4}\)
b. 2\(\frac{5}{12}\) _______
Answer:
Improper fraction of 2\(\frac{5}{12}\) is 29 ÷ 12 or \(\frac{29}{12}\).
Explanation:
2\(\frac{5}{12}\) = {[(2 × 12) + 5] ÷ 12}
= [(24 + 5) ÷ 12]
= 29 ÷ 12 or \(\frac{29}{12}\)
c. 4\(\frac{1}{6}\) _______
Answer:
Improper fraction of 4\(\frac{1}{6}\) is 25 ÷ 6 or \(\frac{25}{6}\).
Explanation:
4\(\frac{1}{6}\) = {[(4 × 6) + 1] ÷ 6}
= [(24 + 1) ÷ 6]
= 25 ÷ 6 or \(\frac{25}{6}\)
d. 5\(\frac{2}{3}\) _______
Answer:
Improper fraction of 5\(\frac{2}{3}\) is 17 ÷ 3 or \(\frac{17}{3}\).
Explanation:
5\(\frac{2}{3}\) = {[(5 × 3) + 2] ÷ 3}
= [(15 + 2) ÷ 3]
= 17 ÷ 3 or \(\frac{17}{3}\)
Question 3.
a. 2\(\frac{7}{16}\) _______
Answer:
Improper fraction of 2\(\frac{7}{16}\) is 39 ÷ 16 or \(\frac{39}{16}\).
Explanation:
2\(\frac{7}{16}\) = {[(2 × 16) + 7] ÷ 16}
= [(32 + 7) ÷ 16]
= 39 ÷ 16 or \(\frac{39}{16}\)
b. 3\(\frac{1}{2}\) _______
Answer:
Improper fraction of 3\(\frac{1}{2}\) is 7 ÷ 2 or \(\frac{7}{2}\).
Explanation:
3\(\frac{1}{2}\) = {[(3 × 2) + 1] ÷ 2}
= [(6 + 1) ÷ 2]
= 7 ÷ 2 or \(\frac{7}{2}\)
c. 1\(\frac{7}{16}\) _______
Answer:
Improper fraction of 1\(\frac{7}{16}\) is 23 ÷ 16 or \(\frac{23}{16}\).
Explanation:
1\(\frac{7}{16}\) = {[(1 × 16) + 7] ÷ 16}
= [(16 + 7) ÷ 16]
= 23 ÷ 16 or \(\frac{23}{16}\)
d. 2\(\frac{5}{8}\) _______
Answer:
Improper fraction of 2\(\frac{5}{8}\) is 21 ÷ 8 or \(\frac{21}{8}\).
Explanation:
2\(\frac{5}{8}\) = {[(2 × 8) + 5] ÷ 8}
= [(16 + 5) ÷ 8]
= 21 ÷ 8 or \(\frac{21}{8}\)
Question 4.
a. 3\(\frac{1}{3}\) _______
Answer:
Improper fraction of 3\(\frac{1}{3}\) is 10 ÷ 3 or \(\frac{10}{3}\).
Explanation:
3\(\frac{1}{3}\) = {[(3 × 3) + 1] ÷ 3}
= [(9 + 1) ÷ 3]
= 10 ÷ 3 or \(\frac{10}{3}\)
b. 4\(\frac{2}{5}\) _______
Answer:
Improper fraction of 4\(\frac{2}{5}\) is 22 ÷ 5 or \(\frac{22}{5}\).
Explanation:
4\(\frac{2}{5}\) = {[(4 × 5) + 2] ÷ 5}
= [(20 + 2) ÷ 5]
= 22 ÷ 5 or \(\frac{22}{5}\)
c. 3\(\frac{1}{8}\) _______
Answer:
Improper fraction of 3\(\frac{1}{8}\) is 25 ÷ 8 or \(\frac{25}{8}\).
Explanation:
3\(\frac{1}{8}\) = {[(3 × 8) + 1] ÷ 8}
= [(24 + 1) ÷ 8]
= 25 ÷ 8 or \(\frac{25}{8}\)
d. 7\(\frac{1}{3}\) _______
Answer:
Improper fraction of 7\(\frac{1}{3}\) is 22 ÷ 3 or \(\frac{22}{3}\).
Explanation:
7\(\frac{1}{3}\) = {[(7 × 3) + 1] ÷ 3}
= [(21 + 1) ÷ 3]
= 22 ÷ 3 or \(\frac{22}{3}\).
Question 5.
a. 8\(\frac{2}{3}\) _______
Answer:
Improper fraction of 8\(\frac{2}{3}\) is 26 ÷ 3 or \(\frac{26}{3}\).
Explanation:
8\(\frac{2}{3}\) = {[(8 × 3) + 2] ÷ 3}
= [(24 + 2) ÷ 3]
= 26 ÷ 3 or \(\frac{26}{3}\)
b. 1\(\frac{2}{5}\) _______
Answer:
Improper fraction of 1\(\frac{2}{5}\) is 7 ÷ 5 or \(\frac{7}{5}\).
Explanation:
1\(\frac{2}{5}\) = {[(1 × 5) + 2] ÷ 5}
= [(5 + 2) ÷ 5]
= 7 ÷ 5 or \(\frac{7}{5}\)
c. 2\(\frac{3}{7}\) _______
Answer:
Improper fraction of 2\(\frac{3}{7}\) is 17 ÷ 7 or \(\frac{17}{7}\).
Explanation:
2\(\frac{3}{7}\) = {[(2 × 7) + 3] ÷ 7}
= [(14 + 3) ÷ 7]
= 17 ÷ 7 or \(\frac{17}{7}\)
d. 3\(\frac{8}{9}\) _______
Answer:
Improper fraction of 3\(\frac{8}{9}\) is 35 ÷ 9 or \(\frac{35}{9}\).
Explanation:
3\(\frac{8}{9}\) = {[(3 × 9) + 8] ÷ 9}
= [(27 + 8) ÷ 9]
= 35 ÷ 9 or \(\frac{35}{9}\)
Question 6.
a. 4\(\frac{2}{5}\) _______
Answer:
Improper fraction of 4\(\frac{2}{5}\) is 22 ÷ 5 or \(\frac{22}{5}\).
Explanation:
4\(\frac{2}{5}\) = {[(4 × 5) + 2] ÷ 5}
= [(20 + 2) ÷ 5]
= 22 ÷ 5 or \(\frac{22}{5}\)
b. 3\(\frac{5}{6}\) _______
Answer:
Improper fraction of 3\(\frac{5}{6}\) is 23 ÷ 6 or \(\frac{23}{6}\).
Explanation:
3\(\frac{5}{6}\) = {[(3 × 6) + 5] ÷ 6}
= [(18 + 5) ÷ 6]
= 23 ÷ 6 or \(\frac{23}{6}\)
c. 2\(\frac{4}{9}\) _______
Answer:
Improper fraction of 2\(\frac{4}{9}\) is 22 ÷ 9 or \(\frac{22}{9}\).
Explanation:
2\(\frac{4}{9}\) = {[(2 × 9) + 4] ÷ 9}
= [(18 + 4) ÷ 9]
= 22 ÷ 9 or \(\frac{22}{9}\)
d. 4\(\frac{5}{12}\) _______
Answer:
Improper fraction of 4\(\frac{5}{12}\) is 53 ÷ 12 or latex]\frac{53}{12}[/latex].
Explanation:
4\(\frac{5}{12}\) = {[(4 × 12) + 5] ÷ 12}
= [(48 + 5) ÷ 12]
= 53 ÷ 12 or latex]\frac{53}{12}[/latex]