Spectrum Math Grade 5 Chapter 4 Lesson 3 Answer Key Changing Mixed Numbers to Improper Fractions

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$$\frac{5}{8}$$ _______
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$$\frac{1}{4}$$ _______
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$$\frac{3}{7}$$ _______
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$$\frac{1}{1}$$ _______
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$$\frac{3}{4}$$ _______
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$$\frac{5}{12}$$ _______
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$$\frac{1}{6}$$ _______
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$$\frac{2}{3}$$ _______
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$$\frac{7}{16}$$ _______
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$$\frac{1}{2}$$ _______
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$$\frac{7}{16}$$ _______
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$$\frac{5}{8}$$ _______
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$$\frac{1}{3}$$ _______
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$$\frac{2}{5}$$ _______
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$$\frac{1}{8}$$ _______
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$$\frac{1}{3}$$ _______
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$$\frac{2}{3}$$ _______
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$$\frac{2}{5}$$ _______
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$$\frac{3}{7}$$ _______
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$$\frac{8}{9}$$ _______
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$$\frac{2}{5}$$ _______
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$$\frac{5}{6}$$ _______
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$$\frac{4}{9}$$ _______
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$$\frac{5}{12}$$ _______
Improper fraction of 4$$\frac{5}{12}$$ is 53 ÷ 12 or latex]\frac{53}{12}[/latex].
4$$\frac{5}{12}$$ = {[(4 × 12) + 5] ÷ 12}