# McGraw Hill Math Grade 8 Lesson 3.2 Answer Key Changing Mixed Numbers to Improper Fractions

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 3.2 Changing Mixed Numbers to Improper Fractions to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 8 Answer Key Lesson 3.2 Changing Mixed Numbers to Improper Fractions

Exercises Convert to an Improper Fraction

Question 1.
5$$\frac{3}{4}$$
$$\frac{23}{4}$$,

Explanation:
Given 5$$\frac{3}{4}$$ to convert to an improper fraction
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{5 X 4 + 3}{4}$$ = $$\frac{20 + 3}{4}$$ = $$\frac{23}{4}$$.

Question 2.
7$$\frac{5}{7}$$
$$\frac{54}{7}$$,

Explanation:
Given 7$$\frac{5}{7}$$ to convert to an improper fraction,
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{7 X 7 + 5}{7}$$ = $$\frac{49 + 5}{7}$$
= $$\frac{54}{7}$$.

Question 3.
25$$\frac{7}{11}$$
$$\frac{282}{11}$$,

Explanation:
Given 25$$\frac{7}{11}$$ to convert to an improper fraction,
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{25 X 11 + 7}{11}$$ = $$\frac{275 + 7}{11}$$ = $$\frac{282}{11}$$.

Question 4.
24$$\frac{4}{5}$$
$$\frac{124}{5}$$,

Explanation:
Given 24$$\frac{4}{5}$$ to convert to an improper fraction,
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{24 X 5 + 4}{5}$$ = $$\frac{120 + 4}{5}$$ = $$\frac{124}{5}$$.

Question 5.
16$$\frac{5}{13}$$
$$\frac{213}{13}$$,

Explanation:
Given 16$$\frac{5}{13}$$ to convert to an improper fraction,
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{16 X 13 + 5}{13}$$ = $$\frac{208 + 5}{13}$$ = $$\frac{213}{13}$$.

Question 6.
14$$\frac{9}{14}$$
$$\frac{205}{14}$$,

Explanation:
Given 14$$\frac{9}{14}$$ to convert to an improper fraction,
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{14 X 14 + 9}{14}$$ = $$\frac{196 + 9}{14}$$ = $$\frac{205}{14}$$.

Question 7.
53$$\frac{4}{9}$$
$$\frac{481}{9}$$,

Explanation:
Given 53$$\frac{4}{9}$$ to convert to an improper fraction,
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{53 X 9 + 4}{9}$$ = $$\frac{477 + 4}{9}$$ = $$\frac{481}{9}$$.

Question 8.
17$$\frac{3}{4}$$
$$\frac{71}{4}$$,

Explanation:
Given 17$$\frac{3}{4}$$ to convert to an improper fraction,
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{17 X 4 + 3}{4}$$ = $$\frac{68 + 3}{4}$$ = $$\frac{71}{4}$$.

Question 9.
3$$\frac{6}{17}$$
$$\frac{57}{17}$$,

Explanation:
Given 3$$\frac{6}{17}$$ to convert to an improper fraction,
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{3 X 17 + 6}{17}$$ = $$\frac{51 + 6}{17}$$ = $$\frac{57}{17}$$.

Question 10.
62$$\frac{3}{7}$$
$$\frac{437}{7}$$,

Explanation:
Given 62$$\frac{3}{7}$$ to convert to an improper fraction,
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{62 X 7 + 3}{7}$$ = $$\frac{434 + 3}{7}$$ = $$\frac{437}{7}$$.

Question 11.
22$$\frac{1}{2}$$
$$\frac{45}{2}$$,

Explanation:
Given 22$$\frac{1}{2}$$ to convert to an improper fraction,
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{22 X 2 + 1}{2}$$ = $$\frac{44 + 1}{2}$$ = $$\frac{45}{2}$$.

Question 12.
32$$\frac{11}{29}$$
$$\frac{939}{29}$$,

Explanation:
Given 32$$\frac{11}{29}$$ to convert to an improper fraction,
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{32 X 29 + 11}{29}$$ = $$\frac{928 + 11}{29}$$ = $$\frac{939}{29}$$.

Question 13.
27$$\frac{5}{8}$$
$$\frac{221}{8}$$,

Explanation:
Given 27$$\frac{5}{8}$$ to convert to an improper fraction,
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{27 X 8 + 5}{8}$$ = $$\frac{216 + 5}{8}$$ = $$\frac{221}{8}$$.

Question 14.
25$$\frac{1}{3}$$
$$\frac{76}{3}$$,

Explanation:
Given 25$$\frac{1}{3}$$ to convert to an improper fraction,
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{25 X 3 + 1}{3}$$ = $$\frac{75 + 1}{3}$$ = $$\frac{76}{3}$$.

Question 15.
41$$\frac{9}{14}$$
$$\frac{583}{14}$$,

Explanation:
Given 41$$\frac{9}{14}$$ to convert to an improper fraction,
1. Multiply the whole number by the denominator.
3. Write answer from Step 2 over the denominator.
So it is $$\frac{41 X 14 + 9}{14}$$ = $$\frac{574 + 9}{14}$$ = $$\frac{583}{14}$$.

Question 16.
Gene’s bucket holds $$\frac{1}{3}$$ of a pound of soil. Gene ñeeds to move 10$$\frac{2}{3}$$ pounds of topsoil to his grandmother’s garden. How many times will he need to fill his bucket if he wants to move the entire pile of topsoil to the garden?
32 times

Explanation:
Given Gene’s bucket holds $$\frac{1}{3}$$ of a pound of soil.
Gene ñeeds to move 10$$\frac{2}{3}$$ pounds of topsoil to his grandmother’s garden. So many times will he need to fill his bucket if he wants to move the entire pile of topsoil to the garden is as
10$$\frac{2}{3}$$ pounds ÷ $$\frac{1}{3}$$ pound =
$$\frac{10 X 3 + 2}{3}$$ pounds ÷ $$\frac{1}{3}$$ pound= $$\frac{32}{3}$$ pounds X 3 pound = 32 times.

Question 17.
Kayla wants to give a third of a pie to each of her 25 relatives. She has already baked 6 pies. How many more pies will she need to bake so that each relative can have a third?