# McGraw Hill Math Grade 8 Lesson 6.7 Answer Key Multiplying Percents and Fractions

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 6.7 Multiplying Percents and Fractions to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 8 Answer Key Lesson 6.7 Multiplying Percents and Fractions

Exercises Calculate

Question 1.
$$\frac{5}{12}$$ × 60% = ____
25%,

Explanation:
$$\frac{5}{12}$$ × 60%
= $$\frac{5}{12}$$ × $$\frac{60}{100}$$
= $$\frac{5 X 60}{12 X 100}$$
= $$\frac{300}{1200}$$
= $$\frac{1}{4}$$ = 0.25
To convert to percentage multiply with 100.
So, 0.25 x 100 = 25%

Question 2.
$$\frac{3}{5}$$ × 82% = ____
49.2%,

Explanation:
$$\frac{3}{5}$$ × 82%
= $$\frac{3}{5}$$ × $$\frac{82}{100}$$
= $$\frac{3 X 82}{5 X 100}$$
= $$\frac{246}{500}$$ = 0.492
To convert to percentage multiply with 100.
So, 0.492 x 100 = 49.2%

Question 3.
$$\frac{6}{5}$$ × 55% = ____
66%,

Explanation:
$$\frac{6}{5}$$ × 55%
= $$\frac{6}{5}$$ × $$\frac{55}{100}$$
= $$\frac{6 X 55}{5 X 100}$$
= $$\frac{330}{500}$$ = 0.66
To convert to percentage multiply with 100.
So, 0.66 x 100 = 66%

Question 4.
$$\frac{8}{25}$$ × 125% = ____
40%,

Explanation:
$$\frac{8}{25}$$ × 125%
= $$\frac{8}{25}$$ × $$\frac{125}{100}$$
= $$\frac{8 X 125}{25 X 100}$$
= $$\frac{1000}{2500}$$ = 0.4
To convert to percentage multiply with 100.
So, 0.4 x 100 = 40%

Question 5.
$$\frac{4}{15}$$ × 75% = ____
20%,

Explanation:
$$\frac{4}{15}$$ × 75%
= $$\frac{4}{15}$$ × $$\frac{75}{100}$$
= $$\frac{4 X 75}{15 X 100}$$
= $$\frac{300}{1500}$$ = 0.2
To convert to percentage multiply with 100.
So, 0.2 x 100 = 20%

Question 6.
25% of $$\frac{4}{5}$$ = ____
$$\frac{1}{5}$$

Explanation:
25% x $$\frac{4}{5}$$
= $$\frac{25}{100}$$ × $$\frac{4}{5}$$
= $$\frac{25 X 4}{100 x 5}$$
= $$\frac{100}{500}$$
= $$\frac{1}{5}$$

Question 7.
20% of $$\frac{5}{6}$$ = ____
$$\frac{1}{6}$$

Explanation:
20% x $$\frac{5}{6}$$
= $$\frac{20}{100}$$ × $$\frac{5}{6}$$
= $$\frac{20 X 5}{100 X 6}$$
= $$\frac{100}{600}$$
= $$\frac{1}{6}$$

Question 8.
40% of $$\frac{15}{16}$$ = ____
$$\frac{3}{8}$$

Explanation:
40% x $$\frac{15}{16}$$
= $$\frac{40}{100}$$ × $$\frac{15}{16}$$
= $$\frac{40 X 15}{100 X 16}$$
= $$\frac{600}{1600}$$
= $$\frac{6}{16}$$
= $$\frac{3}{8}$$

Question 9.
75% of $$\frac{112}{150}$$ = ____
$$\frac{14}{25}$$

Explanation:
75% x $$\frac{112}{150}$$
= $$\frac{75}{100}$$ × $$\frac{112}{150}$$
= $$\frac{75 X 112}{100 X 150}$$
= $$\frac{8400}{15000}$$
= $$\frac{14}{25}$$

Question 10.
60% of $$\frac{40}{75}$$ = ____
$$\frac{8}{25}$$

Explanation:
60% x $$\frac{40}{75}$$
= $$\frac{60}{100}$$ × $$\frac{40}{75}$$
= $$\frac{60 X 40}{100 X 75}$$
= $$\frac{2400}{7500}$$
= $$\frac{8}{25}$$

Question 11.
$$\frac{7}{12}$$ × 72% = ____
42%

Explanation:
$$\frac{7}{12}$$ × 72%
= $$\frac{7}{12}$$ × $$\frac{72}{100}$$
= $$\frac{7 X 72}{12 X 100}$$
= $$\frac{504}{1200}$$ = 0.42
To convert to percentage multiply with 100.
So, 0.42 x 100 = 42%

Question 12.
$$\frac{5}{4}$$ × 42% = ____
$$\frac{5}{4}$$ × 42%
= $$\frac{5}{4}$$ × $$\frac{42}{100}$$
= $$\frac{5 X 42}{4 X 100}$$
= $$\frac{210}{400}$$ = 0.525