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% = ____
Answer:
25%,
Explanation:
Let \(\frac{5}{12}\) X 60%, x = \(\frac{5}{12}\) × \(\frac{60}{100}\) = \(\frac{5 X 60}{12 X 100}\) = \(\frac{300}{1200}\) = \(\frac{1}{4}\) = 0.25,
To convert to percentage multiply with 100,
So, 0.25 x 100% = 25%.
Question 2.
\(\frac{3}{5}\) × 82% = ____
Answer:
49.2%,
Explanation:
Let \(\frac{3}{5}\) X 82%, \(\frac{3}{5}\) X \(\frac{82}{100}\),
\(\frac{3 X 82}{5 X 100}\), \(\frac{246}{500}\) = 0.492,
To convert to percentage multiply with 100.
So, 0.492 x 100% = 49.2%.
Question 3.
\(\frac{6}{5}\) × 55% = ____
Answer:
66%,
Explanation:
Let \(\frac{6}{5}\) X 55%, \(\frac{6}{5}\) X \(\frac{55}{100}\)
= \(\frac{6 X 55}{5 X 100}\),
\(\frac{330}{500}\) = 0.66,
To convert to percentage multiply with 100%.
So, 0.66 x 100% = 66%.
Question 4.
\(\frac{8}{25}\) × 125% = ____
Answer:
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% = ____
Answer:
20%,
Explanation:
Let \(\frac{4}{15}\) X 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 \(\frac{4}{5}\) = ____
Answer:
\(\frac{1}{5}\),
Explanation:
Let x = 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 \(\frac{5}{6}\) = ____
Answer:
\(\frac{1}{6}\),
Explanation:
Let x = 20% x \(\frac{5}{6}\) = \(\frac{20}{100}\) X \(\frac{5}{6}\) = \(\frac{20 X 5}{100 X 6}\) = \(\frac{100}{600}\) =\(\frac{1}{6}\).
Question 8.
40% of \(\frac{15}{16}\) = ____
Answer:
\(\frac{3}{8}\),
Explanation:
40% x \(\frac{15}{16}\) = \(\frac{40}{100}\) × \(\frac{15}{16}\) = \(\frac{40 X 15}{100 X 16}\) = \(\frac{600}{1,600}\),
= \(\frac{6}{16}\) = \(\frac{3}{8}\).
Question 9.
75% of \(\frac{112}{150}\) = ____
Answer:
\(\frac{14}{25}\),
Explanation:
Let x = 75% X \(\frac{112}{150}\) = \(\frac{75}{100}\) X \(\frac{112}{150}\) = \(\frac{75 X 112}{100 X 150}\) = \(\frac{8,400}{15,000}\) = \(\frac{14}{25}\).
Question 10.
60% of \(\frac{40}{75}\) = ____
Answer:
\(\frac{8}{25}\),
Explanation:
Let x = 60% X \(\frac{40}{75}\) = \(\frac{60}{100}\) X \(\frac{40}{75}\) = \(\frac{60 X 40}{100 X 75}\) = \(\frac{2,400}{7,500}\)
= \(\frac{8}{25}\).
Question 11.
\(\frac{7}{12}\) × 72% = ____
Answer:
42%,
Explanation:
Let x = \(\frac{7}{12}\) X 72% = \(\frac{7}{12}\) X \(\frac{72}{100}\) = \(\frac{7 X 72}{12 X 100}\) = \(\frac{504}{1,200}\) = 0.42,
To convert to percentage multiply with 100.
So, 0.42 x 100 = 42%.
Question 12.
\(\frac{5}{4}\) × 42% = ____
Answer:
52.5%,
Explanation:
Let x = \(\frac{5}{4}\) X 42%, \(\frac{5}{4}\) X \(\frac{42}{100}\) = \(\frac{5 X 42}{4 X 100}\) = \(\frac{210}{400}\) = 0.525,
To convert to percentage multiply with 100.
So, 0.525 x 100% = 52.5%.