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McGraw-Hill Math Grade 7 Answer Key Lesson 15.4 Multiplying Percents and Fractions
Exercises
MULTIPLY
Question 1.
\(\frac{1}{2}\) of 40% = _________________
Answer:
40% = \(\frac{40}{100}\)
\(\frac{1}{2}\) x \(\frac{40}{100}\)
= \(\frac{40}{200}\)
= \(\frac{20}{100}\)
= 20%
Here we are multiplying a fraction by a percentage. So, the product will be a percentage form. So, \(\frac{1}{2}\) of 40% is equal to 20%.
Question 2.
\(\frac{2}{3}\) of 60% = _________________
Answer:
60% = \(\frac{60}{100}\)
\(\frac{2}{3}\) x \(\frac{60}{100}\)
= \(\frac{120}{300}\)
= \(\frac{40}{100}\)
= 40%
Here we are multiplying a fraction by a percentage. So, the product will be a percentage form. So, \(\frac{2}{3}\) of 60% is equal to 40%.
Question 3.
50% of 18 = _______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
50% = \(\frac{50}{100}\) = \(\frac{1}{2}\)
Multiply \(\frac{1}{2}\) with 18 the product is equal to 9.
\(\frac{1}{2}\) x 18 = 9
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 50% of 18 is equal to 9.
Question 4.
12% of 400 = _______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
12% = \(\frac{12}{100}\) = \(\frac{3}{25}\)
Multiply \(\frac{3}{25}\) with 400 the product is equal to 48.
\(\frac{3}{25}\) x 400 = 48
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 12% of 400 is equal to 48.
Question 5.
\(\frac{1}{4}\) of 8% = _________________
Answer:
8% = \(\frac{8}{100}\)
\(\frac{1}{4}\) x \(\frac{8}{100}\)
= \(\frac{8}{400}\)
= \(\frac{2}{100}\)
= 2%
Here we are multiplying a fraction by a percentage. So, the product will be a percentage form. So, \(\frac{1}{4}\) of 8% is equal to 2%.
Question 6.
20% of 75 = ______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
20% = \(\frac{20}{100}\) = \(\frac{1}{5}\)
Multiply \(\frac{1}{5}\) with 75 the product is equal to 15.
\(\frac{1}{5}\) x 75 = 15
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 20% of 75 is equal to 15.
Question 7.
39% of 300 = ______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
39% = \(\frac{39}{100}\)
Multiply \(\frac{39}{100}\) with 300 the product is equal to 117.
\(\frac{39}{100}\) x 300 = 117
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 39% of 300 is equal to 117.
Question 8.
\(\frac{1}{9}\) of 45% = _________________
Answer:
45% = \(\frac{45}{100}\)
\(\frac{1}{9}\) x \(\frac{45}{100}\)
= \(\frac{45}{900}\)
= \(\frac{5}{100}\)
= 5%
Here we are multiplying a fraction by a percentage. So, the product will be a percentage form. So, \(\frac{1}{9}\) of 45% is equal to 5%.
Question 9.
\(\frac{1}{3}\) of 90% = _________________
Answer:
90% = \(\frac{90}{100}\)
\(\frac{1}{3}\) x \(\frac{90}{100}\)
= \(\frac{90}{300}\)
= \(\frac{30}{100}\)
= 30%
Here we are multiplying a fraction by a percentage. So, the product will be a percentage form. So, \(\frac{1}{3}\) of 90% is equal to 30%.
Question 10.
25% of 60 = _______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
25% = \(\frac{25}{100}\) = \(\frac{1}{4}\)
Multiply \(\frac{1}{4}\) with 60 the product is equal to 15.
\(\frac{1}{4}\) x 60 = 15
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 25% of 60 is equal to 15.
Question 11.
\(\frac{1}{3}\) of 27% = _________________
Answer:
27% = \(\frac{27}{100}\)
\(\frac{1}{3}\) x \(\frac{27}{100}\)
= \(\frac{27}{300}\)
= \(\frac{9}{100}\)
= 9%
Here we are multiplying a fraction by a percentage. So, the product will be a percentage form. So, \(\frac{1}{3}\) of 27% is equal to 9%.
Question 12.
18% of 50 = ______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
18% = \(\frac{18}{100}\) = \(\frac{9}{50}\)
Multiply \(\frac{9}{50}\) with 50 the product is equal to 9.
\(\frac{9}{50}\) x 50= 9
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 18% of 50 is equal to 9.
Question 13.
120% of 35 = ______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
120% = \(\frac{120}{100}\) = \(\frac{6}{5}\)
Multiply \(\frac{6}{5}\) with 35 the product is equal to 42.
\(\frac{6}{5}\) x 35 = 42
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 120% of 35 is equal to 42.
Question 14.
100% of 37 = _______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
100% = \(\frac{100}{100}\) = 1
Multiply 1 with 37 the product is equal to 37.
1 x 37 = 37
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 100% of 37 is equal to 37.
Question 15.
\(\frac{1}{4}\) of 36% = _________________
Answer:
36% = \(\frac{36}{100}\)
\(\frac{1}{4}\) x \(\frac{36}{100}\)
= \(\frac{36}{400}\)
= \(\frac{9}{100}\)
= 9%
Here we are multiplying a fraction by a percentage. So, the product will be a percentage form. So, \(\frac{1}{4}\) of 36% is equal to 9%.