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McGraw-Hill Math Grade 7 Answer Key Lesson 15.2 Percents and Fractions
Exercises
CONVERT
Convert the fractions to a simple percentage, or state that the fraction cannot be converted to a simple percentage.
Question 1.
\(\frac{1}{2}\) = ________________
Answer:
\(\frac{1}{2}\) = ?%
\(\frac{100}{2}\) = 50
1 x 50 = 50
\(\frac{1}{2}\) = 50%
Explanation:
The given fraction can be converted into simple percentage. Here the denominator of the given fraction 2 is evenly divided into 100. Divide 100 by 2 the quotient is equal to 50. Multiply the numerator 1 with the quotient 50 the product is equal to 50. Now add the percent sign. So\(\frac{1}{2}\) is equal to 50%.
Question 2.
\(\frac{3}{20}\) = ________________
Answer:
\(\frac{3}{20}\) = ?%
\(\frac{100}{20}\) = 5
3 x 5 = 15
\(\frac{3}{20}\) = 15%
Explanation:
The given fraction can be converted into simple percentage. Here the denominator of the given fraction 20 is evenly divided into 100. Divide 100 by 20 the quotient is equal to 5. Multiply the numerator 3 with the quotient 5 the product is equal to 15. Now add the percent sign. So\(\frac{3}{20}\) is equal to 15%.
Question 3.
\(\frac{7}{15}\) = ________________
Answer:
\(\frac{7}{15}\) = ?%
\(\frac{100}{15}\) = 6.66
7 x 6.66 = 46.7
\(\frac{7}{15}\) = 46.7%
Explanation:
The given fraction cannot be converted into simple percentage. Here the denominator of the given fraction 15 is not evenly divided into 100. Divide 100 by 15 the quotient is equal to 6.66. Multiply the numerator 7 with the quotient 6.66 the product is equal to 46.7. Now add the percent sign. So\(\frac{7}{15}\) is equal to 46.7%.
Question 4.
\(\frac{3}{10}\) = ________________
Answer:
\(\frac{3}{10}\) = ?%
\(\frac{100}{10}\) = 10
3 x 10= 30
\(\frac{3}{10}\) = 30%
Explanation:
The given fraction can be converted into simple percentage. Here the denominator of the given fraction 10 is evenly divided into 100. Divide 100 by 10 the quotient is equal to 10. Multiply the numerator 3 with the quotient 10 the product is equal to 30. Now add the percent sign. So\(\frac{3}{10}\) is equal to 30%.
Question 5.
\(\frac{2}{3}\) = ________________
Answer:
\(\frac{2}{3}\) = ?%
\(\frac{100}{3}\) = 33.3
2 x 33.3 = 66.6
\(\frac{2}{3}\) = 66.6%
Explanation:
The given fraction cannot be converted into simple percentage. Here the denominator of the given fraction 3 is not evenly divided into 100. Divide 100 by 3 the quotient is equal to 33.3. Multiply the numerator 2 with the quotient 33.3. the product is equal to 66.6. Now add the percent sign. So\(\frac{2}{3}\) is equal to 66.6%.
Question 6.
\(\frac{3}{4}\) = ________________
Answer:
\(\frac{3}{4}\) = ?%
\(\frac{100}{4}\) = 25
3 x 25 = 75
\(\frac{3}{4}\) = 75%
Explanation:
The given fraction can be converted into simple percentage. Here the denominator of the given fraction 4 is evenly divided into 100. Divide 100 by 4 the quotient is equal to 25. Multiply the numerator 3 with the quotient 25 the product is equal to 75. Now add the percent sign. So\(\frac{3}{4}\) is equal to 75%.
Question 7.
\(\frac{6}{11}\) = ________________
Answer:
\(\frac{6}{11}\) = ?%
\(\frac{100}{11}\) = 9.09
6 x 9.09 = 54.5
\(\frac{6}{11}\) = 54.5%
Explanation:
The given fraction cannot be converted into simple percentage. Here the denominator of the given fraction 11 is not evenly divided into 100. Divide 100 by 11 the quotient is equal to 9.09. Multiply the numerator 6 with the quotient 9.09 the product is equal to 54.5. Now add the percent sign. So\(\frac{6}{11}\) is equal to 54.5%.
Question 8.
1 = ________________
Answer:
\(\frac{1}{1}\) = ?%
\(\frac{100}{1}\) = 100
1 x 100 = 100
\(\frac{1}{1}\) = 100%
Explanation:
The given fraction can be converted into simple percentage. Here the denominator of the given fraction 1 is evenly divided into 100. Divide 100 by 1 the quotient is equal to 100. Multiply the numerator 1 with the quotient 100 the product is equal to 100. Now add the percent sign. So\(\frac{1}{1}\) is equal to 100%.
Question 9.
\(\frac{1}{32}\) = ________________
Answer:
\(\frac{1}{32}\) = ?%
\(\frac{100}{32}\) = 3.1
1 x 3.1 = 3.1
\(\frac{1}{32}\) = 3.1%
Explanation:
The given fraction cannot be converted into simple percentage. Here the denominator of the given fraction 32 is not evenly divided into 100. Divide 100 by 32 the quotient is equal to 3.1. Multiply the numerator 1 with the quotient 3.1 the product is equal to 3.1. Now add the percent sign. So\(\frac{1}{32}\) is equal to 3.1%.
Question 10.
\(\frac{4}{25}\) = ________________
Answer:
\(\frac{4}{25}\) = ?%
\(\frac{100}{25}\) = 4
4 x 4 = 16
\(\frac{4}{25}\) = 16%
Explanation:
The given fraction can be converted into simple percentage. Here the denominator of the given fraction 25 is evenly divided into 100. Divide 100 by 25 the quotient is equal to 4. Multiply the numerator 4 with the quotient 4 the product is equal to 16. Now add the percent sign. So\(\frac{4}{25}\) is equal to 16%.
Question 11.
\(\frac{19}{50}\) = ________________
Answer:
\(\frac{19}{50}\) = ?%
\(\frac{100}{50}\) = 2
19 x 2 = 38
\(\frac{19}{50}\) = 38%
Explanation:
The given fraction can be converted into simple percentage. Here the denominator of the given fraction 50 is evenly divided into 100. Divide 100 by 50 the quotient is equal to 2. Multiply the numerator 19 with the quotient 2 the product is equal to 38. Now add the percent sign. So\(\frac{19}{50}\) is equal to 38%.
Question 12.
\(\frac{3}{50}\) = ________________
Answer:
\(\frac{3}{50}\) = ?%
\(\frac{100}{50}\) = 2
3 x 2 = 6
\(\frac{3}{50}\) = 6%
Explanation:
The given fraction can be converted into simple percentage. Here the denominator of the given fraction 50 is evenly divided into 100. Divide 100 by 50 the quotient is equal to 2. Multiply the numerator 3 with the quotient 2 the product is equal to 6. Now add the percent sign. So\(\frac{3}{50}\) is equal to 6%.
Question 13.
\(\frac{14}{10}\) = ________________
Answer:
\(\frac{14}{10}\) = ?%
\(\frac{100}{10}\) = 10
14 x 10 = 140
\(\frac{14}{10}\) = 140%
Explanation:
The given fraction can be converted into simple percentage. Here the denominator of the given fraction 10 is evenly divided into 100. Divide 100 by 10 the quotient is equal to 10. Multiply the numerator 14 with the quotient 10 the product is equal to 140. Now add the percent sign. So\(\frac{14}{10}\) is equal to 140%.
Question 14.
\(\frac{11}{20}\) = ________________
Answer:
\(\frac{11}{20}\) = ?%
\(\frac{100}{20}\) = 5
11 x 5 = 55
\(\frac{11}{20}\) = 55%
Explanation:
The given fraction can be converted into simple percentage. Here the denominator of the given fraction 20 is evenly divided into 100. Divide 100 by 20 the quotient is equal to 5. Multiply the numerator 11 with the quotient 5 the product is equal to 55. Now add the percent sign. So\(\frac{11}{20}\) is equal to 55%.
Question 15.
\(\frac{3}{25}\) = ________________
Answer:
\(\frac{3}{25}\) = ?%
\(\frac{100}{25}\) = 4
3 x 4 = 12
\(\frac{3}{25}\) = 12%
Explanation:
The given fraction can be converted into simple percentage. Here the denominator of the given fraction 25 is evenly divided into 100. Divide 100 by 25 the quotient is equal to 4. Multiply the numerator 3 with the quotient 4 the product is equal to 12. Now add the percent sign. So\(\frac{3}{25}\) is equal to 12%.
Question 16.
\(\frac{4}{9}\) = ________________
Answer:
\(\frac{4}{9}\) = ?%
\(\frac{100}{9}\) = 11.11
4 x 11.11 = 44.4
\(\frac{4}{9}\) = 44.4%
Explanation:
The given fraction cannot be converted into simple percentage. Here the denominator of the given fraction 9 is not evenly divided into 100. Divide 100 by 9 the quotient is equal to 11.11. Multiply the numerator 4 with the quotient 11.11 the product is equal to 44.4. Now add the percent sign. So\(\frac{4}{9}\) is equal to 44.4%.
Question 17.
\(\frac{7}{20}\) = ________________
Answer:
\(\frac{7}{20}\) = ?%
\(\frac{100}{20}\) = 5
7 x 5 = 35
\(\frac{7}{20}\) = 35%
Explanation:
The given fraction can be converted into simple percentage. Here the denominator of the given fraction 20 is evenly divided into 100. Divide 100 by 20 the quotient is equal to 5. Multiply the numerator 7 with the quotient 5 the product is equal to 35. Now add the percent sign. So\(\frac{7}{20}\) is equal to 35%.
Question 18.
200 = ______________
Answer:
\(\frac{200}{1}\) = ?%
\(\frac{100}{1}\) = 100
200 x 100 = 20000
\(\frac{200}{1}\) = 20000%
Explanation:
The given fraction can be converted into simple percentage. Here the denominator of the given fraction 1 is evenly divided into 100. Divide 100 by 1 the quotient is equal to 100. Multiply the numerator 200 with the quotient 100 the product is equal to 20000. Now add the percent sign. So\(\frac{200}{1}\) is equal to 20000%.