Concept explainers
To explain: whether to change a percent into a fraction or a decimal
Answer to Problem 27E
Solve 75% of 120 by changing the percent to a fraction and solve 31% of 120 by changing the percent to a decimal.
Explanation of Solution
Given information: the provided expressions are:
75% of 120
31% of 120
For 75% of 120, change the percent to a fraction because, 75 and 120 are composite numbers as well as divisible by 5.
Therefore, by changing 75% into a fraction and then dividing out the fraction and 120 by 5 will be easier to solve.
For 31% of 120, change the percent to a decimal because, 31 is a prime number, thus, only divisible by 1 and itself and 120 is a composite and do not have any common factors.
Therefore, by changing 31% into a decimal and then multiplying the decimal and 120 will be easier to solve.
Hence, solve 75% of 120 by changing the percent to a fraction and solve 31% of 120 by changing the percent to a decimal.
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