Question Video: Multiplying Percentages with Mixed Numbers Mathematics • 7th Grade

Calculate 50% of 1(1/2). Give your answer as a fraction.

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Video Transcript

Calculate 50 percent of one and a half. Give your answer as a fraction.

In order to answer this question, we firstly need to convert 50 percent into a fraction. As the word “percent” means out of 100, we can convert from a percentage to a decimal by dividing by 100. 50 divided by 100 is 0.5. This is equal to five-tenths. We can then simplify this fraction by dividing the numerator and denominator by five. 50 percent is equal to one-half. Next, we need to convert 1.5 into a top heavy or improper fraction. There are two-halves in one whole one. Therefore, one and a half is equal to three-halves or three over two. We know that the word “of” in mathematics means multiply. We need to multiply one-half by three-halves.

When multiplying two fractions, we multiply the two numerators and then the two denominators separately. One multiplied by three is three, and two multiplied by two is four. We can, therefore, conclude that 50 percent of one and a half is three-quarters. We could also have shown this pictorially. We began with one and a half and wanted to calculate 50 percent or a half of this. One-half of a whole one is equal to one-half, and one-half or 50 percent of a half is a quarter. Adding a half and a quarter once again gives us a final answer of three-quarters.

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