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Question Video: Finding Missing Data in a Pie Chart by Converting Percentages to Fractions Mathematics

The pie chart shows the results of a survey of what fruit students prefer. What fraction of students prefer oranges or peaches?

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Video Transcript

The pie chart shows the results of a survey of what fruit students prefer. What fraction of students prefer oranges or peaches?

We are told in the pie chart that 40 percent of students prefer oranges, 20 percent prefer apples, and 15 percent prefer bananas. As the sum of all our percentages must equal 100, we can begin to calculate the percentage that prefer peaches by adding 40, 20, and 15. This is equal to 75. So 75 percent of students do not prefer peaches. Subtracting this from 100 gives us 25. So 25 percent of the students prefer peaches. We want to find those students that prefer oranges or peaches. This will be equal to 40 percent plus 25 percent. 40 plus 20 is equal to 65. We can therefore conclude that 65 percent of students prefer oranges or peaches.

This is not the end of the question, however, as we were asked to give our answer as a fraction. As percentages are out of 100, this is equivalent to 65 out of or over 100. We can then simplify the fraction by dividing the numerator and denominator by five. 65 divided by five is 13, and 100 divided by five is 20. The fraction of students that prefer oranges or peaches in its simplest form is 13 over 20 or thirteen twentieths.

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