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.