Video: Reading Data from a Frequency Table Involving Fractions

The table shows the sports played by 44 students. What fraction of the students played football?

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Video Transcript

The table shows the sports played by 44 students. What fraction of the students played football?

Fractions represent the part to the whole. For us, the part equals the students who play football. And the whole are all the students that play any of these three sports.

For our numerator, we need the number of students who play football. 22 students play football. And for the denominator, we need the total of all three sports. 22 for football plus 11 for basketball plus 11 for tennis equals 44. Our fraction then becomes 22 over 44.

Then we ask the question, “Can we simplify this fraction? Can it be reduced in any way? Is there something that 22 and 44 is divisible by?” 44 is a multiple of 22. And that means both the numerator and the denominator can be divided by 22. 22 divided by 22 equals one. 44 divided by 22 equals two. When we simplify the fraction 22 over 44, we get one-half. The fraction of students who played football is one-half.

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