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