Exercise 31 Page 290

In this exercise, we are given two fractions with different denominators. 6/11 ? 9/14 To compare fractions with different denominators, we should first find a common denominator. Since neither of the denominators is a factor of another, we will multiply the numerator and denominator of each fraction by the denominator of other. This will give us a common denominator.

6/11

ExpandFrac

a/b=a * 14/b * 14

6*14/11*14

Multiply

Multiply

84/154

Let's do the same for the second fraction.

9/14

ExpandFrac

a/b=a * 11/b * 11

9*11/5*11

Multiply

Multiply

99/154

Finally, we can make our comparison. Since 84 is less than 99, we know that the first value is less than the second value. 84/154 < 99/154 ⇔ 6/11 < 9/14