Exercise 30 Page 290

In this exercise, we are given two fractions with different denominators. 5/7 ? 4/5 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.

5/7

ExpandFrac

a/b=a * 5/b * 5

5*5/7*5

Multiply

Multiply

25/35

Let's do the same for the second fraction.

4/5

ExpandFrac

a/b=a * 7/b * 7

4*7/5*7

Multiply

Multiply

28/35

Finally, we can make our comparison. Since 25 is less than 28, we know that the first value is less than the second value. 25/35 < 28/96 ⇔ 5/7 < 4/5