Glencoe Math: Course 2, Volume 1
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Glencoe Math: Course 2, Volume 1 View details
2. Compare and Order Rational Numbers
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Exercise 9 Page 275

Begin by rewriting the mixed numbers as improper fractions. How can you compare two fractions with different denominator?

1 712 < 1 58

Practice makes perfect
In this exercise, we are given two mixed numbers. 1 712 ? 1 58 First, we will rewrite these mixed numbers as improper fractions. Let's begin with 1 712.
1 712
1* 12+7/12
12+7/12
19/12
Now, let's do the same for the second number.
1 58
1* 8+5/8
8+5/8
13/8
Next, we will compare these fractions. 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.
19/12
19*8/12*8
152/96
Let's do the same for the second fraction.
13/8
13*12/8*12
156/96
Finally, we can make our comparison. Since 152 is less than 156, we know that the first value is less than the second value. 152/96 < 156/96 ⇔ 1 712 < 1 58 Let's draw it on a number line.