Core Connections: Course 2
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2. Section 1.2
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Exercise 137 Page 60

Practice makes perfect
We want to rewrite each fraction in at least two different ways. We can do so by finding two fractions that are equivalent to the given fraction. If we multiply the numerator and the denominator of the fraction by the same whole number, we will find an equivalent fraction.

6/9 ↙ ↘ [1em] 6* 2/9* 2= 12/18 6* 3/9* 3= 18/27 There are infinitely many fractions that are equivalent to the given fraction. These are only two of them.

We want to write the given fraction in at least two distinct forms. First, we can identify two fractions that have the same value as the original fraction. By multiplying both the numerator and denominator of the fraction by a common whole number, we can generate an equivalent fraction. Let's do it!

11/12 ↙ ↘ [1em] 11* 2/12* 2= 22/24 11* 3/12* 3= 33/36 Notice that these fractions are only two out of infinitely many fractions that are equivalent to the given fraction.

We want to represent the given fraction in at least two different ways. To start, we can look for two fractions that are equivalent to the given fraction. To do this, we can multiply both the numerator and denominator of the fraction by the same whole number. Let's give it a try!

3/8 ↙ ↘ [1em] 3* 2/8* 2= 6/16 3* 3/8* 3= 9/24 There are infinitely many fractions that are equivalent to the given fraction. These are only two of them.

We want to rewrite each fraction in at least two different ways. We can start by multiplying the numerator and the denominator of the fraction by the same whole number. In this way, we can determine two ratios that are equivalent to the given fraction. Let's do it!

10/7 ↙ ↘ [1em] 10* 2/7* 2= 20/14 10* 3/7* 3= 30/21 Note that we only found two out of infinitely many equivalent fractions.