Question

Compare the following fractions by first creating equivalent fractions with the same denominator.

Write the equivalent fractions with the same denominator
A. 3/7 ____ 2/5
B. -9/20 _____-4/9

Answer 1

To compare fractions, equivalent fractions with the same denominator are found.

Step-by-step explanation:

The problem asks us to compare two sets of fractions by first finding equivalent fractions with the same denominator for each set:

1. 3/7 with 2/5
2. -9/20 with -4/9

To find equivalent fractions, we look for a common denominator. For 3/7 and 2/5, the lowest common denominator is 35. Multiplying both the numerator and the denominator of 3/7 by 5 gives us an equivalent fraction of 15/35, and multiplying both the numerator and the denominator of 2/5 by 7 gives us 14/35. So, 3/7 is greater than 2/5.

For -9/20 and -4/9, the lowest common denominator is 180. Multiplying both the numerator and the denominator of -9/20 by 9 gives us -81/180, and multiplying both the numerator and denominator of -4/9 by 20 gives us -80/180. Thus, -9/20 is less than -4/9.