# Answers

Solutions by everydaycalculation.com

## Compare 3/5 and 8/9

3/5 is smaller than 8/9

#### Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
LCM of 5 and 9 is 45
2. For the 1st fraction, since 5 × 9 = 45,
3/5 = 3 × 9/5 × 9 = 27/45
3. Likewise, for the 2nd fraction, since 9 × 5 = 45,
8/9 = 8 × 5/9 × 5 = 40/45
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 27/45 < 40/45 or 3/5 < 8/9

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