Compare 9/28 and 20/30
9/28 is smaller than 20/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 28 × 15 = 420,
9/28 = 9 × 15/28 × 15 = 135/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
20/30 = 20 × 14/30 × 14 = 280/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/420 < 280/420 or 9/28 < 20/30
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