Compare 20/15 and 40/28
1st number: 1 5/15, 2nd number: 1 12/28
20/15 is smaller than 40/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 15 × 28 = 420,
20/15 = 20 × 28/15 × 28 = 560/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
40/28 = 40 × 15/28 × 15 = 600/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 560/420 < 600/420 or 20/15 < 40/28
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