Compare 12/28 and 21/45
12/28 is smaller than 21/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 28 × 45 = 1260,
12/28 = 12 × 45/28 × 45 = 540/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
21/45 = 21 × 28/45 × 28 = 588/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 540/1260 < 588/1260 or 12/28 < 21/45
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