Compare 10/28 and 21/30
10/28 is smaller than 21/30
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,
10/28 = 10 × 15/28 × 15 = 150/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
21/30 = 21 × 14/30 × 14 = 294/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/420 < 294/420 or 10/28 < 21/30
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