Compare 10/56 and 21/30
10/56 is smaller than 21/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 30 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 56 × 15 = 840,
10/56 = 10 × 15/56 × 15 = 150/840 - Likewise, for the 2nd fraction, since 30 × 28 = 840,
21/30 = 21 × 28/30 × 28 = 588/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/840 < 588/840 or 10/56 < 21/30
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