Compare 1/56 and 10/21
1/56 is smaller than 10/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 56 × 3 = 168,
1/56 = 1 × 3/56 × 3 = 3/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
10/21 = 10 × 8/21 × 8 = 80/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3/168 < 80/168 or 1/56 < 10/21
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