Compare 3/21 and 56/75
3/21 is smaller than 56/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 75 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 21 × 25 = 525,
3/21 = 3 × 25/21 × 25 = 75/525 - Likewise, for the 2nd fraction, since 75 × 7 = 525,
56/75 = 56 × 7/75 × 7 = 392/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 75/525 < 392/525 or 3/21 < 56/75
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