Compare 3/21 and 4/6
3/21 is smaller than 4/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 6 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 21 × 2 = 42,
3/21 = 3 × 2/21 × 2 = 6/42 - Likewise, for the 2nd fraction, since 6 × 7 = 42,
4/6 = 4 × 7/6 × 7 = 28/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/42 < 28/42 or 3/21 < 4/6
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