Compare 3/42 and 21/70
3/42 is smaller than 21/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 70 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
3/42 = 3 × 5/42 × 5 = 15/210 - Likewise, for the 2nd fraction, since 70 × 3 = 210,
21/70 = 21 × 3/70 × 3 = 63/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/210 < 63/210 or 3/42 < 21/70
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