Compare 21/75 and 42/70
21/75 is smaller than 42/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 70 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
21/75 = 21 × 14/75 × 14 = 294/1050 - Likewise, for the 2nd fraction, since 70 × 15 = 1050,
42/70 = 42 × 15/70 × 15 = 630/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/1050 < 630/1050 or 21/75 < 42/70
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