Compare 30/70 and 21/36
30/70 is smaller than 21/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 36 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 70 × 18 = 1260,
30/70 = 30 × 18/70 × 18 = 540/1260 - Likewise, for the 2nd fraction, since 36 × 35 = 1260,
21/36 = 21 × 35/36 × 35 = 735/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 540/1260 < 735/1260 or 30/70 < 21/36
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