Compare 30/84 and 21/24
30/84 is smaller than 21/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 84 × 2 = 168,
30/84 = 30 × 2/84 × 2 = 60/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
21/24 = 21 × 7/24 × 7 = 147/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/168 < 147/168 or 30/84 < 21/24
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