Compare 21/84 and 7/9
21/84 is smaller than 7/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
21/84 = 21 × 3/84 × 3 = 63/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
7/9 = 7 × 28/9 × 28 = 196/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/252 < 196/252 or 21/84 < 7/9
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