Compare 21/84 and 21/18
1st number: 21/84, 2nd number: 1 3/18
21/84 is smaller than 21/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 18 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 18 × 14 = 252,
21/18 = 21 × 14/18 × 14 = 294/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/252 < 294/252 or 21/84 < 21/18
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