Compare 42/21 and 84/36
1st number: 2 0/21, 2nd number: 2 12/36
42/21 is smaller than 84/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 36 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 21 × 12 = 252,
42/21 = 42 × 12/21 × 12 = 504/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
84/36 = 84 × 7/36 × 7 = 588/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 504/252 < 588/252 or 42/21 < 84/36
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