Compare 21/14 and 75/12
1st number: 1 7/14, 2nd number: 6 3/12
21/14 is smaller than 75/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 12 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 14 × 6 = 84,
21/14 = 21 × 6/14 × 6 = 126/84 - Likewise, for the 2nd fraction, since 12 × 7 = 84,
75/12 = 75 × 7/12 × 7 = 525/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/84 < 525/84 or 21/14 < 75/12
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