Compare 21/5 and 75/12
1st number: 4 1/5, 2nd number: 6 3/12
21/5 is smaller than 75/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 12 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 5 × 12 = 60,
21/5 = 21 × 12/5 × 12 = 252/60 - Likewise, for the 2nd fraction, since 12 × 5 = 60,
75/12 = 75 × 5/12 × 5 = 375/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 252/60 < 375/60 or 21/5 < 75/12
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