Compare 21/4 and 32/30
1st number: 5 1/4, 2nd number: 1 2/30
21/4 is greater than 32/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 30 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 4 × 15 = 60,
21/4 = 21 × 15/4 × 15 = 315/60 - Likewise, for the 2nd fraction, since 30 × 2 = 60,
32/30 = 32 × 2/30 × 2 = 64/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/60 > 64/60 or 21/4 > 32/30
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