Compare 7/2 and 21/63
1st number: 3 1/2, 2nd number: 21/63
7/2 is greater than 21/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 63 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 2 × 63 = 126,
7/2 = 7 × 63/2 × 63 = 441/126 - Likewise, for the 2nd fraction, since 63 × 2 = 126,
21/63 = 21 × 2/63 × 2 = 42/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 441/126 > 42/126 or 7/2 > 21/63
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