Compare 42/45 and 21/63
42/45 is greater than 21/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 63 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
42/45 = 42 × 7/45 × 7 = 294/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
21/63 = 21 × 5/63 × 5 = 105/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/315 > 105/315 or 42/45 > 21/63
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