Compare 42/63 and 15/75
42/63 is greater than 15/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 75 is 1575
Next, find the equivalent fraction of both fractional numbers with denominator 1575 - For the 1st fraction, since 63 × 25 = 1575,
42/63 = 42 × 25/63 × 25 = 1050/1575 - Likewise, for the 2nd fraction, since 75 × 21 = 1575,
15/75 = 15 × 21/75 × 21 = 315/1575 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1050/1575 > 315/1575 or 42/63 > 15/75
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