Compare 15/72 and 42/63
15/72 is smaller than 42/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 63 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 72 × 7 = 504,
15/72 = 15 × 7/72 × 7 = 105/504 - Likewise, for the 2nd fraction, since 63 × 8 = 504,
42/63 = 42 × 8/63 × 8 = 336/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/504 < 336/504 or 15/72 < 42/63
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