Compare 30/63 and 49/72
30/63 is smaller than 49/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 72 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 63 × 8 = 504,
30/63 = 30 × 8/63 × 8 = 240/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
49/72 = 49 × 7/72 × 7 = 343/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/504 < 343/504 or 30/63 < 49/72
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