Compare 6/7 and 15/72
6/7 is greater than 15/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 72 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 7 × 72 = 504,
6/7 = 6 × 72/7 × 72 = 432/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
15/72 = 15 × 7/72 × 7 = 105/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 432/504 > 105/504 or 6/7 > 15/72
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