Compare 27/72 and 6/7
27/72 is smaller than 6/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 7 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 72 × 7 = 504,
27/72 = 27 × 7/72 × 7 = 189/504 - Likewise, for the 2nd fraction, since 7 × 72 = 504,
6/7 = 6 × 72/7 × 72 = 432/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/504 < 432/504 or 27/72 < 6/7
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