Compare 6/7 and 27/60
6/7 is greater than 27/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 60 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 7 × 60 = 420,
6/7 = 6 × 60/7 × 60 = 360/420 - Likewise, for the 2nd fraction, since 60 × 7 = 420,
27/60 = 27 × 7/60 × 7 = 189/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/420 > 189/420 or 6/7 > 27/60
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