Compare 10/27 and 6/12
10/27 is smaller than 6/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 12 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 27 × 4 = 108,
10/27 = 10 × 4/27 × 4 = 40/108 - Likewise, for the 2nd fraction, since 12 × 9 = 108,
6/12 = 6 × 9/12 × 9 = 54/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/108 < 54/108 or 10/27 < 6/12
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