Compare 3/14 and 10/12
314 is smaller than 1012
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 12 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 14 × 6 = 84,
314 = 3 × 614 × 6 = 1884 - Likewise, for the 2nd fraction, since 12 × 7 = 84,
1012 = 10 × 712 × 7 = 7084 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1884 < 7084 or 314 < 1012
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