Compare 12/14 and 40/48
12/14 is greater than 40/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 48 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 14 × 24 = 336,
12/14 = 12 × 24/14 × 24 = 288/336 - Likewise, for the 2nd fraction, since 48 × 7 = 336,
40/48 = 40 × 7/48 × 7 = 280/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/336 > 280/336 or 12/14 > 40/48
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