Compare 40/49 and 12/32
40/49 is greater than 12/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 32 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 49 × 32 = 1568,
40/49 = 40 × 32/49 × 32 = 1280/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
12/32 = 12 × 49/32 × 49 = 588/1568 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1280/1568 > 588/1568 or 40/49 > 12/32
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