Compare 75/96 and 8/49
75/96 is greater than 8/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 49 is 4704
Next, find the equivalent fraction of both fractional numbers with denominator 4704 - For the 1st fraction, since 96 × 49 = 4704,
75/96 = 75 × 49/96 × 49 = 3675/4704 - Likewise, for the 2nd fraction, since 49 × 96 = 4704,
8/49 = 8 × 96/49 × 96 = 768/4704 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3675/4704 > 768/4704 or 75/96 > 8/49
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