Compare 10/49 and 42/96
10/49 is smaller than 42/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 96 is 4704
Next, find the equivalent fraction of both fractional numbers with denominator 4704 - For the 1st fraction, since 49 × 96 = 4704,
10/49 = 10 × 96/49 × 96 = 960/4704 - Likewise, for the 2nd fraction, since 96 × 49 = 4704,
42/96 = 42 × 49/96 × 49 = 2058/4704 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 960/4704 < 2058/4704 or 10/49 < 42/96
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