Compare 30/49 and 3/96
30/49 is greater than 3/96
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,
30/49 = 30 × 96/49 × 96 = 2880/4704 - Likewise, for the 2nd fraction, since 96 × 49 = 4704,
3/96 = 3 × 49/96 × 49 = 147/4704 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2880/4704 > 147/4704 or 30/49 > 3/96
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