Compare 30/96 and 6/49
30/96 is greater than 6/49
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,
30/96 = 30 × 49/96 × 49 = 1470/4704 - Likewise, for the 2nd fraction, since 49 × 96 = 4704,
6/49 = 6 × 96/49 × 96 = 576/4704 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1470/4704 > 576/4704 or 30/96 > 6/49
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