Compare 15/32 and 30/49
15/32 is smaller than 30/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 49 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 32 × 49 = 1568,
15/32 = 15 × 49/32 × 49 = 735/1568 - Likewise, for the 2nd fraction, since 49 × 32 = 1568,
30/49 = 30 × 32/49 × 32 = 960/1568 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 735/1568 < 960/1568 or 15/32 < 30/49
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