Compare 6/49 and 21/32
6/49 is smaller than 21/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 32 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 49 × 32 = 1568,
6/49 = 6 × 32/49 × 32 = 192/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
21/32 = 21 × 49/32 × 49 = 1029/1568 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 192/1568 < 1029/1568 or 6/49 < 21/32
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