Compare 5/49 and 20/32
5/49 is smaller than 20/32
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,
5/49 = 5 × 32/49 × 32 = 160/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
20/32 = 20 × 49/32 × 49 = 980/1568 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/1568 < 980/1568 or 5/49 < 20/32
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