Compare 49/20 and 32/9
1st number: 2 9/20, 2nd number: 3 5/9
49/20 is smaller than 32/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 9 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 20 × 9 = 180,
49/20 = 49 × 9/20 × 9 = 441/180 - Likewise, for the 2nd fraction, since 9 × 20 = 180,
32/9 = 32 × 20/9 × 20 = 640/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 441/180 < 640/180 or 49/20 < 32/9
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