Compare 45/32 and 49/20
1st number: 1 13/32, 2nd number: 2 9/20
45/32 is smaller than 49/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 20 is 160
Next, find the equivalent fraction of both fractional numbers with denominator 160 - For the 1st fraction, since 32 × 5 = 160,
45/32 = 45 × 5/32 × 5 = 225/160 - Likewise, for the 2nd fraction, since 20 × 8 = 160,
49/20 = 49 × 8/20 × 8 = 392/160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/160 < 392/160 or 45/32 < 49/20
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