Compare 49/20 and 40/32
1st number: 2 9/20, 2nd number: 1 8/32
49/20 is greater than 40/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 32 is 160
Next, find the equivalent fraction of both fractional numbers with denominator 160 - For the 1st fraction, since 20 × 8 = 160,
49/20 = 49 × 8/20 × 8 = 392/160 - Likewise, for the 2nd fraction, since 32 × 5 = 160,
40/32 = 40 × 5/32 × 5 = 200/160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 392/160 > 200/160 or 49/20 > 40/32
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