Compare 49/36 and 40/24
1st number: 1 13/36, 2nd number: 1 16/24
49/36 is smaller than 40/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 24 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 36 × 2 = 72,
49/36 = 49 × 2/36 × 2 = 98/72 - Likewise, for the 2nd fraction, since 24 × 3 = 72,
40/24 = 40 × 3/24 × 3 = 120/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/72 < 120/72 or 49/36 < 40/24
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