Compare 49/16 and 40/24
1st number: 3 1/16, 2nd number: 1 16/24
49/16 is greater than 40/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 24 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 16 × 3 = 48,
49/16 = 49 × 3/16 × 3 = 147/48 - Likewise, for the 2nd fraction, since 24 × 2 = 48,
40/24 = 40 × 2/24 × 2 = 80/48 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/48 > 80/48 or 49/16 > 40/24
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