Compare 49/48 and 40/56
1st number: 1 1/48, 2nd number: 40/56
49/48 is greater than 40/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 56 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 48 × 7 = 336,
49/48 = 49 × 7/48 × 7 = 343/336 - Likewise, for the 2nd fraction, since 56 × 6 = 336,
40/56 = 40 × 6/56 × 6 = 240/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/336 > 240/336 or 49/48 > 40/56
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