Compare 49/48 and 40/7
1st number: 1 1/48, 2nd number: 5 5/7
49/48 is smaller than 40/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 7 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 7 × 48 = 336,
40/7 = 40 × 48/7 × 48 = 1920/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/336 < 1920/336 or 49/48 < 40/7
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