Compare 49/48 and 40/18
1st number: 1 1/48, 2nd number: 2 4/18
49/48 is smaller than 40/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 18 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 48 × 3 = 144,
49/48 = 49 × 3/48 × 3 = 147/144 - Likewise, for the 2nd fraction, since 18 × 8 = 144,
40/18 = 40 × 8/18 × 8 = 320/144 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/144 < 320/144 or 49/48 < 40/18
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