Compare 40/81 and 1/48
40/81 is greater than 1/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 48 is 1296
Next, find the equivalent fraction of both fractional numbers with denominator 1296 - For the 1st fraction, since 81 × 16 = 1296,
40/81 = 40 × 16/81 × 16 = 640/1296 - Likewise, for the 2nd fraction, since 48 × 27 = 1296,
1/48 = 1 × 27/48 × 27 = 27/1296 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/1296 > 27/1296 or 40/81 > 1/48
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