Compare 40/49 and 10/27
40/49 is greater than 10/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 49 × 27 = 1323,
40/49 = 40 × 27/49 × 27 = 1080/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
10/27 = 10 × 49/27 × 49 = 490/1323 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1080/1323 > 490/1323 or 40/49 > 10/27
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