Compare 10/18 and 40/56
10/18 is smaller than 40/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 18 × 28 = 504,
10/18 = 10 × 28/18 × 28 = 280/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
40/56 = 40 × 9/56 × 9 = 360/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/504 < 360/504 or 10/18 < 40/56
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