Compare 40/56 and 7/18
40/56 is greater than 7/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 18 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 56 × 9 = 504,
40/56 = 40 × 9/56 × 9 = 360/504 - Likewise, for the 2nd fraction, since 18 × 28 = 504,
7/18 = 7 × 28/18 × 28 = 196/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/504 > 196/504 or 40/56 > 7/18
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