Compare 15/40 and 15/56
15/40 is greater than 15/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
15/40 = 15 × 7/40 × 7 = 105/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
15/56 = 15 × 5/56 × 5 = 75/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/280 > 75/280 or 15/40 > 15/56
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