Compare 40/56 and 2/15
40/56 is greater than 2/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 15 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 56 × 15 = 840,
40/56 = 40 × 15/56 × 15 = 600/840 - Likewise, for the 2nd fraction, since 15 × 56 = 840,
2/15 = 2 × 56/15 × 56 = 112/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/840 > 112/840 or 40/56 > 2/15
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