Compare 56/5 and 40/7
1st number: 11 1/5, 2nd number: 5 5/7
56/5 is greater than 40/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 7 is 35
Next, find the equivalent fraction of both fractional numbers with denominator 35 - For the 1st fraction, since 5 × 7 = 35,
56/5 = 56 × 7/5 × 7 = 392/35 - Likewise, for the 2nd fraction, since 7 × 5 = 35,
40/7 = 40 × 5/7 × 5 = 200/35 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 392/35 > 200/35 or 56/5 > 40/7
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