Compare 45/40 and 3/56
1st number: 1 5/40, 2nd number: 3/56
45/40 is greater than 3/56
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,
45/40 = 45 × 7/40 × 7 = 315/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
3/56 = 3 × 5/56 × 5 = 15/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/280 > 15/280 or 45/40 > 3/56
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