Compare 60/40 and 30/56
1st number: 1 20/40, 2nd number: 30/56
60/40 is greater than 30/56
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,
60/40 = 60 × 7/40 × 7 = 420/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
30/56 = 30 × 5/56 × 5 = 150/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 420/280 > 150/280 or 60/40 > 30/56
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