Compare 35/40 and 84/56
1st number: 35/40, 2nd number: 1 28/56
35/40 is smaller than 84/56
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,
35/40 = 35 × 7/40 × 7 = 245/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
84/56 = 84 × 5/56 × 5 = 420/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 245/280 < 420/280 or 35/40 < 84/56
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