Compare 6/35 and 49/56
6/35 is smaller than 49/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
6/35 = 6 × 8/35 × 8 = 48/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
49/56 = 49 × 5/56 × 5 = 245/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/280 < 245/280 or 6/35 < 49/56
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