Compare 14/35 and 9/56
14/35 is greater than 9/56
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,
14/35 = 14 × 8/35 × 8 = 112/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
9/56 = 9 × 5/56 × 5 = 45/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/280 > 45/280 or 14/35 > 9/56
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