Compare 10/35 and 10/56
10/35 is greater than 10/56
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,
10/35 = 10 × 8/35 × 8 = 80/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
10/56 = 10 × 5/56 × 5 = 50/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/280 > 50/280 or 10/35 > 10/56
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