Compare 9/10 and 40/56
9/10 is greater than 40/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 10 × 28 = 280,
9/10 = 9 × 28/10 × 28 = 252/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
40/56 = 40 × 5/56 × 5 = 200/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 252/280 > 200/280 or 9/10 > 40/56
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