Compare 5/8 and 40/96
5/8 is greater than 40/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 96 is 96
Next, find the equivalent fraction of both fractional numbers with denominator 96 - For the 1st fraction, since 8 × 12 = 96,
5/8 = 5 × 12/8 × 12 = 60/96 - Likewise, for the 2nd fraction, since 96 × 1 = 96,
40/96 = 40 × 1/96 × 1 = 40/96 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/96 > 40/96 or 5/8 > 40/96
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