Compare 6/10 and 40/96
6/10 is greater than 40/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 96 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 10 × 48 = 480,
6/10 = 6 × 48/10 × 48 = 288/480 - Likewise, for the 2nd fraction, since 96 × 5 = 480,
40/96 = 40 × 5/96 × 5 = 200/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/480 > 200/480 or 6/10 > 40/96
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