Compare 36/96 and 3/10
36/96 is greater than 3/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 10 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 96 × 5 = 480,
36/96 = 36 × 5/96 × 5 = 180/480 - Likewise, for the 2nd fraction, since 10 × 48 = 480,
3/10 = 3 × 48/10 × 48 = 144/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/480 > 144/480 or 36/96 > 3/10
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