Compare 20/96 and 10/36
20/96 is smaller than 10/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 36 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 96 × 3 = 288,
20/96 = 20 × 3/96 × 3 = 60/288 - Likewise, for the 2nd fraction, since 36 × 8 = 288,
10/36 = 10 × 8/36 × 8 = 80/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/288 < 80/288 or 20/96 < 10/36
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