Compare 4/75 and 12/96
4/75 is smaller than 12/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 96 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 75 × 32 = 2400,
4/75 = 4 × 32/75 × 32 = 128/2400 - Likewise, for the 2nd fraction, since 96 × 25 = 2400,
12/96 = 12 × 25/96 × 25 = 300/2400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/2400 < 300/2400 or 4/75 < 12/96
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