Compare 1/75 and 40/96
1/75 is smaller than 40/96
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,
1/75 = 1 × 32/75 × 32 = 32/2400 - Likewise, for the 2nd fraction, since 96 × 25 = 2400,
40/96 = 40 × 25/96 × 25 = 1000/2400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/2400 < 1000/2400 or 1/75 < 40/96
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