Compare 36/96 and 30/75
36/96 is smaller than 30/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 75 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 96 × 25 = 2400,
36/96 = 36 × 25/96 × 25 = 900/2400 - Likewise, for the 2nd fraction, since 75 × 32 = 2400,
30/75 = 30 × 32/75 × 32 = 960/2400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 900/2400 < 960/2400 or 36/96 < 30/75
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