Compare 12/75 and 7/32
12/75 is smaller than 7/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 32 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 75 × 32 = 2400,
12/75 = 12 × 32/75 × 32 = 384/2400 - Likewise, for the 2nd fraction, since 32 × 75 = 2400,
7/32 = 7 × 75/32 × 75 = 525/2400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 384/2400 < 525/2400 or 12/75 < 7/32
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