Compare 30/75 and 30/32
30/75 is smaller than 30/32
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,
30/75 = 30 × 32/75 × 32 = 960/2400 - Likewise, for the 2nd fraction, since 32 × 75 = 2400,
30/32 = 30 × 75/32 × 75 = 2250/2400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 960/2400 < 2250/2400 or 30/75 < 30/32
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