Compare 30/32 and 36/75
30/32 is greater than 36/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 75 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 32 × 75 = 2400,
30/32 = 30 × 75/32 × 75 = 2250/2400 - Likewise, for the 2nd fraction, since 75 × 32 = 2400,
36/75 = 36 × 32/75 × 32 = 1152/2400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2250/2400 > 1152/2400 or 30/32 > 36/75
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