Compare 30/2 and 75/32
1st number: 15 0/2, 2nd number: 2 11/32
30/2 is greater than 75/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 32 is 32
Next, find the equivalent fraction of both fractional numbers with denominator 32 - For the 1st fraction, since 2 × 16 = 32,
30/2 = 30 × 16/2 × 16 = 480/32 - Likewise, for the 2nd fraction, since 32 × 1 = 32,
75/32 = 75 × 1/32 × 1 = 75/32 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/32 > 75/32 or 30/2 > 75/32
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