Compare 75/32 and 32/98
1st number: 2 11/32, 2nd number: 32/98
75/32 is greater than 32/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 98 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 32 × 49 = 1568,
75/32 = 75 × 49/32 × 49 = 3675/1568 - Likewise, for the 2nd fraction, since 98 × 16 = 1568,
32/98 = 32 × 16/98 × 16 = 512/1568 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3675/1568 > 512/1568 or 75/32 > 32/98
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