Compare 7/4 and 32/75
1st number: 1 3/4, 2nd number: 32/75
7/4 is greater than 32/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 4 × 75 = 300,
7/4 = 7 × 75/4 × 75 = 525/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
32/75 = 32 × 4/75 × 4 = 128/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/300 > 128/300 or 7/4 > 32/75
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