Compare 7/2 and 28/75
1st number: 3 1/2, 2nd number: 28/75
7/2 is greater than 28/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 2 × 75 = 150,
7/2 = 7 × 75/2 × 75 = 525/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
28/75 = 28 × 2/75 × 2 = 56/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/150 > 56/150 or 7/2 > 28/75
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