Compare 9/4 and 28/75
1st number: 2 1/4, 2nd number: 28/75
9/4 is greater than 28/75
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,
9/4 = 9 × 75/4 × 75 = 675/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
28/75 = 28 × 4/75 × 4 = 112/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/300 > 112/300 or 9/4 > 28/75
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