Compare 9/2 and 15/75
1st number: 4 1/2, 2nd number: 15/75
9/2 is greater than 15/75
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,
9/2 = 9 × 75/2 × 75 = 675/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
15/75 = 15 × 2/75 × 2 = 30/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/150 > 30/150 or 9/2 > 15/75
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