Compare 18/9 and 98/75
1st number: 2 0/9, 2nd number: 1 23/75
18/9 is greater than 98/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 75 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 9 × 25 = 225,
18/9 = 18 × 25/9 × 25 = 450/225 - Likewise, for the 2nd fraction, since 75 × 3 = 225,
98/75 = 98 × 3/75 × 3 = 294/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/225 > 294/225 or 18/9 > 98/75
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