Compare 8/24 and 98/75
1st number: 8/24, 2nd number: 1 23/75
8/24 is smaller than 98/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 24 × 25 = 600,
8/24 = 8 × 25/24 × 25 = 200/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
98/75 = 98 × 8/75 × 8 = 784/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/600 < 784/600 or 8/24 < 98/75
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