Compare 8/75 and 30/98
8/75 is smaller than 30/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 98 is 7350
Next, find the equivalent fraction of both fractional numbers with denominator 7350 - For the 1st fraction, since 75 × 98 = 7350,
8/75 = 8 × 98/75 × 98 = 784/7350 - Likewise, for the 2nd fraction, since 98 × 75 = 7350,
30/98 = 30 × 75/98 × 75 = 2250/7350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 784/7350 < 2250/7350 or 8/75 < 30/98
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