Compare 30/98 and 45/75
30/98 is smaller than 45/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 75 is 7350
Next, find the equivalent fraction of both fractional numbers with denominator 7350 - For the 1st fraction, since 98 × 75 = 7350,
30/98 = 30 × 75/98 × 75 = 2250/7350 - Likewise, for the 2nd fraction, since 75 × 98 = 7350,
45/75 = 45 × 98/75 × 98 = 4410/7350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2250/7350 < 4410/7350 or 30/98 < 45/75
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