Compare 9/98 and 30/90
9/98 is smaller than 30/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 90 is 4410
Next, find the equivalent fraction of both fractional numbers with denominator 4410 - For the 1st fraction, since 98 × 45 = 4410,
9/98 = 9 × 45/98 × 45 = 405/4410 - Likewise, for the 2nd fraction, since 90 × 49 = 4410,
30/90 = 30 × 49/90 × 49 = 1470/4410 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 405/4410 < 1470/4410 or 9/98 < 30/90
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