Compare 30/98 and 14/45
30/98 is smaller than 14/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 45 is 4410
Next, find the equivalent fraction of both fractional numbers with denominator 4410 - For the 1st fraction, since 98 × 45 = 4410,
30/98 = 30 × 45/98 × 45 = 1350/4410 - Likewise, for the 2nd fraction, since 45 × 98 = 4410,
14/45 = 14 × 98/45 × 98 = 1372/4410 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1350/4410 < 1372/4410 or 30/98 < 14/45
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