Compare 3/98 and 3/45
3/98 is smaller than 3/45
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,
3/98 = 3 × 45/98 × 45 = 135/4410 - Likewise, for the 2nd fraction, since 45 × 98 = 4410,
3/45 = 3 × 98/45 × 98 = 294/4410 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/4410 < 294/4410 or 3/98 < 3/45
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