Compare 18/98 and 21/45
18/98 is smaller than 21/45
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,
18/98 = 18 × 45/98 × 45 = 810/4410 - Likewise, for the 2nd fraction, since 45 × 98 = 4410,
21/45 = 21 × 98/45 × 98 = 2058/4410 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 810/4410 < 2058/4410 or 18/98 < 21/45
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