Compare 9/98 and 21/5
1st number: 9/98, 2nd number: 4 1/5
9/98 is smaller than 21/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 5 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 98 × 5 = 490,
9/98 = 9 × 5/98 × 5 = 45/490 - Likewise, for the 2nd fraction, since 5 × 98 = 490,
21/5 = 21 × 98/5 × 98 = 2058/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/490 < 2058/490 or 9/98 < 21/5
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