Compare 8/98 and 1/10
8/98 is smaller than 1/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 10 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 98 × 5 = 490,
8/98 = 8 × 5/98 × 5 = 40/490 - Likewise, for the 2nd fraction, since 10 × 49 = 490,
1/10 = 1 × 49/10 × 49 = 49/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/490 < 49/490 or 8/98 < 1/10
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