Compare 30/98 and 8/20
30/98 is smaller than 8/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 20 is 980
Next, find the equivalent fraction of both fractional numbers with denominator 980 - For the 1st fraction, since 98 × 10 = 980,
30/98 = 30 × 10/98 × 10 = 300/980 - Likewise, for the 2nd fraction, since 20 × 49 = 980,
8/20 = 8 × 49/20 × 49 = 392/980 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/980 < 392/980 or 30/98 < 8/20
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