Compare 10/98 and 12/36
10/98 is smaller than 12/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 36 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 98 × 18 = 1764,
10/98 = 10 × 18/98 × 18 = 180/1764 - Likewise, for the 2nd fraction, since 36 × 49 = 1764,
12/36 = 12 × 49/36 × 49 = 588/1764 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/1764 < 588/1764 or 10/98 < 12/36
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