Compare 14/98 and 20/42
14/98 is smaller than 20/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 42 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 98 × 3 = 294,
14/98 = 14 × 3/98 × 3 = 42/294 - Likewise, for the 2nd fraction, since 42 × 7 = 294,
20/42 = 20 × 7/42 × 7 = 140/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/294 < 140/294 or 14/98 < 20/42
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