Compare 1/42 and 9/98
1/42 is smaller than 9/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 98 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
1/42 = 1 × 7/42 × 7 = 7/294 - Likewise, for the 2nd fraction, since 98 × 3 = 294,
9/98 = 9 × 3/98 × 3 = 27/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/294 < 27/294 or 1/42 < 9/98
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