Compare 1/4 and 32/98
1/4 is smaller than 32/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 98 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 4 × 49 = 196,
1/4 = 1 × 49/4 × 49 = 49/196 - Likewise, for the 2nd fraction, since 98 × 2 = 196,
32/98 = 32 × 2/98 × 2 = 64/196 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/196 < 64/196 or 1/4 < 32/98
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