Compare 4/98 and 27/32
4/98 is smaller than 27/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 32 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 98 × 16 = 1568,
4/98 = 4 × 16/98 × 16 = 64/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
27/32 = 27 × 49/32 × 49 = 1323/1568 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/1568 < 1323/1568 or 4/98 < 27/32
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