Compare 27/98 and 27/48
27/98 is smaller than 27/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 48 is 2352
Next, find the equivalent fraction of both fractional numbers with denominator 2352 - For the 1st fraction, since 98 × 24 = 2352,
27/98 = 27 × 24/98 × 24 = 648/2352 - Likewise, for the 2nd fraction, since 48 × 49 = 2352,
27/48 = 27 × 49/48 × 49 = 1323/2352 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 648/2352 < 1323/2352 or 27/98 < 27/48
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