Compare 27/98 and 10/8
1st number: 27/98, 2nd number: 1 2/8
27/98 is smaller than 10/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 8 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 98 × 4 = 392,
27/98 = 27 × 4/98 × 4 = 108/392 - Likewise, for the 2nd fraction, since 8 × 49 = 392,
10/8 = 10 × 49/8 × 49 = 490/392 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/392 < 490/392 or 27/98 < 10/8
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