Compare 10/98 and 8/24
10/98 is smaller than 8/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 24 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 98 × 12 = 1176,
10/98 = 10 × 12/98 × 12 = 120/1176 - Likewise, for the 2nd fraction, since 24 × 49 = 1176,
8/24 = 8 × 49/24 × 49 = 392/1176 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/1176 < 392/1176 or 10/98 < 8/24
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