Compare 30/98 and 14/24
30/98 is smaller than 14/24
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,
30/98 = 30 × 12/98 × 12 = 360/1176 - Likewise, for the 2nd fraction, since 24 × 49 = 1176,
14/24 = 14 × 49/24 × 49 = 686/1176 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/1176 < 686/1176 or 30/98 < 14/24
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