Compare 6/24 and 30/98
6/24 is smaller than 30/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 98 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 24 × 49 = 1176,
6/24 = 6 × 49/24 × 49 = 294/1176 - Likewise, for the 2nd fraction, since 98 × 12 = 1176,
30/98 = 30 × 12/98 × 12 = 360/1176 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/1176 < 360/1176 or 6/24 < 30/98
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