Compare 3/24 and 45/98
3/24 is smaller than 45/98
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,
3/24 = 3 × 49/24 × 49 = 147/1176 - Likewise, for the 2nd fraction, since 98 × 12 = 1176,
45/98 = 45 × 12/98 × 12 = 540/1176 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/1176 < 540/1176 or 3/24 < 45/98
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