Compare 10/12 and 40/98
10/12 is greater than 40/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 98 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 12 × 49 = 588,
10/12 = 10 × 49/12 × 49 = 490/588 - Likewise, for the 2nd fraction, since 98 × 6 = 588,
40/98 = 40 × 6/98 × 6 = 240/588 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 490/588 > 240/588 or 10/12 > 40/98
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