Compare 60/98 and 12/40
60/98 is greater than 12/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 98 × 20 = 1960,
60/98 = 60 × 20/98 × 20 = 1200/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
12/40 = 12 × 49/40 × 49 = 588/1960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1200/1960 > 588/1960 or 60/98 > 12/40
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