Compare 40/98 and 12/9
1st number: 40/98, 2nd number: 1 3/9
40/98 is smaller than 12/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 9 is 882
Next, find the equivalent fraction of both fractional numbers with denominator 882 - For the 1st fraction, since 98 × 9 = 882,
40/98 = 40 × 9/98 × 9 = 360/882 - Likewise, for the 2nd fraction, since 9 × 98 = 882,
12/9 = 12 × 98/9 × 98 = 1176/882 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/882 < 1176/882 or 40/98 < 12/9
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