Compare 40/14 and 98/9
1st number: 2 12/14, 2nd number: 10 8/9
40/14 is smaller than 98/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
40/14 = 40 × 9/14 × 9 = 360/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
98/9 = 98 × 14/9 × 14 = 1372/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/126 < 1372/126 or 40/14 < 98/9
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