Compare 40/9 and 24/14
1st number: 4 4/9, 2nd number: 1 10/14
40/9 is greater than 24/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
40/9 = 40 × 14/9 × 14 = 560/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
24/14 = 24 × 9/14 × 9 = 216/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 560/126 > 216/126 or 40/9 > 24/14
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