Question

operations with mixed numbers
subtract: $18\frac{2}{3} - 6\frac{1}{9}$
$11\frac{7}{12}$
$12\frac{5}{9}$
$11\frac{1}{3}$
$9\frac{5}{12}$
question 3 of 8

Explanation:

Step1: Convert to improper fractions or find common denominator for fractions.

First, handle the fractional parts. The denominators are 3 and 9. The least common denominator (LCD) of 3 and 9 is 9. So we convert $\frac{2}{3}$ to ninths: $\frac{2}{3}=\frac{2\times3}{3\times3}=\frac{6}{9}$. Now the problem becomes $18\frac{6}{9}-6\frac{1}{9}$.

Step2: Subtract the whole numbers and the fractions separately.

Subtract the whole numbers: $18 - 6 = 12$. Subtract the fractions: $\frac{6}{9}-\frac{1}{9}=\frac{5}{9}$. Then combine the results: $12+\frac{5}{9}=12\frac{5}{9}$.

Answer:

$12\frac{5}{9}$ (corresponding to the option with this value, e.g., if the option is labeled as, say, B. $12\frac{5}{9}$, then the answer would be B. $12\frac{5}{9}$; based on the given options, the correct one is the one with $12\frac{5}{9}$)