Question

2 1/2k=4 1/2 *1 1/9

Answer 1

$2 \frac{1}{2k} = 4 \frac{1}{2} \times \frac{11}{9} \\ \frac{7}{2k} = \frac{9}{2} \times \frac{11}{9} \\ \frac{2}{7k} = \frac{9 \times 11}{2 \times 9} = \frac{11}{2} \\ k = \frac{11}{2} \div \frac{2}{7} \\ k = \frac{11 \times 7}{2 \times 2} = \frac{77}{4} = 19.2$
Вроде всё. Удачи!!!!!

Answer 2

To solve the equation, we need to first convert all the mixed numbers into improper fractions. Then we can perform the multiplication and find the value of "k."

Step 1: Convert the mixed numbers to improper fractions: 2 1/2 = 5/2 4 1/2 = 9/2 1 1/9 = 10/9

Step 2: Perform the multiplication on the right-hand side: 4 1/2 * 1 1/9 = (9/2) * (10/9) = 90/18 = 5

Step 3: Now, our equation becomes: 2 1/2k = 5

Step 4: Solve for "k": To isolate "k," we can divide both sides by 2 1/2 (5/2): k = 5 / (5/2) k = 5 * (2/5) k = 2

So, the value of "k" is 2.