Question

solve for k.\\(
\frac{8}{7} = \frac{12}{k}\\)
k = \\(
\boxed{}\\)

Explanation:

Step1: Cross - multiply the equation

Given the equation $\frac{8}{7}=\frac{12}{k}$, cross - multiplying gives us $8\times k = 12\times7$.

Step2: Simplify the right - hand side

Calculate $12\times7 = 84$, so the equation becomes $8k=84$.

Step3: Solve for k

Divide both sides of the equation $8k = 84$ by 8. We get $k=\frac{84}{8}$. Simplify $\frac{84}{8}$ by dividing both the numerator and the denominator by 4, so $k=\frac{21}{2}=10.5$.

Answer:

$\frac{21}{2}$ (or $10.5$)