Question

(\frac{6}{8}=\frac{12}{m})

Explanation:

Step1: Identify the proportion

We have the proportion $\frac{6}{8}=\frac{12}{m}$ (assuming the intended equation is to solve for \( m \) where the right - hand side numerator is 12 and we need to find the denominator \( m \)). Cross - multiply: In a proportion $\frac{a}{b}=\frac{c}{d}$, we have \( a\times d = b\times c \). So here, \( 6\times m=8\times12 \).

Step2: Calculate the right - hand side

Calculate \( 8\times12 = 96 \). So our equation becomes \( 6m = 96 \).

Step3: Solve for \( m \)

Divide both sides of the equation \( 6m = 96 \) by 6. \( m=\frac{96}{6}=16 \).

Answer:

\( m = 16 \)