To solve the equation \( \frac{13}{m} = \frac{26}{4} \), you can start by simplifying the right side.
First, simplify \( \frac{26}{4} \):
\[ \frac{26}{4} = \frac{13}{2} \]
Now, you have the equation:
\[ \frac{13}{m} = \frac{13}{2} \]
Next, you can cross-multiply:
\[ 13 \cdot 2 = 13 \cdot m \]
This simplifies to:
\[ 26 = 13m \]
Now, divide both sides by 13 to solve for \( m \):
\[ m = \frac{26}{13} = 2 \]
Thus, the solution is:
\[ m = 2 \]