To solve the equation \( \frac{m}{5} = 7 \) for \( m \), follow these steps:
Step 1: Start with the equation
\[ \frac{m}{5} = 7 \]
Step 2: Eliminate the fraction
To get rid of the fraction, multiply both sides of the equation by 5: \[ 5 \cdot \frac{m}{5} = 5 \cdot 7 \]
Step 3: Simplify both sides
On the left side, the 5 in the numerator and denominator will cancel out: \[ m = 5 \cdot 7 \]
Step 4: Calculate the right side
Now, calculate \( 5 \cdot 7 \): \[ 5 \cdot 7 = 35 \]
Step 5: State the solution
Thus, the value of \( m \) is: \[ m = 35 \]
Summary
The solution to the equation \( \frac{m}{5} = 7 \) is \( m = 35 \).