Question

solve for r.
\\(\frac{4}{r} = \frac{5}{7}\\)
\\(r = \square\\)

Explanation:

Step1: Cross - multiply the equation

To solve for \( r \) in the equation \(\frac{4}{r}=\frac{5}{7}\), we use cross - multiplication. Cross - multiplying gives us \( 5\times r=4\times7 \).

Step2: Simplify the right - hand side

Simplify \( 4\times7 \), we get \( 5r = 28 \).

Step3: Solve for \( r \)

Divide both sides of the equation \( 5r = 28 \) by 5. So \( r=\frac{28}{5}=5.6 \).

Answer:

\( r = \frac{28}{5} \) (or \( r = 5.6 \))