Question

n. \frac{5}{7} = \frac{}{14}

Explanation:

Step1: Assume the equation is $\frac{5}{7} = \frac{n}{14}$ (correcting the likely typo in the problem). To solve for \( n \), cross - multiply.

The cross - multiplication rule for a proportion \(\frac{a}{b}=\frac{c}{d}\) is \(a\times d = b\times c\). So for \(\frac{5}{7}=\frac{n}{14}\), we have \(5\times14 = 7\times n\).

Step2: Calculate the left - hand side.

\(5\times14 = 70\), so the equation becomes \(70 = 7n\).

Step3: Solve for \( n \) by dividing both sides by 7.

\(n=\frac{70}{7}\)

Step4: Simplify the fraction.

\(\frac{70}{7}=10\)

Answer:

\(n = 10\)