Question

solve the proportion.
\frac{35}{28} = \frac{n}{12}

n = \square

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion \(\frac{35}{28}=\frac{n}{12}\), we use the cross - multiplication property of proportions. If \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). So, we have \(35\times12=28\times n\).
Calculating the left - hand side: \(35\times12 = 420\), and the equation becomes \(420 = 28n\).

Step2: Solve for \(n\)

To find the value of \(n\), we divide both sides of the equation \(420 = 28n\) by 28. So, \(n=\frac{420}{28}\).
Simplifying \(\frac{420}{28}\), we can divide both the numerator and the denominator by 14. \(\frac{420\div14}{28\div14}=\frac{30}{2}\), and \(\frac{30}{2}=15\).

Answer:

\(n = 15\)