Question

solve for r in the
\\(\frac{r}{16} = \frac{11}{17.6}\\)
r =
submit

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{r}{16}=\frac{11}{17.6}\), we cross - multiply. Cross - multiplying means that we multiply the numerator of the left - hand side by the denominator of the right - hand side and set it equal to the numerator of the right - hand side multiplied by the denominator of the left - hand side. So we get \(r\times17.6 = 11\times16\).

Step2: Calculate the right - hand side

First, calculate \(11\times16\). \(11\times16 = 176\). So our equation becomes \(17.6r=176\).

Step3: Solve for \(r\)

To solve for \(r\), we divide both sides of the equation \(17.6r = 176\) by \(17.6\). So \(r=\frac{176}{17.6}\). When we divide \(176\) by \(17.6\), we can think of it as \(176\div17.6\). Since \(17.6\times10 = 176\), we have \(r = 10\).

Answer:

\(r = 10\)