Solve for r. {:[(4)/(r)=(5)/(7)],[r=]:}

Set up equation: Set up the equation from the problem. We have the equation (4/r) = (5/7).Cross-multiply for r: Cross-multiply to solve for r. Cross-multiplying gives us 4 * 7 = 5 * r.Perform multiplication: Perform the multiplication on both sides. This results in 28 = 5r.Divide for r: Divide both sides by 5 to solve for r. Dividing by 5 gives us r = 28 / 5.Calculate r: Calculate the value of r. r = 5.6

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Solve for
r.

{:[(4)/(r)=(5)/(7)],[r=]:}

Solve for $r$ . $\newline$ $\begin{array}{l} \frac{4}{r}=\frac{5}{7} \\ r=\square \end{array}$

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Math Problems

Grade 6

Inequalities with decimal multiplication

Full solution

Q. Solve for

r

\newline

\begin{array}{l} \frac{4}{r}=\frac{5}{7} \\ r=\square \end{array}

Set up equation: Set up the equation from the problem. $\newline$ We have the equation $\frac{4}{r} = \frac{5}{7}$ .
Cross-multiply for $r$ : Cross-multiply to solve for $r$ . Cross-multiplying gives us $4 \times 7 = 5 \times r$ .
Perform multiplication: Perform the multiplication on both sides. $\newline$ This results in $28 = 5r$ .
Divide for $r$ : Divide both sides by $5$ to solve for $r$ . $\newline$ Dividing by $5$ gives us $r = \frac{28}{5}$ .
Calculate $r$ : Calculate the value of $r$ . $r = 5.6$