Solve for x. {:[(8)/(x)=(5)/(9)],[x=]:}

Set up equation: Set up the equation from the given problem. We have the equation (8/x) = (5/9). To solve for x, we need to find a value for x that makes this equation true.Cross-multiply: Cross-multiply to solve for x. Cross-multiplication means we multiply the numerator of one fraction by the denominator of the other fraction and set the products equal to each other. This gives us 8 * 9 = 5 * x.Perform multiplication: Perform the multiplication on both sides. 8 * 9 = 72 and 5 * x = 5x. So, we have 72 = 5x.Divide for x: Divide both sides by 5 to solve for x. To isolate x, we divide both sides of the equation by 5. This gives us x = 72 / 5.Calculate value: Calculate the value of x. 72 divided by 5 is 14.4. Therefore, x = 14.4.

Home

Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Solve for

x

\newline

\begin{array}{l} \frac{8}{x}=\frac{5}{9} \\ x=\square \end{array}

Set up equation: Set up the equation from the given problem. $\newline$ We have the equation $(\frac{8}{x}) = (\frac{5}{9})$ . To solve for $x$ , we need to find a value for $x$ that makes this equation true.
Cross-multiply: Cross-multiply to solve for $x$ . Cross-multiplication means we multiply the numerator of one fraction by the denominator of the other fraction and set the products equal to each other. This gives us $8 \times 9 = 5 \times x$ .
Perform multiplication: Perform the multiplication on both sides. $\newline$ $8 \times 9 = 72$ and $5 \times x = 5x$ . So, we have $72 = 5x$ .
Divide for x: Divide both sides by $5$ to solve for x. $\newline$ To isolate x, we divide both sides of the equation by $5$ . This gives us $x = \frac{72}{5}$ .
Calculate value: Calculate the value of $x$ . $72$ divided by $5$ is $14.4$ . Therefore, $x = 14.4$ .