Solve for z. {:[(4)/(z)=(12)/(5)],[z=]:}

Set up proportion: Set up the proportion to solve for z. We have the equation (4/z) = (12/5). To solve for z, we can cross-multiply.Cross-multiply fractions: Cross-multiply the two fractions. This means we multiply 4 by 5 and z by 12, which gives us the equation 4 * 5 = z * 12.Perform multiplication: Perform the multiplication on the left side of the equation. 4 * 5 equals 20, so the equation now is 20 = z * 12.Divide to solve z: Divide both sides of the equation by 12 to solve for z. This gives us z = 20 / 12.Simplify fraction: Simplify the fraction on the right side of the equation. 20 divided by 12 can be simplified to 5/3 or approximately 1.6667.

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Solve for
z.

{:[(4)/(z)=(12)/(5)],[z=]:}

Solve for $z$ . $\newline$ $\begin{array}{l} \frac{4}{z}=\frac{12}{5} \\ z= \end{array}$

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Math Problems

Grade 6

Multiply two decimals: where does the decimal point go?

Full solution

Q. Solve for

z

\newline

\begin{array}{l} \frac{4}{z}=\frac{12}{5} \\ z= \end{array}

Set up proportion: Set up the proportion to solve for $z$ . We have the equation $\frac{4}{z} = \frac{12}{5}$ . To solve for $z$ , we can cross-multiply.
Cross-multiply fractions: Cross-multiply the two fractions. $\newline$ This means we multiply $4$ by $5$ and $z$ by $12$ , which gives us the equation $4 \times 5 = z \times 12$ .
Perform multiplication: Perform the multiplication on the left side of the equation. $4 \times 5$ equals $20$ , so the equation now is $20 = z \times 12$ .
Divide to solve $z$ : Divide both sides of the equation by $12$ to solve for $z$ . This gives us $z = \frac{20}{12}$ .
Simplify fraction: Simplify the fraction on the right side of the equation. $20$ divided by $12$ can be simplified to $\frac{5}{3}$ or approximately $1.6667$ .