Solve for n. {:[(8)/(3)=(12 )/(n)],[n=]:}

Set up proportion equation: Set up the proportion as an equation. We have the proportion 8/3 = 12/n. To solve for n, we need to find the value of n that makes this equation true.Cross-multiply to eliminate fractions: Cross-multiply to eliminate the fractions. Cross-multiplication gives us 8 * n = 12 * 3.Perform multiplication on right side: Perform the multiplication on the right side of the equation. 12 * 3 = 36, so the equation now reads 8 * n = 36.Divide both sides to solve: Divide both sides of the equation by 8 to solve for n. 8 * n / 8 = 36 / 8, which simplifies to n = 36 / 8.Calculate value of n: Calculate the value of n. 36 / 8 = 4.5, so n = 4.5.

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Solve for
n.

{:[(8)/(3)=(12 )/(n)],[n=]:}

Solve for $n$ . $\newline$ $\begin{array}{l} \frac{8}{3}=\frac{12}{n} \\ n= \end{array}$

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Math Problems

Grade 6

Multiply using the distributive property

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Q. Solve for

n

\newline

\begin{array}{l} \frac{8}{3}=\frac{12}{n} \\ n= \end{array}

Set up proportion equation: Set up the proportion as an equation. $\newline$ We have the proportion $\frac{8}{3} = \frac{12}{n}$ . To solve for $n$ , we need to find the value of $n$ that makes this equation true.
Cross-multiply to eliminate fractions: Cross-multiply to eliminate the fractions. Cross-multiplication gives us $8 \times n = 12 \times 3$ .
Perform multiplication on right side: Perform the multiplication on the right side of the equation. $12 \times 3 = 36$ , so the equation now reads $8 \times n = 36$ .
Divide both sides to solve: Divide both sides of the equation by $8$ to solve for $n$ . $\newline$ $8 \times n / 8 = 36 / 8$ , which simplifies to $n = 36 / 8$ .
Calculate value of n: Calculate the value of $n$ . $\frac{36}{8} = 4.5$ , so $n = 4.5$ .