Solve for p. {:[(8)/(9)=(12 )/(p)],[p=]:}

Set up proportion equation: Set up the proportion as an equation. We have the proportion 8/9 = 12/p. To solve for p, we need to find the value that makes this equation true.Cross-multiply to eliminate fractions: Cross-multiply to eliminate the fractions. Cross-multiplying gives us 8 * p = 9 * 12. This step is based on the property that if a/b = c/d, then a*d = b*c.Perform multiplication on both sides: Perform the multiplication on both sides. 8 * p = 108 (since 9 * 12 = 108).Divide to solve for p: Divide both sides by 8 to solve for p. p = 108 / 8.Calculate value of p: Calculate the value of p. p = 13.5 (since 108 divided by 8 equals 13.5).

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Solve for
p.

{:[(8)/(9)=(12 )/(p)],[p=]:}

Solve for $p$ . $\newline$ $\begin{array}{l} \frac{8}{9}=\frac{12}{p} \\ p= \end{array}$

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Math Problems

Grade 6

Multiply using the distributive property

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Q. Solve for

p

\newline

\begin{array}{l} \frac{8}{9}=\frac{12}{p} \\ p= \end{array}

Set up proportion equation: Set up the proportion as an equation. $\newline$ We have the proportion $\frac{8}{9} = \frac{12}{p}$ . To solve for $p$ , we need to find the value that makes this equation true.
Cross-multiply to eliminate fractions: Cross-multiply to eliminate the fractions. $\newline$ Cross-multiplying gives us $8 \times p = 9 \times 12$ . This step is based on the property that if $\frac{a}{b} = \frac{c}{d}$ , then $a \times d = b \times c$ .
Perform multiplication on both sides: Perform the multiplication on both sides. $8 \times p = 108$ (since $9 \times 12 = 108$ ).
Divide to solve for $p$ : Divide both sides by $8$ to solve for $p$ . $p = \frac{108}{8}$ .
Calculate value of p: Calculate the value of $p$ . $p = 13.5$ (since $108 \div 8 = 13.5$ ).