Solve for p. {:[(p)/(8)=(7)/(9)],[p=]:}

Write Equation: Write down the given equation. We have the equation p/8 = 7/9. Our goal is to solve for p.Cross-Multiply: Cross-multiply to solve for p. To find p, we can cross-multiply the terms in the equation. This means we multiply both sides of the equation by 8 and by 9 to get rid of the fractions. (p/8) * 8 = (7/9) * 8Simplify Equation: Simplify the equation. After cross-multiplying, we get: p = (7 * 8) / 9Perform Multiplication: Perform the multiplication. Now we multiply 7 by 8 to get: p = 56 / 9Final Simplification: Simplify the fraction if possible. The fraction 56/9 cannot be simplified further, so this is the final form of p.

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Solve for

p

\newline

\begin{array}{l} \frac{p}{8}=\frac{7}{9} \\ p= \end{array}

Write Equation: Write down the given equation. $\newline$ We have the equation $\frac{p}{8} = \frac{7}{9}$ . Our goal is to solve for $p$ .
Cross-Multiply: Cross-multiply to solve for $p$ . $\newline$ To find $p$ , we can cross-multiply the terms in the equation. This means we multiply both sides of the equation by $8$ and by $9$ to get rid of the fractions. $\newline$ $\frac{p}{8} \times 8 = \frac{7}{9} \times 8$
Simplify Equation: Simplify the equation. $\newline$ After cross-multiplying, we get: $\newline$ $p = \frac{7 \times 8}{9}$
Perform Multiplication: Perform the multiplication. $\newline$ Now we multiply $7$ by $8$ to get: $\newline$ $p = \frac{56}{9}$
Final Simplification: Simplify the fraction if possible. $\newline$ The fraction $\frac{56}{9}$ cannot be simplified further, so this is the final form of $p$ .