Question

50 POINTS
Solve for P: $\frac{7}{p} = \frac{8}{9}$

Answer 1

Given expression:

$\sf \rightarrow \dfrac{7}{p}=\dfrac{8}{9}$

cross multiply

$\sf \rightarrow7(9) = 8(p)$

multiply variables

$\sf \rightarrow 63 = 8p$

exchange sides

$\sf \rightarrow 8p = 63$

divide both sides by 8

$\sf \rightarrow \dfrac{8p}{8} = \dfrac{63}{8}$

in improper fraction

$\sf \rightarrow p = \dfrac{63}{8}$

in mixed fraction

$\sf \rightarrow p = 7\dfrac{7}{8}$

in decimals

$\sf \rightarrow p =7.875$

Answer 2

Answer:

$p = 7 \frac{7}{8}$

Step-by-step explanation:

$\frac{7}{p} = \frac{8}{9}$

Use cross multiplication.

$7 \times 9 = 8 \times p \\ 63 = 8p$

Divide both sides by 8.

$\frac{63}{8} = \frac{8p}{8} \\ \\ \frac{63}{8} = p \: \: \:$

Now we can write the as a mixed number.

$7 \frac{7}{8} = p$