50 POINTS Solve for P: (7)/(p) = (8)/(9)

Question

50 POINTS
Solve for P:
`(7)/(p) = (8)/(9)`

Answer 1

`p = 7 (7)/(8) \\`

Explanation:

`(7)/(p) = (8)/(9) \\`

Use cross multiplication.

`7 * 9 = 8 * p \\ 63 = 8p`

Divide both sides by 8.

`(63)/(8) = (8p)/(8) \\ \\ (63)/(8) = p \: \: \:`

Now we can write the as a mixed number.

`7 (7)/(8) = p`

Answer 2

Given expression:

`\sf \rightarrow (7)/(p)=(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 (8p)/(8) = (63)/(8)`

in improper fraction

`\sf \rightarrow p = (63)/(8)`

in mixed fraction

`\sf \rightarrow p = 7(7)/(8)`

in decimals

`\sf \rightarrow p =7.875`