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In Mathematics / Middle School | 2014-09-20

Solve for \( p \).

\[
\frac{7}{8}p - \frac{1}{4} = \frac{1}{2}p
\]

Asked by kjah

Answer (3)

8 7 ​ p − 4 1 ​ = 2 1 ​ p 8 7 p ​ − 4 1 ​ ( 2 = 2 p ​ ( 4 7 p − 2 = 4 p 7 p − 4 p = 2 3 p = 2 p = 3 2 ​ ​

Answered by mariamikayla | 2024-06-10

if you mean 8 p 7 ​ − 4 1 ​ = 2 p 1 ​ then multiply by p to give 8 7 ​ − 4 p ​ = 2 1 ​ then multiply by 8 to give 7 − 2 p = 4 subtract 7 − 2 p = − 3 divide by -2 p = 2 3 ​
if you mean ( 8 7 ​ ) p − 4 1 ​ = ( 2 1 ​ ) then multiply by 8 to give 7 p − 2 = 4 p subtract 4p 3 p − 2 = 0 add 2 3 p = 2 then divide by 3 p = 3 2 ​
hope that helps

Answered by pbc147 | 2024-06-10

To solve the equation 8 7 ​ p − 4 1 ​ = 2 1 ​ p , we eliminate fractions by multiplying by 8, rearranging terms, and isolating p. The solution is p = 3 2 ​ .
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Answered by mariamikayla | 2025-04-03