# Evaluate: (p)/(3)+2.5=4.75

## Expression: $\frac{ p }{ 3 }+2.5=4.75$

Convert the decimal into a fraction

$\frac{ p }{ 3 }+\frac{ 5 }{ 2 }=4.75$

Convert the decimal into a fraction

$\frac{ p }{ 3 }+\frac{ 5 }{ 2 }=\frac{ 19 }{ 4 }$

Multiply both sides of the equation by $12$

$4p+30=57$

Move the constant to the right-hand side and change its sign

$4p=57-30$

Subtract the numbers

$4p=27$

Divide both sides of the equation by $4$

\begin{align*}&p=\frac{ 27 }{ 4 } \\&\begin{array} { l }p=6 \frac{ 3 }{ 4 },& p=6.75\end{array}\end{align*}

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