Solve for p (p-4.6)/5.7=6.1/2

$\frac{p - 4.6}{5.7} = \frac{6.1}{2}$

Step 1

Multiply both sides of the equation by $5.7$ .

$5.7 \frac{p - 4.6}{5.7} = 5.7 (\frac{6.1}{2})$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $5.7$ .

Cancel the common factor.

$5.7 \frac{p - 4.6}{5.7} = 5.7 (\frac{6.1}{2})$

Rewrite the expression.

$p - 4.6 = 5.7 (\frac{6.1}{2})$

Simplify the right side.

Simplify $5.7 (\frac{6.1}{2})$ .

Divide $6.1$ by $2$ .

$p - 4.6 = 5.7 \cdot 3.05$

Multiply $5.7$ by $3.05$ .

$p - 4.6 = 17.385$

Step 3

Move all terms not containing $p$ to the right side of the equation.

Add $4.6$ to both sides of the equation.

$p = 17.385 + 4.6$

Add $17.385$ and $4.6$ .

$p = 21.985$