Algebra Examples

$8.25 + \frac{1}{4} w = 10.75$

Step 1

Combine $\frac{1}{4}$ and $w$ .

$8.25 + \frac{w}{4} = 10.75$

Step 2

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

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Step 2.1

Subtract $8.25$ from both sides of the equation.

$\frac{w}{4} = 10.75 - 8.25$

Step 2.2

Subtract $8.25$ from $10.75$ .

$\frac{w}{4} = 2.5$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{w}{4} = 4 \cdot 2.5$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $4$ .

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Step 4.1.1.1

Cancel the common factor.

$4 \frac{w}{4} = 4 \cdot 2.5$

Step 4.1.1.2

Rewrite the expression.

$w = 4 \cdot 2.5$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $4$ by $2.5$ .

$w = 10$