Pre-Algebra Examples

$\frac{f}{- 4} + 20.5 = 12.9$

Step 1

Move the negative in front of the fraction.

$- \frac{f}{4} + 20.5 = 12.9$

Step 2

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

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Step 2.1

Subtract $20.5$ from both sides of the equation.

$- \frac{f}{4} = 12.9 - 20.5$

Step 2.2

Subtract $20.5$ from $12.9$ .

$- \frac{f}{4} = - 7.6$

Step 3

Multiply both sides of the equation by $- 4$ .

$- 4 (- \frac{f}{4}) = - 4 \cdot - 7.6$

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

Simplify $- 4 (- \frac{f}{4})$ .

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Step 4.1.1.1

Cancel the common factor of $4$ .

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Step 4.1.1.1.1

Move the leading negative in $- \frac{f}{4}$ into the numerator.

$- 4 \frac{- f}{4} = - 4 \cdot - 7.6$

Step 4.1.1.1.2

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{- f}{4} = - 4 \cdot - 7.6$

Step 4.1.1.1.3

Cancel the common factor.

$4 \cdot - 1 \frac{- f}{4} = - 4 \cdot - 7.6$

Step 4.1.1.1.4

Rewrite the expression.

$- - f = - 4 \cdot - 7.6$

Step 4.1.1.2

Multiply.

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Step 4.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 f = - 4 \cdot - 7.6$

Step 4.1.1.2.2

Multiply $f$ by $1$ .

$f = - 4 \cdot - 7.6$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $- 4$ by $- 7.6$ .

$f = 30.4$