Basic Math Examples

$- 9.8 = \frac{w}{- 2.3}$

Step 1

Rewrite the equation as $\frac{w}{- 2.3} = - 9.8$ .

$\frac{w}{- 2.3} = - 9.8$

Step 2

Multiply both sides of the equation by $- 2.3$ .

$- 2.3 \frac{w}{- 2.3} = - 2.3 \cdot - 9.8$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $- 2.3 \frac{w}{- 2.3}$ .

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Step 3.1.1.1

Cancel the common factor of $2.3$ .

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Step 3.1.1.1.1

Factor $2.3$ out of $- 2.3$ .

$2.3 (- 1) \frac{w}{- 2.3} = - 2.3 \cdot - 9.8$

Step 3.1.1.1.2

Factor $2.3$ out of $- 2.3$ .

$2.3 \cdot - 1 \frac{w}{2.3 \cdot - 1} = - 2.3 \cdot - 9.8$

Step 3.1.1.1.3

Cancel the common factor.

$2.3 \cdot - 1 \frac{w}{2.3 \cdot - 1} = - 2.3 \cdot - 9.8$

Step 3.1.1.1.4

Rewrite the expression.

$- \frac{w}{- 1} = - 2.3 \cdot - 9.8$

Step 3.1.1.2

Simplify the expression.

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Step 3.1.1.2.1

Move the negative one from the denominator of $\frac{w}{- 1}$ .

$- (- 1 \cdot w) = - 2.3 \cdot - 9.8$

Step 3.1.1.2.2

Rewrite $- 1 \cdot w$ as $- w$ .

$- - w = - 2.3 \cdot - 9.8$

Step 3.1.1.3

Multiply $- - w$ .

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Step 3.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 w = - 2.3 \cdot - 9.8$

Step 3.1.1.3.2

Multiply $w$ by $1$ .

$w = - 2.3 \cdot - 9.8$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $- 2.3$ by $- 9.8$ .

$w = 22.54$