Basic Math Examples

$\frac{4.5 - s}{4.1} = - 9.9$

Step 1

Multiply both sides by $4.1$ .

$\frac{4.5 - s}{4.1} \cdot 4.1 = - 9.9 \cdot 4.1$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{4.5 - s}{4.1} \cdot 4.1$ .

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Step 2.1.1.1

Factor $0.5$ out of $4.5 - s$ .

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Step 2.1.1.1.1

Factor $0.5$ out of $4.5$ .

$\frac{0.5 (9) - s}{4.1} \cdot 4.1 = - 9.9 \cdot 4.1$

Step 2.1.1.1.2

Factor $0.5$ out of $- s$ .

$\frac{0.5 (9) + 0.5 (- 2 s)}{4.1} \cdot 4.1 = - 9.9 \cdot 4.1$

Step 2.1.1.1.3

Factor $0.5$ out of $0.5 (9) + 0.5 (- 2 s)$ .

$\frac{0.5 (9 - 2 s)}{4.1} \cdot 4.1 = - 9.9 \cdot 4.1$

Step 2.1.1.2

Cancel the common factor of $0.5$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{0.5 (9 - 2 s)}{4.1} \cdot 4.1 = - 9.9 \cdot 4.1$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{9 - 2 s}{4.1} \cdot \frac{4.1}{2} = - 9.9 \cdot 4.1$

Step 2.1.1.3

Cancel the common factor of $4.1$ .

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Step 2.1.1.3.1

Cancel the common factor.

$\frac{9 - 2 s}{4.1} \cdot \frac{4.1}{2} = - 9.9 \cdot 4.1$

Step 2.1.1.3.2

Rewrite the expression.

$(9 - 2 s) \cdot \frac{1}{2} = - 9.9 \cdot 4.1$

Step 2.1.1.4

Apply the distributive property.

$9 (\frac{1}{2}) - 2 s \frac{1}{2} = - 9.9 \cdot 4.1$

Step 2.1.1.5

Combine $9$ and $\frac{1}{2}$ .

$\frac{9}{2} - 2 s \frac{1}{2} = - 9.9 \cdot 4.1$

Step 2.1.1.6

Cancel the common factor of $2$ .

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Step 2.1.1.6.1

Factor $2$ out of $- 2 s$ .

$\frac{9}{2} + 2 (- s) \frac{1}{2} = - 9.9 \cdot 4.1$

Step 2.1.1.6.2

Cancel the common factor.

$\frac{9}{2} + 2 (- s) \frac{1}{2} = - 9.9 \cdot 4.1$

Step 2.1.1.6.3

Rewrite the expression.

$\frac{9}{2} - s = - 9.9 \cdot 4.1$

Step 2.1.1.7

Reorder $\frac{9}{2}$ and $- s$ .

$- s + \frac{9}{2} = - 9.9 \cdot 4.1$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $- 9.9$ by $4.1$ .

$- s + \frac{9}{2} = - 40.59$

Step 3

Solve for $s$ .

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Step 3.1

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

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Step 3.1.1

Subtract $\frac{9}{2}$ from both sides of the equation.

$- s = - 40.59 - \frac{9}{2}$

Step 3.1.2

To write $- 40.59$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- s = - 40.59 \cdot \frac{2}{2} - \frac{9}{2}$

Step 3.1.3

Combine $- 40.59$ and $\frac{2}{2}$ .

$- s = \frac{- 40.59 \cdot 2}{2} - \frac{9}{2}$

Step 3.1.4

Combine the numerators over the common denominator.

$- s = \frac{- 40.59 \cdot 2 - 9}{2}$

Step 3.1.5

Simplify the numerator.

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Step 3.1.5.1

Multiply $- 40.59$ by $2$ .

$- s = \frac{- 81.18 - 9}{2}$

Step 3.1.5.2

Subtract $9$ from $- 81.18$ .

$- s = \frac{- 90.18}{2}$

Step 3.1.6

Divide $- 90.18$ by $2$ .

$- s = - 45.09$

Step 3.2

Divide each term in $- s = - 45.09$ by $- 1$ and simplify.

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Step 3.2.1

Divide each term in $- s = - 45.09$ by $- 1$ .

$\frac{- s}{- 1} = \frac{- 45.09}{- 1}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Dividing two negative values results in a positive value.

$\frac{s}{1} = \frac{- 45.09}{- 1}$

Step 3.2.2.2

Divide $s$ by $1$ .

$s = \frac{- 45.09}{- 1}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $- 45.09$ by $- 1$ .

$s = 45.09$