Basic Math Examples

$1 L - 50 mL = km L$

Step 1

Multiply $L$ by $1$ .

$L - 50 mL = km L$

Step 2

Subtract $km L$ from both sides of the equation.

$L - 50 mL - km L = 0$

Step 3

Subtract $- 50 mL$ from both sides of the equation.

$L - km L = - (- 50 mL)$

Step 4

Factor $L$ out of $L - km L$ .

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Step 4.1

Factor $L$ out of $L^{1}$ .

$L \cdot 1 - km L = - (- 50 mL)$

Step 4.2

Factor $L$ out of $- km L$ .

$L \cdot 1 + L (- km) = - (- 50 mL)$

Step 4.3

Factor $L$ out of $L \cdot 1 + L (- km)$ .

$L (1 - km) = - (- 50 mL)$

Step 5

Divide each term in $L (1 - km) = - (- 50 mL)$ by $1 - km$ and simplify.

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Step 5.1

Divide each term in $L (1 - km) = - (- 50 mL)$ by $1 - km$ .

$\frac{L (1 - km)}{1 - km} = \frac{- (- 50 mL)}{1 - km}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $1 - km$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{L (1 - km)}{1 - km} = \frac{- (- 50 mL)}{1 - km}$

Step 5.2.1.2

Divide $L$ by $1$ .

$L = \frac{- (- 50 mL)}{1 - km}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Move the negative in front of the fraction.

$L = - \frac{- 50 mL}{1 - km}$

Step 6

Simplify $L = - \frac{- 50 mL}{1 - km}$ .

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Step 6.1

Move the negative in front of the fraction.

$L = - - \frac{50 mL}{1 - km}$

Step 6.2

Combine fractions.

$L = \frac{50 mL}{1 - km}$