Basic Math Examples

$z = 40 - \frac{5}{100} \cdot 40$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $20$ .

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Step 1.1.1

Move the leading negative in $- \frac{5}{100}$ into the numerator.

$z = 40 + \frac{- 5}{100} \cdot 40$

Step 1.1.2

Factor $20$ out of $100$ .

$z = 40 + \frac{- 5}{20 (5)} \cdot 40$

Step 1.1.3

Factor $20$ out of $40$ .

$z = 40 + \frac{- 5}{20 \cdot 5} \cdot (20 \cdot 2)$

Step 1.1.4

Cancel the common factor.

$z = 40 + \frac{- 5}{20 \cdot 5} \cdot (20 \cdot 2)$

Step 1.1.5

Rewrite the expression.

$z = 40 + \frac{- 5}{5} \cdot 2$

Step 1.2

Combine $\frac{- 5}{5}$ and $2$ .

$z = 40 + \frac{- 5 \cdot 2}{5}$

Step 1.3

Multiply $- 5$ by $2$ .

$z = 40 + \frac{- 10}{5}$

Step 1.4

Divide $- 10$ by $5$ .

$z = 40 - 2$

Step 2

Subtract $2$ from $40$ .

$z = 38$