Basic Math Examples

$\frac{5 - \frac{4}{10}}{5^{- 1}}$

Step 1

Move $5^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$(5 - \frac{4}{10}) \cdot 5$

Step 2

Cancel the common factor of $4$ and $10$ .

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Step 2.1

Factor $2$ out of $4$ .

$(5 - \frac{2 (2)}{10}) \cdot 5$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $10$ .

$(5 - \frac{2 \cdot 2}{2 \cdot 5}) \cdot 5$

Step 2.2.2

Cancel the common factor.

$(5 - \frac{2 \cdot 2}{2 \cdot 5}) \cdot 5$

Step 2.2.3

Rewrite the expression.

$(5 - \frac{2}{5}) \cdot 5$

Step 3

To write $5$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$(5 \cdot \frac{5}{5} - \frac{2}{5}) \cdot 5$

Step 4

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

$(\frac{5 \cdot 5}{5} - \frac{2}{5}) \cdot 5$

Step 5

Combine the numerators over the common denominator.

$\frac{5 \cdot 5 - 2}{5} \cdot 5$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $5$ by $5$ .

$\frac{25 - 2}{5} \cdot 5$

Step 6.2

Subtract $2$ from $25$ .

$\frac{23}{5} \cdot 5$

Step 7

Cancel the common factor of $5$ .

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Step 7.1

Cancel the common factor.

$\frac{23}{5} \cdot 5$

Step 7.2

Rewrite the expression.

$23$