Basic Math Examples

$\frac{\frac{1}{8} - \frac{1}{4}}{\frac{1}{5}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(\frac{1}{8} - \frac{1}{4}) \cdot 5$

Step 2

To write $- \frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(\frac{1}{8} - \frac{1}{4} \cdot \frac{2}{2}) \cdot 5$

Step 3

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{1}{4}$ by $\frac{2}{2}$ .

$(\frac{1}{8} - \frac{2}{4 \cdot 2}) \cdot 5$

Step 3.2

Multiply $4$ by $2$ .

$(\frac{1}{8} - \frac{2}{8}) \cdot 5$

Step 4

Combine the numerators over the common denominator.

$\frac{1 - 2}{8} \cdot 5$

Step 5

Subtract $2$ from $1$ .

$\frac{- 1}{8} \cdot 5$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{8} \cdot 5$

Step 7

Multiply $- \frac{1}{8} \cdot 5$ .

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Step 7.1

Multiply $5$ by $- 1$ .

$- 5 (\frac{1}{8})$

Step 7.2

Combine $- 5$ and $\frac{1}{8}$ .

$\frac{- 5}{8}$

Step 8

Move the negative in front of the fraction.

$- \frac{5}{8}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{8}$

Decimal Form:

$- 0.625$