Basic Math Examples

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

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

Step 1

To write

- \frac{1}{8}

$- \frac{1}{8}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

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

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

Step 2

To write

- \frac{1}{5}

$- \frac{1}{5}$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

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

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

Step 3

Write each expression with a common denominator of

40

$40$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{1}{8}

$\frac{1}{8}$ by

\frac{5}{5}

$\frac{5}{5}$ .

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

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

Step 3.2

Multiply

8

$8$ by

5

$5$ .

- \frac{5}{40} - \frac{1}{5} \cdot \frac{8}{8}

$- \frac{5}{40} - \frac{1}{5} \cdot \frac{8}{8}$

Step 3.3

Multiply

\frac{1}{5}

$\frac{1}{5}$ by

\frac{8}{8}

$\frac{8}{8}$ .

- \frac{5}{40} - \frac{8}{5 \cdot 8}

$- \frac{5}{40} - \frac{8}{5 \cdot 8}$

Step 3.4

Multiply

5

$5$ by

8

$8$ .

- \frac{5}{40} - \frac{8}{40}

$- \frac{5}{40} - \frac{8}{40}$

- \frac{5}{40} - \frac{8}{40}

$- \frac{5}{40} - \frac{8}{40}$

Step 4

Combine the numerators over the common denominator.

\frac{- 5 - 8}{40}

$\frac{- 5 - 8}{40}$

Step 5

Subtract

8

$8$ from

- 5

$- 5$ .

\frac{- 13}{40}

$\frac{- 13}{40}$

Step 6

Move the negative in front of the fraction.

- \frac{13}{40}

$- \frac{13}{40}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{13}{40}

$- \frac{13}{40}$

Decimal Form:

- 0.325

$- 0.325$