Basic Math Examples

\frac{- 10}{\frac{8}{5}}

$\frac{- 10}{\frac{8}{5}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

- 10 (\frac{5}{8})

$- 10 (\frac{5}{8})$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

- 10

$- 10$ .

2 (- 5) \frac{5}{8}

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

Step 2.2

Factor

2

$2$ out of

8

$8$ .

2 \cdot - 5 \frac{5}{2 \cdot 4}

$2 \cdot - 5 \frac{5}{2 \cdot 4}$

Step 2.3

Cancel the common factor.

$2 \cdot - 5 \frac{5}{2 \cdot 4}$

Step 2.4

Rewrite the expression.

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

Step 3

Combine

$- 5$ and

$\frac{5}{4}$ .

$\frac{- 5 \cdot 5}{4}$

Step 4

Simplify the expression.

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Step 4.1

Multiply

$- 5$ by

$5$ .

$\frac{- 25}{4}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{25}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{25}{4}$

Decimal Form:

$- 6.25$

Mixed Number Form:

$- 6 \frac{1}{4}$