Basic Math Examples

$\frac{\frac{7 \cdot - 14}{5}}{\frac{5 \cdot - 10}{3}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{7 \cdot - 14}{5} \cdot \frac{3}{5 \cdot - 10}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $7 \cdot - 14$ .

$\frac{2 (7 \cdot - 7)}{5} \cdot \frac{3}{5 \cdot - 10}$

Step 2.2

Factor $2$ out of $5 \cdot - 10$ .

$\frac{2 (7 \cdot - 7)}{5} \cdot \frac{3}{2 (5 \cdot - 5)}$

Step 2.3

Cancel the common factor.

$\frac{2 (7 \cdot - 7)}{5} \cdot \frac{3}{2 (5 \cdot - 5)}$

Step 2.4

Rewrite the expression.

$\frac{7 \cdot - 7}{5} \cdot \frac{3}{5 \cdot - 5}$

Step 3

Multiply.

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Step 3.1

Multiply $7$ by $- 7$ .

$\frac{- 49}{5} \cdot \frac{3}{5 \cdot - 5}$

Step 3.2

Multiply $5$ by $- 5$ .

$\frac{- 49}{5} \cdot \frac{3}{- 25}$

Step 4

Multiply $\frac{- 49}{5}$ by $\frac{3}{- 25}$ .

$\frac{- 49 \cdot 3}{5 \cdot - 25}$

Step 5

Multiply.

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Step 5.1

Multiply $- 49$ by $3$ .

$\frac{- 147}{5 \cdot - 25}$

Step 5.2

Multiply $5$ by $- 25$ .

$\frac{- 147}{- 125}$

Step 6

Dividing two negative values results in a positive value.

$\frac{147}{125}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{147}{125}$

Decimal Form:

$1.176$

Mixed Number Form:

$1 \frac{22}{125}$