Basic Math Examples

$\frac{15}{\frac{4}{- \frac{14}{3}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$15 \frac{- \frac{14}{3}}{4}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$15 (- \frac{14}{3} \cdot \frac{1}{4})$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Move the leading negative in $- \frac{14}{3}$ into the numerator.

$15 (\frac{- 14}{3} \cdot \frac{1}{4})$

Step 3.2

Factor $2$ out of $- 14$ .

$15 (\frac{2 (- 7)}{3} \cdot \frac{1}{4})$

Step 3.3

Factor $2$ out of $4$ .

$15 (\frac{2 \cdot - 7}{3} \cdot \frac{1}{2 \cdot 2})$

Step 3.4

Cancel the common factor.

$15 (\frac{2 \cdot - 7}{3} \cdot \frac{1}{2 \cdot 2})$

Step 3.5

Rewrite the expression.

$15 (\frac{- 7}{3} \cdot \frac{1}{2})$

Step 4

Multiply $\frac{- 7}{3}$ by $\frac{1}{2}$ .

$15 \frac{- 7}{3 \cdot 2}$

Step 5

Multiply $3$ by $2$ .

$15 (\frac{- 7}{6})$

Step 6

Cancel the common factor of $3$ .

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Step 6.1

Factor $3$ out of $15$ .

$3 (5) \frac{- 7}{6}$

Step 6.2

Factor $3$ out of $6$ .

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

Step 6.3

Cancel the common factor.

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

Step 6.4

Rewrite the expression.

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

Step 7

Combine $5$ and $\frac{- 7}{2}$ .

$\frac{5 \cdot - 7}{2}$

Step 8

Simplify the expression.

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Step 8.1

Multiply $5$ by $- 7$ .

$\frac{- 35}{2}$

Step 8.2

Move the negative in front of the fraction.

$- \frac{35}{2}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$- \frac{35}{2}$

Decimal Form:

$- 17.5$

Mixed Number Form:

$- 17 \frac{1}{2}$