Basic Math Examples

$- \frac{15}{\frac{2}{- \frac{3}{10}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$- (15 \frac{- \frac{3}{10}}{2})$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$- (15 (- \frac{3}{10} \cdot \frac{1}{2}))$

Step 3

Multiply $- \frac{3}{10} \cdot \frac{1}{2}$ .

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Step 3.1

Multiply $\frac{1}{2}$ by $\frac{3}{10}$ .

$- (15 (- \frac{3}{2 \cdot 10}))$

Step 3.2

Multiply $2$ by $10$ .

$- (15 (- \frac{3}{20}))$

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Move the leading negative in $- \frac{3}{20}$ into the numerator.

$- (15 (\frac{- 3}{20}))$

Step 4.2

Factor $5$ out of $15$ .

$- (5 (3) \frac{- 3}{20})$

Step 4.3

Factor $5$ out of $20$ .

$- (5 \cdot 3 \frac{- 3}{5 \cdot 4})$

Step 4.4

Cancel the common factor.

$- (5 \cdot 3 \frac{- 3}{5 \cdot 4})$

Step 4.5

Rewrite the expression.

$- (3 (\frac{- 3}{4}))$

Step 5

Combine $3$ and $\frac{- 3}{4}$ .

$- \frac{3 \cdot - 3}{4}$

Step 6

Simplify the expression.

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Step 6.1

Multiply $3$ by $- 3$ .

$- \frac{- 9}{4}$

Step 6.2

Move the negative in front of the fraction.

$- - \frac{9}{4}$

Step 7

Multiply $- - \frac{9}{4}$ .

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Step 7.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{9}{4})$

Step 7.2

Multiply $\frac{9}{4}$ by $1$ .

$\frac{9}{4}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{4}$

Decimal Form:

$2.25$

Mixed Number Form:

$2 \frac{1}{4}$