Basic Math Examples

$(9 \cdot 3 - 6 \cdot 6 + 8) \cdot 3 + \frac{- 15 \cdot 3 - 16}{- 5} \cdot 4$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Multiply $9$ by $3$ .

$(27 - 6 \cdot 6 + 8) \cdot 3 + \frac{- 15 \cdot 3 - 16}{- 5} \cdot 4$

Step 1.1.2

Multiply $- 6$ by $6$ .

$(27 - 36 + 8) \cdot 3 + \frac{- 15 \cdot 3 - 16}{- 5} \cdot 4$

Step 1.2

Subtract $36$ from $27$ .

$(- 9 + 8) \cdot 3 + \frac{- 15 \cdot 3 - 16}{- 5} \cdot 4$

Step 1.3

Add $- 9$ and $8$ .

$- 1 \cdot 3 + \frac{- 15 \cdot 3 - 16}{- 5} \cdot 4$

Step 1.4

Multiply $- 1$ by $3$ .

$- 3 + \frac{- 15 \cdot 3 - 16}{- 5} \cdot 4$

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $- 15$ by $3$ .

$- 3 + \frac{- 45 - 16}{- 5} \cdot 4$

Step 1.5.2

Subtract $16$ from $- 45$ .

$- 3 + \frac{- 61}{- 5} \cdot 4$

Step 1.6

Dividing two negative values results in a positive value.

$- 3 + \frac{61}{5} \cdot 4$

Step 1.7

Multiply $\frac{61}{5} \cdot 4$ .

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Step 1.7.1

Combine $\frac{61}{5}$ and $4$ .

$- 3 + \frac{61 \cdot 4}{5}$

Step 1.7.2

Multiply $61$ by $4$ .

$- 3 + \frac{244}{5}$

Step 2

To write $- 3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- 3 \cdot \frac{5}{5} + \frac{244}{5}$

Step 3

Combine $- 3$ and $\frac{5}{5}$ .

$\frac{- 3 \cdot 5}{5} + \frac{244}{5}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 3 \cdot 5 + 244}{5}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 3$ by $5$ .

$\frac{- 15 + 244}{5}$

Step 5.2

Add $- 15$ and $244$ .

$\frac{229}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{229}{5}$

Decimal Form:

$45.8$

Mixed Number Form:

$45 \frac{4}{5}$