Basic Math Examples

$(8 - 3 - 6) \div 6 + 4 \cdot 9$

Step 1

Simplify by subtracting numbers.

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Step 1.1

Subtract $3$ from $8$ .

$(5 - 6) \div 6 + 4 \cdot 9$

Step 1.2

Subtract $6$ from $5$ .

$- 1 \div 6 + 4 \cdot 9$

Step 2

Simplify each term.

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Step 2.1

Rewrite the division as a fraction.

$\frac{- 1}{6} + 4 \cdot 9$

Step 2.2

Move the negative in front of the fraction.

$- \frac{1}{6} + 4 \cdot 9$

Step 2.3

Multiply $4$ by $9$ .

$- \frac{1}{6} + 36$

Step 3

To write $36$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$- \frac{1}{6} + 36 \cdot \frac{6}{6}$

Step 4

Combine $36$ and $\frac{6}{6}$ .

$- \frac{1}{6} + \frac{36 \cdot 6}{6}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 1 + 36 \cdot 6}{6}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $36$ by $6$ .

$\frac{- 1 + 216}{6}$

Step 6.2

Add $- 1$ and $216$ .

$\frac{215}{6}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{215}{6}$

Decimal Form:

$35.8\overline{3}$

Mixed Number Form:

$35 \frac{5}{6}$