Basic Math Examples

$46 - \frac{36}{9} \cdot 15 - 4 + 3^{2}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $3$ .

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Step 1.1.1

Move the leading negative in $- \frac{36}{9}$ into the numerator.

$46 + \frac{- 36}{9} \cdot 15 - 4 + 3^{2}$

Step 1.1.2

Factor $3$ out of $9$ .

$46 + \frac{- 36}{3 (3)} \cdot 15 - 4 + 3^{2}$

Step 1.1.3

Factor $3$ out of $15$ .

$46 + \frac{- 36}{3 \cdot 3} \cdot (3 \cdot 5) - 4 + 3^{2}$

Step 1.1.4

Cancel the common factor.

$46 + \frac{- 36}{3 \cdot 3} \cdot (3 \cdot 5) - 4 + 3^{2}$

Step 1.1.5

Rewrite the expression.

$46 + \frac{- 36}{3} \cdot 5 - 4 + 3^{2}$

Step 1.2

Combine $\frac{- 36}{3}$ and $5$ .

$46 + \frac{- 36 \cdot 5}{3} - 4 + 3^{2}$

Step 1.3

Multiply $- 36$ by $5$ .

$46 + \frac{- 180}{3} - 4 + 3^{2}$

Step 1.4

Divide $- 180$ by $3$ .

$46 - 60 - 4 + 3^{2}$

Step 1.5

Raise $3$ to the power of $2$ .

$46 - 60 - 4 + 9$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $60$ from $46$ .

$- 14 - 4 + 9$

Step 2.2

Subtract $4$ from $- 14$ .

$- 18 + 9$

Step 2.3

Add $- 18$ and $9$ .

$- 9$