Basic Math Examples

$60 - (45 + 27) \div 3$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$60 - \frac{45 + 27}{3}$

Step 1.2

Cancel the common factor of $45 + 27$ and $3$ .

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Step 1.2.1

Factor $3$ out of $45$ .

$60 - \frac{3 \cdot 15 + 27}{3}$

Step 1.2.2

Factor $3$ out of $27$ .

$60 - \frac{3 \cdot 15 + 3 \cdot 9}{3}$

Step 1.2.3

Factor $3$ out of $3 \cdot 15 + 3 \cdot 9$ .

$60 - \frac{3 \cdot (15 + 9)}{3}$

Step 1.2.4

Cancel the common factors.

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Step 1.2.4.1

Factor $3$ out of $3$ .

$60 - \frac{3 \cdot (15 + 9)}{3 (1)}$

Step 1.2.4.2

Cancel the common factor.

$60 - \frac{3 \cdot (15 + 9)}{3 \cdot 1}$

Step 1.2.4.3

Rewrite the expression.

$60 - \frac{15 + 9}{1}$

Step 1.2.4.4

Divide $15 + 9$ by $1$ .

$60 - (15 + 9)$

$60 - (15 + 9)$

$60 - (15 + 9)$

Step 1.3

Add $15$ and $9$ .

$60 - 1 \cdot 24$

Step 1.4

Multiply $- 1$ by $24$ .

$60 - 24$

$60 - 24$

Step 2

Subtract $24$ from $60$ .

$36$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$