Basic Math Examples

$(30 - 15 \div 3) \div 5^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{30 - 15 \div 3}{5^{2}}$

Step 2

Cancel the common factor of $15$ and $3$ .

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Step 2.1

Factor $3$ out of $15$ .

$\frac{30 - 3 \cdot 5 \div 3}{5^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $3$ .

$\frac{30 - 3 \cdot 5 \div 3 (1)}{5^{2}}$

Step 2.2.2

Cancel the common factor.

$\frac{30 - 3 \cdot 5 \div 3 \cdot 1}{5^{2}}$

Step 2.2.3

Rewrite the expression.

$\frac{30 - \frac{5}{1}}{5^{2}}$

Step 2.2.4

Divide $5$ by $1$ .

$\frac{30 - 1 \cdot 5}{5^{2}}$

$\frac{30 - 1 \cdot 5}{5^{2}}$

$\frac{30 - 1 \cdot 5}{5^{2}}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply $- 1$ by $5$ .

$\frac{30 - 5}{5^{2}}$

Step 3.2

Subtract $5$ from $30$ .

$\frac{25}{5^{2}}$

$\frac{25}{5^{2}}$

Step 4

Simplify the expression.

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Step 4.1

Raise $5$ to the power of $2$ .

$\frac{25}{25}$

Step 4.2

Divide $25$ by $25$ .

$1$

$1$

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