Basic Math Examples

$(6 m + 23 (23 - 5)) \div 4$

Step 1

Rewrite the division as a fraction.

$\frac{6 m + 23 (23 - 5)}{4}$

Step 2

Simplify the numerator.

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Step 2.1

Subtract $5$ from $23$ .

$\frac{6 m + 23 \cdot 18}{4}$

Step 2.2

Multiply $23$ by $18$ .

$\frac{6 m + 414}{4}$

Step 2.3

Factor $6$ out of $6 m + 414$ .

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Step 2.3.1

Factor $6$ out of $6 m$ .

$\frac{6 (m) + 414}{4}$

Step 2.3.2

Factor $6$ out of $414$ .

$\frac{6 m + 6 \cdot 69}{4}$

Step 2.3.3

Factor $6$ out of $6 m + 6 \cdot 69$ .

$\frac{6 (m + 69)}{4}$

$\frac{6 (m + 69)}{4}$

$\frac{6 (m + 69)}{4}$

Step 3

Cancel the common factor of $6$ and $4$ .

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Step 3.1

Factor $2$ out of $6 (m + 69)$ .

$\frac{2 (3 (m + 69))}{4}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $4$ .

$\frac{2 (3 (m + 69))}{2 (2)}$

Step 3.2.2

Cancel the common factor.

$\frac{2 (3 (m + 69))}{2 \cdot 2}$

Step 3.2.3

Rewrite the expression.

$\frac{3 (m + 69)}{2}$

$\frac{3 (m + 69)}{2}$

$\frac{3 (m + 69)}{2}$

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