Basic Math Examples

$6 (\frac{1}{2} w - \frac{3}{4})$

Step 1

Combine $\frac{1}{2}$ and $w$ .

$6 (\frac{w}{2} - \frac{3}{4})$

Step 2

Apply the distributive property.

$6 \frac{w}{2} + 6 (- \frac{3}{4})$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $6$ .

$2 (3) \frac{w}{2} + 6 (- \frac{3}{4})$

Step 3.2

Cancel the common factor.

$2 \cdot 3 \frac{w}{2} + 6 (- \frac{3}{4})$

Step 3.3

Rewrite the expression.

$3 w + 6 (- \frac{3}{4})$

$3 w + 6 (- \frac{3}{4})$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$3 w + 6 (\frac{- 3}{4})$

Step 4.2

Factor $2$ out of $6$ .

$3 w + 2 (3) \frac{- 3}{4}$

Step 4.3

Factor $2$ out of $4$ .

$3 w + 2 \cdot 3 \frac{- 3}{2 \cdot 2}$

Step 4.4

Cancel the common factor.

$3 w + 2 \cdot 3 \frac{- 3}{2 \cdot 2}$

Step 4.5

Rewrite the expression.

$3 w + 3 (\frac{- 3}{2})$

$3 w + 3 (\frac{- 3}{2})$

Step 5

Combine $3$ and $\frac{- 3}{2}$ .

$3 w + \frac{3 \cdot - 3}{2}$

Step 6

Simplify the expression.

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Step 6.1

Multiply $3$ by $- 3$ .

$3 w + \frac{- 9}{2}$

Step 6.2

Move the negative in front of the fraction.

$3 w - \frac{9}{2}$

$3 w - \frac{9}{2}$

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