Basic Math Examples

$- \frac{1}{2} \cdot (2 y + 5)$

Step 1

Apply the distributive property.

$- \frac{1}{2} (2 y) - \frac{1}{2} \cdot 5$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$\frac{- 1}{2} (2 y) - \frac{1}{2} \cdot 5$

Step 2.2

Factor $2$ out of $2 y$ .

$\frac{- 1}{2} (2 (y)) - \frac{1}{2} \cdot 5$

Step 2.3

Cancel the common factor.

$\frac{- 1}{2} (2 y) - \frac{1}{2} \cdot 5$

Step 2.4

Rewrite the expression.

$- 1 y - \frac{1}{2} \cdot 5$

$- 1 y - \frac{1}{2} \cdot 5$

Step 3

Multiply $- \frac{1}{2} \cdot 5$ .

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Step 3.1

Multiply $5$ by $- 1$ .

$- 1 y - 5 (\frac{1}{2})$

Step 3.2

Combine $- 5$ and $\frac{1}{2}$ .

$- 1 y + \frac{- 5}{2}$

$- 1 y + \frac{- 5}{2}$

Step 4

Simplify each term.

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Step 4.1

Rewrite $- 1 y$ as $- y$ .

$- y + \frac{- 5}{2}$

Step 4.2

Move the negative in front of the fraction.

$- y - \frac{5}{2}$

$- y - \frac{5}{2}$

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