Pre-Algebra Examples

$- \frac{1}{8} \cdot (8 y + 3)$

Step 1

Apply the distributive property.

$- \frac{1}{8} (8 y) - \frac{1}{8} \cdot 3$

Step 2

Cancel the common factor of $8$ .

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Step 2.1

Move the leading negative in $- \frac{1}{8}$ into the numerator.

$\frac{- 1}{8} (8 y) - \frac{1}{8} \cdot 3$

Step 2.2

Factor $8$ out of $8 y$ .

$\frac{- 1}{8} (8 (y)) - \frac{1}{8} \cdot 3$

Step 2.3

Cancel the common factor.

$\frac{- 1}{8} (8 y) - \frac{1}{8} \cdot 3$

Step 2.4

Rewrite the expression.

$- 1 y - \frac{1}{8} \cdot 3$

$- 1 y - \frac{1}{8} \cdot 3$

Step 3

Multiply $- \frac{1}{8} \cdot 3$ .

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Step 3.1

Multiply $3$ by $- 1$ .

$- 1 y - 3 (\frac{1}{8})$

Step 3.2

Combine $- 3$ and $\frac{1}{8}$ .

$- 1 y + \frac{- 3}{8}$

$- 1 y + \frac{- 3}{8}$

Step 4

Simplify each term.

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Step 4.1

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

$- y + \frac{- 3}{8}$

Step 4.2

Move the negative in front of the fraction.

$- y - \frac{3}{8}$

$- y - \frac{3}{8}$

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