Algebra Examples

$\frac{5}{6} (- 2 y + 3)$

Step 1

Apply the distributive property.

$\frac{5}{6} (- 2 y) + \frac{5}{6} \cdot 3$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $6$ .

$\frac{5}{2 (3)} (- 2 y) + \frac{5}{6} \cdot 3$

Step 2.2

Factor $2$ out of $- 2 y$ .

$\frac{5}{2 (3)} (2 (- y)) + \frac{5}{6} \cdot 3$

Step 2.3

Cancel the common factor.

$\frac{5}{2 \cdot 3} (2 (- y)) + \frac{5}{6} \cdot 3$

Step 2.4

Rewrite the expression.

$\frac{5}{3} (- y) + \frac{5}{6} \cdot 3$

$\frac{5}{3} (- y) + \frac{5}{6} \cdot 3$

Step 3

Combine $\frac{5}{3}$ and $y$ .

$- \frac{5 y}{3} + \frac{5}{6} \cdot 3$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $6$ .

$- \frac{5 y}{3} + \frac{5}{3 (2)} \cdot 3$

Step 4.2

Cancel the common factor.

$- \frac{5 y}{3} + \frac{5}{3 \cdot 2} \cdot 3$

Step 4.3

Rewrite the expression.

$- \frac{5 y}{3} + \frac{5}{2}$

$- \frac{5 y}{3} + \frac{5}{2}$

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