Basic Math Examples

$\frac{1}{4} \cdot (9 y - 3) + \frac{1}{8} \cdot (6 y + 9)$

Step 1

Factor $\frac{1}{8}$ out of each term.

$\frac{1}{8} (18 y - 6 + 6 y + 9)$

Step 2

Add $18 y$ and $6 y$ .

$\frac{1}{8} \cdot (24 y - 6 + 9)$

Step 3

Add $- 6$ and $9$ .

$\frac{1}{8} \cdot (24 y + 3)$

Step 4

Factor.

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Step 4.1

Factor $3$ out of $24 y + 3$ .

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Step 4.1.1

Factor $3$ out of $24 y$ .

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

Step 4.1.2

Factor $3$ out of $3$ .

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

Step 4.1.3

Factor $3$ out of $3 (8 y) + 3 (1)$ .

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

Step 4.2

Remove unnecessary parentheses.

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

Step 5

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

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