Pre-Algebra Examples

$\frac{3 y}{4} + \frac{5 y}{4}$

Step 1

Combine the numerators over the common denominator.

$\frac{3 y + 5 y}{4}$

Step 2

Add $3 y$ and $5 y$ .

$\frac{8 y}{4}$

Step 3

Cancel the common factor of $8$ and $4$ .

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Step 3.1

Factor $4$ out of $8 y$ .

$\frac{4 (2 y)}{4}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $4$ out of $4$ .

$\frac{4 (2 y)}{4 (1)}$

Step 3.2.2

Cancel the common factor.

$\frac{4 (2 y)}{4 \cdot 1}$

Step 3.2.3

Rewrite the expression.

$\frac{2 y}{1}$

Step 3.2.4

Divide $2 y$ by $1$ .

$2 y$