Basic Math Examples

$\frac{y}{y - 3} \cdot \frac{y + 1}{y} + 2$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $y$ .

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Step 1.1.1

Cancel the common factor.

$\frac{y}{y - 3} \cdot \frac{y + 1}{y} + 2$

Step 1.1.2

Rewrite the expression.

$\frac{1}{y - 3} \cdot (y + 1) + 2$

Step 1.2

Multiply $\frac{1}{y - 3}$ by $y + 1$ .

$\frac{y + 1}{y - 3} + 2$

Step 2

To write $2$ as a fraction with a common denominator, multiply by $\frac{y - 3}{y - 3}$ .

$\frac{y + 1}{y - 3} + \frac{2 (y - 3)}{y - 3}$

Step 3

Combine the numerators over the common denominator.

$\frac{y + 1 + 2 (y - 3)}{y - 3}$

Step 4

Simplify the numerator.

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Step 4.1

Apply the distributive property.

$\frac{y + 1 + 2 y + 2 \cdot - 3}{y - 3}$

Step 4.2

Multiply $2$ by $- 3$ .

$\frac{y + 1 + 2 y - 6}{y - 3}$

Step 4.3

Add $y$ and $2 y$ .

$\frac{3 y + 1 - 6}{y - 3}$

Step 4.4

Subtract $6$ from $1$ .

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