Basic Math Examples

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

Step 1

Combine the numerators over the common denominator.

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

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply $- 1$ by $2$ .

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

Step 3

Simplify terms.

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Step 3.1

Subtract $y$ from $2 y$ .

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

Step 3.2

Subtract $2$ from $1$ .

$\frac{y - 1}{y - 1}$

Step 3.3

Cancel the common factor of $y - 1$ .

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Step 3.3.1

Cancel the common factor.

$\frac{y - 1}{y - 1}$

Step 3.3.2

Rewrite the expression.

$1$