Basic Math Examples

$\frac{9 y - 2}{8 y - 1} - \frac{y - 1}{8 y - 1}$

Step 1

Combine the numerators over the common denominator.

$\frac{9 y - 2 - (y - 1)}{8 y - 1}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{9 y - 2 - y - - 1}{8 y - 1}$

Step 2.2

Multiply $- 1$ by $- 1$ .

$\frac{9 y - 2 - y + 1}{8 y - 1}$

Step 3

Simplify terms.

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Step 3.1

Subtract $y$ from $9 y$ .

$\frac{8 y - 2 + 1}{8 y - 1}$

Step 3.2

Add $- 2$ and $1$ .

$\frac{8 y - 1}{8 y - 1}$

Step 3.3

Cancel the common factor of $8 y - 1$ .

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Step 3.3.1

Cancel the common factor.

$\frac{8 y - 1}{8 y - 1}$

Step 3.3.2

Rewrite the expression.

$1$