Basic Math Examples

$y = \frac{2}{9} \cdot (m - 1) - 9$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$y = \frac{2}{9} m + \frac{2}{9} \cdot - 1 - 9$

Step 1.2

Combine $\frac{2}{9}$ and $m$ .

$y = \frac{2 m}{9} + \frac{2}{9} \cdot - 1 - 9$

Step 1.3

Multiply $\frac{2}{9} \cdot - 1$ .

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Step 1.3.1

Combine $\frac{2}{9}$ and $- 1$ .

$y = \frac{2 m}{9} + \frac{2 \cdot - 1}{9} - 9$

Step 1.3.2

Multiply $2$ by $- 1$ .

$y = \frac{2 m}{9} + \frac{- 2}{9} - 9$

Step 1.4

Move the negative in front of the fraction.

$y = \frac{2 m}{9} - \frac{2}{9} - 9$

Step 2

To write $- 9$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$y = \frac{2 m}{9} - \frac{2}{9} - 9 \cdot \frac{9}{9}$

Step 3

Combine $- 9$ and $\frac{9}{9}$ .

$y = \frac{2 m}{9} - \frac{2}{9} + \frac{- 9 \cdot 9}{9}$

Step 4

Combine the numerators over the common denominator.

$y = \frac{2 m}{9} + \frac{- 2 - 9 \cdot 9}{9}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 9$ by $9$ .

$y = \frac{2 m}{9} + \frac{- 2 - 81}{9}$

Step 5.2

Subtract $81$ from $- 2$ .

$y = \frac{2 m}{9} + \frac{- 83}{9}$

Step 6

Move the negative in front of the fraction.

$y = \frac{2 m}{9} - \frac{83}{9}$