Basic Math Examples

$- 3 = - \frac{1}{10} \cdot 3 + b$

Step 1

Rewrite the equation as $- \frac{1}{10} \cdot 3 + b = - 3$ .

$- \frac{1}{10} \cdot 3 + b = - 3$

Step 2

Simplify each term.

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Step 2.1

Multiply $- \frac{1}{10} \cdot 3$ .

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Step 2.1.1

Multiply $3$ by $- 1$ .

$- 3 (\frac{1}{10}) + b = - 3$

Step 2.1.2

Combine $- 3$ and $\frac{1}{10}$ .

$\frac{- 3}{10} + b = - 3$

Step 2.2

Move the negative in front of the fraction.

$- \frac{3}{10} + b = - 3$

Step 3

Move all terms not containing $b$ to the right side of the equation.

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Step 3.1

Add $\frac{3}{10}$ to both sides of the equation.

$b = - 3 + \frac{3}{10}$

Step 3.2

To write $- 3$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$b = - 3 \cdot \frac{10}{10} + \frac{3}{10}$

Step 3.3

Combine $- 3$ and $\frac{10}{10}$ .

$b = \frac{- 3 \cdot 10}{10} + \frac{3}{10}$

Step 3.4

Combine the numerators over the common denominator.

$b = \frac{- 3 \cdot 10 + 3}{10}$

Step 3.5

Simplify the numerator.

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Step 3.5.1

Multiply $- 3$ by $10$ .

$b = \frac{- 30 + 3}{10}$

Step 3.5.2

Add $- 30$ and $3$ .

$b = \frac{- 27}{10}$

Step 3.6

Move the negative in front of the fraction.

$b = - \frac{27}{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$b = - \frac{27}{10}$

Decimal Form:

$b = - 2.7$

Mixed Number Form:

$b = - 2 \frac{7}{10}$