Basic Math Examples

\frac{b}{- 3} = 1.5

$\frac{b}{- 3} = 1.5$

Step 1

Multiply both sides of the equation by

- 3

$- 3$ .

- 3 \frac{b}{- 3} = - 3 \cdot 1.5

$- 3 \frac{b}{- 3} = - 3 \cdot 1.5$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify

- 3 \frac{b}{- 3}

$- 3 \frac{b}{- 3}$ .

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Step 2.1.1.1

Cancel the common factor of

3

$3$ .

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Step 2.1.1.1.1

Factor

3

$3$ out of

- 3

$- 3$ .

3 (- 1) \frac{b}{- 3} = - 3 \cdot 1.5

$3 (- 1) \frac{b}{- 3} = - 3 \cdot 1.5$

Step 2.1.1.1.2

Factor

3

$3$ out of

- 3

$- 3$ .

3 \cdot - 1 \frac{b}{3 \cdot - 1} = - 3 \cdot 1.5

$3 \cdot - 1 \frac{b}{3 \cdot - 1} = - 3 \cdot 1.5$

Step 2.1.1.1.3

Cancel the common factor.

$3 \cdot - 1 \frac{b}{3 \cdot - 1} = - 3 \cdot 1.5$

Step 2.1.1.1.4

Rewrite the expression.

$- \frac{b}{- 1} = - 3 \cdot 1.5$

Step 2.1.1.2

Simplify the expression.

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Step 2.1.1.2.1

Move the negative one from the denominator of

$\frac{b}{- 1}$ .

$- (- 1 \cdot b) = - 3 \cdot 1.5$

Step 2.1.1.2.2

Rewrite

$- 1 \cdot b$ as

$- b$ .

$- - b = - 3 \cdot 1.5$

Step 2.1.1.3

Multiply

$- - b$ .

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Step 2.1.1.3.1

Multiply

$- 1$ by

$- 1$ .

$1 b = - 3 \cdot 1.5$

Step 2.1.1.3.2

Multiply

$b$ by

$1$ .

$b = - 3 \cdot 1.5$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply

$- 3$ by

$1.5$ .

$b = - 4.5$