Basic Math Examples

$- \frac{3}{4} b = 9$

Step 1

Multiply both sides of the equation by $- \frac{4}{3}$ .

$- \frac{4}{3} (- \frac{3}{4} b) = - \frac{4}{3} \cdot 9$

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 $- \frac{4}{3} (- \frac{3}{4} b)$ .

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Step 2.1.1.1

Combine $b$ and $\frac{3}{4}$ .

$- \frac{4}{3} (- \frac{b \cdot 3}{4}) = - \frac{4}{3} \cdot 9$

Step 2.1.1.2

Cancel the common factor of $4$ .

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Step 2.1.1.2.1

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$\frac{- 4}{3} (- \frac{b \cdot 3}{4}) = - \frac{4}{3} \cdot 9$

Step 2.1.1.2.2

Move the leading negative in $- \frac{b \cdot 3}{4}$ into the numerator.

$\frac{- 4}{3} \cdot \frac{- b \cdot 3}{4} = - \frac{4}{3} \cdot 9$

Step 2.1.1.2.3

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{3} \cdot \frac{- b \cdot 3}{4} = - \frac{4}{3} \cdot 9$

Step 2.1.1.2.4

Cancel the common factor.

$\frac{4 \cdot - 1}{3} \cdot \frac{- b \cdot 3}{4} = - \frac{4}{3} \cdot 9$

Step 2.1.1.2.5

Rewrite the expression.

$\frac{- 1}{3} (- b \cdot 3) = - \frac{4}{3} \cdot 9$

Step 2.1.1.3

Cancel the common factor of $3$ .

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Step 2.1.1.3.1

Factor $3$ out of $- b \cdot 3$ .

$\frac{- 1}{3} (3 \cdot (- b)) = - \frac{4}{3} \cdot 9$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{- 1}{3} (3 \cdot (- b)) = - \frac{4}{3} \cdot 9$

Step 2.1.1.3.3

Rewrite the expression.

$- - b = - \frac{4}{3} \cdot 9$

Step 2.1.1.4

Multiply.

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Step 2.1.1.4.1

Multiply $- 1$ by $- 1$ .

$1 b = - \frac{4}{3} \cdot 9$

Step 2.1.1.4.2

Multiply $b$ by $1$ .

$b = - \frac{4}{3} \cdot 9$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $- \frac{4}{3} \cdot 9$ .

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Step 2.2.1.1

Cancel the common factor of $3$ .

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Step 2.2.1.1.1

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$b = \frac{- 4}{3} \cdot 9$

Step 2.2.1.1.2

Factor $3$ out of $9$ .

$b = \frac{- 4}{3} \cdot (3 (3))$

Step 2.2.1.1.3

Cancel the common factor.

$b = \frac{- 4}{3} \cdot (3 \cdot 3)$

Step 2.2.1.1.4

Rewrite the expression.

$b = - 4 \cdot 3$

Step 2.2.1.2

Multiply $- 4$ by $3$ .

$b = - 12$