Basic Math Examples

$9.5 - \frac{3}{4} b = 0$

Step 1

Simplify each term.

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Step 1.1

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

$9.5 - \frac{b \cdot 3}{4} = 0$

Step 1.2

Move $3$ to the left of $b$ .

$9.5 - \frac{3 b}{4} = 0$

Step 2

Subtract $9.5$ from both sides of the equation.

$- \frac{3 b}{4} = - 9.5$

Step 3

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

$- \frac{4}{3} (- \frac{3 b}{4}) = - \frac{4}{3} \cdot - 9.5$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

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

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Step 4.1.1.1

Cancel the common factor of $4$ .

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Step 4.1.1.1.1

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

$\frac{- 4}{3} (- \frac{3 b}{4}) = - \frac{4}{3} \cdot - 9.5$

Step 4.1.1.1.2

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

$\frac{- 4}{3} \cdot \frac{- 3 b}{4} = - \frac{4}{3} \cdot - 9.5$

Step 4.1.1.1.3

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{3} \cdot \frac{- 3 b}{4} = - \frac{4}{3} \cdot - 9.5$

Step 4.1.1.1.4

Cancel the common factor.

$\frac{4 \cdot - 1}{3} \cdot \frac{- 3 b}{4} = - \frac{4}{3} \cdot - 9.5$

Step 4.1.1.1.5

Rewrite the expression.

$\frac{- 1}{3} (- 3 b) = - \frac{4}{3} \cdot - 9.5$

Step 4.1.1.2

Cancel the common factor of $3$ .

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Step 4.1.1.2.1

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

$\frac{- 1}{3} (3 (- b)) = - \frac{4}{3} \cdot - 9.5$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{- 1}{3} (3 (- b)) = - \frac{4}{3} \cdot - 9.5$

Step 4.1.1.2.3

Rewrite the expression.

$- - b = - \frac{4}{3} \cdot - 9.5$

Step 4.1.1.3

Multiply.

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Step 4.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 b = - \frac{4}{3} \cdot - 9.5$

Step 4.1.1.3.2

Multiply $b$ by $1$ .

$b = - \frac{4}{3} \cdot - 9.5$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $- \frac{4}{3} \cdot - 9.5$ .

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Step 4.2.1.1

Multiply $- \frac{4}{3} \cdot - 9.5$ .

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Step 4.2.1.1.1

Multiply $- 9.5$ by $- 1$ .

$b = 9.5 (\frac{4}{3})$

Step 4.2.1.1.2

Combine $9.5$ and $\frac{4}{3}$ .

$b = \frac{9.5 \cdot 4}{3}$

Step 4.2.1.1.3

Multiply $9.5$ by $4$ .

$b = \frac{38}{3}$

Step 4.2.1.2

Cancel the common factor of $38$ and $3$ .

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Step 4.2.1.2.1

Rewrite $38$ as $1 (38)$ .

$b = \frac{1 (38)}{3}$

Step 4.2.1.2.2

Cancel the common factors.

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Step 4.2.1.2.2.1

Rewrite $3$ as $1 (3)$ .

$b = \frac{1 \cdot 38}{1 \cdot 3}$

Step 4.2.1.2.2.2

Cancel the common factor.

$b = \frac{1 \cdot 38}{1 \cdot 3}$

Step 4.2.1.2.2.3

Rewrite the expression.

$b = \frac{38}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$b = \frac{38}{3}$

Decimal Form:

$b = 12.\overline{6}$

Mixed Number Form:

$b = 12 \frac{2}{3}$