Basic Math Examples

$\frac{3}{8} d = \frac{2}{3}$

Step 1

Multiply both sides of the equation by $\frac{8}{3}$ .

$\frac{8}{3} (\frac{3}{8} d) = \frac{8}{3} \cdot \frac{2}{3}$

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 $\frac{8}{3} (\frac{3}{8} d)$ .

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Step 2.1.1.1

Combine $\frac{3}{8}$ and $d$ .

$\frac{8}{3} \cdot \frac{3 d}{8} = \frac{8}{3} \cdot \frac{2}{3}$

Step 2.1.1.2

Cancel the common factor of $8$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{8}{3} \cdot \frac{3 d}{8} = \frac{8}{3} \cdot \frac{2}{3}$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{3} (3 d) = \frac{8}{3} \cdot \frac{2}{3}$

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 $3 d$ .

$\frac{1}{3} (3 (d)) = \frac{8}{3} \cdot \frac{2}{3}$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{3} (3 d) = \frac{8}{3} \cdot \frac{2}{3}$

Step 2.1.1.3.3

Rewrite the expression.

$d = \frac{8}{3} \cdot \frac{2}{3}$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $\frac{8}{3} \cdot \frac{2}{3}$ .

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Step 2.2.1.1

Multiply $\frac{8}{3}$ by $\frac{2}{3}$ .

$d = \frac{8 \cdot 2}{3 \cdot 3}$

Step 2.2.1.2

Multiply $8$ by $2$ .

$d = \frac{16}{3 \cdot 3}$

Step 2.2.1.3

Multiply $3$ by $3$ .

$d = \frac{16}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$d = \frac{16}{9}$

Decimal Form:

$d = 1.\overline{7}$

Mixed Number Form:

$d = 1 \frac{7}{9}$