Basic Math Examples

$2 \div 3 \frac{2}{3}$

Step 1

Convert $3 \frac{2}{3}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$2 \div (3 + \frac{2}{3})$

Step 1.2

Add $3$ and $\frac{2}{3}$ .

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Step 1.2.1

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

$2 \div (3 \cdot \frac{3}{3} + \frac{2}{3})$

Step 1.2.2

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

$2 \div (\frac{3 \cdot 3}{3} + \frac{2}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

$2 \div \frac{3 \cdot 3 + 2}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $3$ .

$2 \div \frac{9 + 2}{3}$

Step 1.2.4.2

Add $9$ and $2$ .

$2 \div \frac{11}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$2 (\frac{3}{11})$

Step 3

Multiply $2 (\frac{3}{11})$ .

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Step 3.1

Combine $2$ and $\frac{3}{11}$ .

$\frac{2 \cdot 3}{11}$

Step 3.2

Multiply $2$ by $3$ .

$\frac{6}{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{11}$

Decimal Form:

$0.\overline{54}$