Basic Math Examples

$1 \frac{2}{3} \div 2$

Step 1

Convert $1 \frac{2}{3}$ to an improper fraction.

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

$(1 + \frac{2}{3}) \div 2$

Add $1$ and $\frac{2}{3}$ .

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Write $1$ as a fraction with a common denominator.

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

Combine the numerators over the common denominator.

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

Add $3$ and $2$ .

$\frac{5}{3} \div 2$

Step 2

Rewrite the division as a fraction.

$\frac{\frac{5}{3}}{2}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{3} \cdot \frac{1}{2}$

Step 4

Multiply $\frac{5}{3} \cdot \frac{1}{2}$ .

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Multiply $\frac{5}{3}$ by $\frac{1}{2}$ .

$\frac{5}{3 \cdot 2}$

Multiply $3$ by $2$ .

$\frac{5}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{6}$

Decimal Form:

$0.8\overline{3}$