Pre-Algebra Examples

$4 \div 1 \frac{1}{2}$

Step 1

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

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Step 1.1

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

$4 \div (1 + \frac{1}{2})$

Step 1.2

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

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Step 1.2.1

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

$4 \div (\frac{2}{2} + \frac{1}{2})$

Step 1.2.2

Combine the numerators over the common denominator.

$4 \div \frac{2 + 1}{2}$

Step 1.2.3

Add $2$ and $1$ .

$4 \div \frac{3}{2}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$4 (\frac{2}{3})$

Step 3

Multiply $4 (\frac{2}{3})$ .

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Step 3.1

Combine $4$ and $\frac{2}{3}$ .

$\frac{4 \cdot 2}{3}$

Step 3.2

Multiply $4$ by $2$ .

$\frac{8}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{3}$

Decimal Form:

$2.\overline{6}$

Mixed Number Form:

$2 \frac{2}{3}$