Basic Math Examples

12 \div 1 \frac{1}{2}

$12 \div 1 \frac{1}{2}$

Step 1

Convert

1 \frac{1}{2}

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

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Step 1.1

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

12 \div (1 + \frac{1}{2})

$12 \div (1 + \frac{1}{2})$

Step 1.2

Add

1

$1$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

12 \div (\frac{2}{2} + \frac{1}{2})

$12 \div (\frac{2}{2} + \frac{1}{2})$

Step 1.2.2

Combine the numerators over the common denominator.

12 \div \frac{2 + 1}{2}

$12 \div \frac{2 + 1}{2}$

Step 1.2.3

Add

2

$2$ and

1

$1$ .

12 \div \frac{3}{2}

$12 \div \frac{3}{2}$

12 \div \frac{3}{2}

$12 \div \frac{3}{2}$

12 \div \frac{3}{2}

$12 \div \frac{3}{2}$

Step 2

To divide by a fraction, multiply by its reciprocal.

12 (\frac{2}{3})

$12 (\frac{2}{3})$

Step 3

Cancel the common factor of

3

$3$ .

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Step 3.1

Factor

3

$3$ out of

12

$12$ .

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

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$4 \cdot 2$

Step 4

Multiply

$4$ by

$2$ .

$8$