Basic Math Examples

46 \div 11 \frac{1}{2}

$46 \div 11 \frac{1}{2}$

Step 1

Convert

11 \frac{1}{2}

$11 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

46 \div (11 + \frac{1}{2})

$46 \div (11 + \frac{1}{2})$

Step 1.2

Add

11

$11$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

To write

11

$11$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

46 \div (11 \cdot \frac{2}{2} + \frac{1}{2})

$46 \div (11 \cdot \frac{2}{2} + \frac{1}{2})$

Step 1.2.2

Combine

11

$11$ and

\frac{2}{2}

$\frac{2}{2}$ .

46 \div (\frac{11 \cdot 2}{2} + \frac{1}{2})

$46 \div (\frac{11 \cdot 2}{2} + \frac{1}{2})$

Step 1.2.3

Combine the numerators over the common denominator.

46 \div \frac{11 \cdot 2 + 1}{2}

$46 \div \frac{11 \cdot 2 + 1}{2}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

11

$11$ by

2

$2$ .

46 \div \frac{22 + 1}{2}

$46 \div \frac{22 + 1}{2}$

Step 1.2.4.2

Add

22

$22$ and

1

$1$ .

46 \div \frac{23}{2}

$46 \div \frac{23}{2}$

46 \div \frac{23}{2}

$46 \div \frac{23}{2}$

46 \div \frac{23}{2}

$46 \div \frac{23}{2}$

46 \div \frac{23}{2}

$46 \div \frac{23}{2}$

Step 2

To divide by a fraction, multiply by its reciprocal.

46 (\frac{2}{23})

$46 (\frac{2}{23})$

Step 3

Cancel the common factor of

23

$23$ .

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Step 3.1

Factor

23

$23$ out of

46

$46$ .

23 (2) \frac{2}{23}

$23 (2) \frac{2}{23}$

Step 3.2

Cancel the common factor.

$23 \cdot 2 \frac{2}{23}$

Step 3.3

Rewrite the expression.

$2 \cdot 2$

Step 4

Multiply

$2$ by

$2$ .

$4$