Basic Math Examples

26 \div 6 \frac{1}{2}

$26 \div 6 \frac{1}{2}$

Step 1

Convert

6 \frac{1}{2}

$6 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

26 \div (6 + \frac{1}{2})

$26 \div (6 + \frac{1}{2})$

Step 1.2

Add

6

$6$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

To write

6

$6$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

26 \div (6 \cdot \frac{2}{2} + \frac{1}{2})

$26 \div (6 \cdot \frac{2}{2} + \frac{1}{2})$

Step 1.2.2

Combine

6

$6$ and

\frac{2}{2}

$\frac{2}{2}$ .

26 \div (\frac{6 \cdot 2}{2} + \frac{1}{2})

$26 \div (\frac{6 \cdot 2}{2} + \frac{1}{2})$

Step 1.2.3

Combine the numerators over the common denominator.

26 \div \frac{6 \cdot 2 + 1}{2}

$26 \div \frac{6 \cdot 2 + 1}{2}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

6

$6$ by

2

$2$ .

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

$26 \div \frac{12 + 1}{2}$

Step 1.2.4.2

Add

12

$12$ and

1

$1$ .

26 \div \frac{13}{2}

$26 \div \frac{13}{2}$

26 \div \frac{13}{2}

$26 \div \frac{13}{2}$

26 \div \frac{13}{2}

$26 \div \frac{13}{2}$

26 \div \frac{13}{2}

$26 \div \frac{13}{2}$

Step 2

To divide by a fraction, multiply by its reciprocal.

26 (\frac{2}{13})

$26 (\frac{2}{13})$

Step 3

Cancel the common factor of

13

$13$ .

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Step 3.1

Factor

13

$13$ out of

26

$26$ .

13 (2) \frac{2}{13}

$13 (2) \frac{2}{13}$

Step 3.2

Cancel the common factor.

$13 \cdot 2 \frac{2}{13}$

Step 3.3

Rewrite the expression.

$2 \cdot 2$

Step 4

Multiply

$2$ by

$2$ .

$4$