Basic Math Examples

24 \div 2 \frac{2}{3}

$24 \div 2 \frac{2}{3}$

Step 1

Convert

2 \frac{2}{3}

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

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Step 1.1

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

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

$24 \div (2 + \frac{2}{3})$

Step 1.2

Add

2

$2$ and

\frac{2}{3}

$\frac{2}{3}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

24 \div (2 \cdot \frac{3}{3} + \frac{2}{3})

$24 \div (2 \cdot \frac{3}{3} + \frac{2}{3})$

Step 1.2.2

Combine

2

$2$ and

\frac{3}{3}

$\frac{3}{3}$ .

24 \div (\frac{2 \cdot 3}{3} + \frac{2}{3})

$24 \div (\frac{2 \cdot 3}{3} + \frac{2}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

24 \div \frac{2 \cdot 3 + 2}{3}

$24 \div \frac{2 \cdot 3 + 2}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

3

$3$ .

24 \div \frac{6 + 2}{3}

$24 \div \frac{6 + 2}{3}$

Step 1.2.4.2

Add

6

$6$ and

2

$2$ .

24 \div \frac{8}{3}

$24 \div \frac{8}{3}$

24 \div \frac{8}{3}

$24 \div \frac{8}{3}$

24 \div \frac{8}{3}

$24 \div \frac{8}{3}$

24 \div \frac{8}{3}

$24 \div \frac{8}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

24 (\frac{3}{8})

$24 (\frac{3}{8})$

Step 3

Cancel the common factor of

8

$8$ .

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Step 3.1

Factor

8

$8$ out of

24

$24$ .

8 (3) \frac{3}{8}

$8 (3) \frac{3}{8}$

Step 3.2

Cancel the common factor.

8 \cdot 3 \frac{3}{8}

$8 \cdot 3 \frac{3}{8}$

Step 3.3

Rewrite the expression.

3 \cdot 3

$3 \cdot 3$

3 \cdot 3

$3 \cdot 3$

Step 4

Multiply

3

$3$ by

3

$3$ .

9

$9$