Basic Math Examples

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

$10 \div 4 \frac{2}{3}$

Step 1

Convert

4 \frac{2}{3}

$4 \frac{2}{3}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

10 \div (4 + \frac{2}{3})

$10 \div (4 + \frac{2}{3})$

Step 1.2

Add

4

$4$ and

\frac{2}{3}

$\frac{2}{3}$ .

Tap for more steps...

Step 1.2.1

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

10 \div (4 \cdot \frac{3}{3} + \frac{2}{3})

$10 \div (4 \cdot \frac{3}{3} + \frac{2}{3})$

Step 1.2.2

Combine

4

$4$ and

\frac{3}{3}

$\frac{3}{3}$ .

10 \div (\frac{4 \cdot 3}{3} + \frac{2}{3})

$10 \div (\frac{4 \cdot 3}{3} + \frac{2}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

10 \div \frac{4 \cdot 3 + 2}{3}

$10 \div \frac{4 \cdot 3 + 2}{3}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

4

$4$ by

3

$3$ .

10 \div \frac{12 + 2}{3}

$10 \div \frac{12 + 2}{3}$

Step 1.2.4.2

Add

12

$12$ and

2

$2$ .

10 \div \frac{14}{3}

$10 \div \frac{14}{3}$

10 \div \frac{14}{3}

$10 \div \frac{14}{3}$

10 \div \frac{14}{3}

$10 \div \frac{14}{3}$

10 \div \frac{14}{3}

$10 \div \frac{14}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

10 (\frac{3}{14})

$10 (\frac{3}{14})$

Step 3

Cancel the common factor of

2

$2$ .

Tap for more steps...

Step 3.1

Factor

2

$2$ out of

10

$10$ .

2 (5) \frac{3}{14}

$2 (5) \frac{3}{14}$

Step 3.2

Factor

2

$2$ out of

14

$14$ .

2 \cdot 5 \frac{3}{2 \cdot 7}

$2 \cdot 5 \frac{3}{2 \cdot 7}$

Step 3.3

Cancel the common factor.

$2 \cdot 5 \frac{3}{2 \cdot 7}$

Step 3.4

Rewrite the expression.

$5 (\frac{3}{7})$

Step 4

Combine

$5$ and

$\frac{3}{7}$ .

$\frac{5 \cdot 3}{7}$

Step 5

Multiply

$5$ by

$3$ .

$\frac{15}{7}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{15}{7}$

Decimal Form:

$2.\overline{142857}$

Mixed Number Form:

$2 \frac{1}{7}$