Basic Math Examples

4 \frac{6}{9}

$4 \frac{6}{9}$

Step 1

Convert

4 \frac{6}{9}

$4 \frac{6}{9}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

4 + \frac{6}{9}

$4 + \frac{6}{9}$

Step 1.2

Add

4

$4$ and

\frac{6}{9}

$\frac{6}{9}$ .

Tap for more steps...

Step 1.2.1

To write

4

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

\frac{9}{9}

$\frac{9}{9}$ .

4 \cdot \frac{9}{9} + \frac{6}{9}

$4 \cdot \frac{9}{9} + \frac{6}{9}$

Step 1.2.2

Combine

4

$4$ and

\frac{9}{9}

$\frac{9}{9}$ .

\frac{4 \cdot 9}{9} + \frac{6}{9}

$\frac{4 \cdot 9}{9} + \frac{6}{9}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{4 \cdot 9 + 6}{9}

$\frac{4 \cdot 9 + 6}{9}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

4

$4$ by

9

$9$ .

\frac{36 + 6}{9}

$\frac{36 + 6}{9}$

Step 1.2.4.2

Add

36

$36$ and

6

$6$ .

\frac{42}{9}

$\frac{42}{9}$

\frac{42}{9}

$\frac{42}{9}$

\frac{42}{9}

$\frac{42}{9}$

\frac{42}{9}

$\frac{42}{9}$

Step 2

Cancel the common factor of

42

$42$ and

9

$9$ .

Tap for more steps...

Step 2.1

Factor

3

$3$ out of

42

$42$ .

\frac{3 (14)}{9}

$\frac{3 (14)}{9}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor

3

$3$ out of

9

$9$ .

\frac{3 \cdot 14}{3 \cdot 3}

$\frac{3 \cdot 14}{3 \cdot 3}$

Step 2.2.2

Cancel the common factor.

$\frac{3 \cdot 14}{3 \cdot 3}$

Step 2.2.3

Rewrite the expression.

$\frac{14}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{14}{3}$

Decimal Form:

$4.\overline{6}$

Mixed Number Form:

$4 \frac{2}{3}$