Basic Math Examples

4 \frac{7}{9}

$4 \frac{7}{9}$

Step 1

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

4 + \frac{7}{9}

$4 + \frac{7}{9}$

Step 2

Add

4

$4$ and

\frac{7}{9}

$\frac{7}{9}$ .

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Step 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{7}{9}

$4 \cdot \frac{9}{9} + \frac{7}{9}$

Step 2.2

Combine

4

$4$ and

\frac{9}{9}

$\frac{9}{9}$ .

\frac{4 \cdot 9}{9} + \frac{7}{9}

$\frac{4 \cdot 9}{9} + \frac{7}{9}$

Step 2.3

Combine the numerators over the common denominator.

\frac{4 \cdot 9 + 7}{9}

$\frac{4 \cdot 9 + 7}{9}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

4

$4$ by

9

$9$ .

\frac{36 + 7}{9}

$\frac{36 + 7}{9}$

Step 2.4.2

Add

36

$36$ and

7

$7$ .

\frac{43}{9}

$\frac{43}{9}$

\frac{43}{9}

$\frac{43}{9}$

\frac{43}{9}

$\frac{43}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{43}{9}

$\frac{43}{9}$

Decimal Form:

4. ¯ 7

$4.\overline{7}$

Mixed Number Form:

4 \frac{7}{9}

$4 \frac{7}{9}$