Basic Math Examples

6 \cdot 8 \frac{8}{9}

$6 \cdot 8 \frac{8}{9}$

Step 1

Convert

8 \frac{8}{9}

$8 \frac{8}{9}$ to an improper fraction.

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Step 1.1

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

6 \cdot (8 + \frac{8}{9})

$6 \cdot (8 + \frac{8}{9})$

Step 1.2

Add

8

$8$ and

\frac{8}{9}

$\frac{8}{9}$ .

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Step 1.2.1

To write

8

$8$ as a fraction with a common denominator, multiply by

\frac{9}{9}

$\frac{9}{9}$ .

6 \cdot (8 \cdot \frac{9}{9} + \frac{8}{9})

$6 \cdot (8 \cdot \frac{9}{9} + \frac{8}{9})$

Step 1.2.2

Combine

8

$8$ and

\frac{9}{9}

$\frac{9}{9}$ .

6 \cdot (\frac{8 \cdot 9}{9} + \frac{8}{9})

$6 \cdot (\frac{8 \cdot 9}{9} + \frac{8}{9})$

Step 1.2.3

Combine the numerators over the common denominator.

6 \cdot \frac{8 \cdot 9 + 8}{9}

$6 \cdot \frac{8 \cdot 9 + 8}{9}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

8

$8$ by

9

$9$ .

6 \cdot \frac{72 + 8}{9}

$6 \cdot \frac{72 + 8}{9}$

Step 1.2.4.2

Add

72

$72$ and

8

$8$ .

6 \cdot \frac{80}{9}

$6 \cdot \frac{80}{9}$

6 \cdot \frac{80}{9}

$6 \cdot \frac{80}{9}$

6 \cdot \frac{80}{9}

$6 \cdot \frac{80}{9}$

6 \cdot \frac{80}{9}

$6 \cdot \frac{80}{9}$

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Factor

3

$3$ out of

6

$6$ .

3 (2) \cdot \frac{80}{9}

$3 (2) \cdot \frac{80}{9}$

Step 2.2

Factor

3

$3$ out of

9

$9$ .

3 \cdot 2 \cdot \frac{80}{3 \cdot 3}

$3 \cdot 2 \cdot \frac{80}{3 \cdot 3}$

Step 2.3

Cancel the common factor.

$3 \cdot 2 \cdot \frac{80}{3 \cdot 3}$

Step 2.4

Rewrite the expression.

$2 \cdot \frac{80}{3}$

Step 3

Combine

$2$ and

$\frac{80}{3}$ .

$\frac{2 \cdot 80}{3}$

Step 4

Multiply

$2$ by

$80$ .

$\frac{160}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{160}{3}$

Decimal Form:

$53.\overline{3}$

Mixed Number Form:

$53 \frac{1}{3}$