Basic Math Examples

8 \frac{4}{10}

$8 \frac{4}{10}$

Step 1

Convert

8 \frac{4}{10}

$8 \frac{4}{10}$ to an improper fraction.

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Step 1.1

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

8 + \frac{4}{10}

$8 + \frac{4}{10}$

Step 1.2

Add

8

$8$ and

\frac{4}{10}

$\frac{4}{10}$ .

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Step 1.2.1

To write

8

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

\frac{10}{10}

$\frac{10}{10}$ .

8 \cdot \frac{10}{10} + \frac{4}{10}

$8 \cdot \frac{10}{10} + \frac{4}{10}$

Step 1.2.2

Combine

8

$8$ and

\frac{10}{10}

$\frac{10}{10}$ .

\frac{8 \cdot 10}{10} + \frac{4}{10}

$\frac{8 \cdot 10}{10} + \frac{4}{10}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{8 \cdot 10 + 4}{10}

$\frac{8 \cdot 10 + 4}{10}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

8

$8$ by

10

$10$ .

\frac{80 + 4}{10}

$\frac{80 + 4}{10}$

Step 1.2.4.2

Add

80

$80$ and

4

$4$ .

\frac{84}{10}

$\frac{84}{10}$

\frac{84}{10}

$\frac{84}{10}$

\frac{84}{10}

$\frac{84}{10}$

\frac{84}{10}

$\frac{84}{10}$

Step 2

Cancel the common factor of

84

$84$ and

10

$10$ .

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Step 2.1

Factor

2

$2$ out of

84

$84$ .

\frac{2 (42)}{10}

$\frac{2 (42)}{10}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 \cdot 42}{2 \cdot 5}

$\frac{2 \cdot 42}{2 \cdot 5}$

Step 2.2.2

Cancel the common factor.

$\frac{2 \cdot 42}{2 \cdot 5}$

Step 2.2.3

Rewrite the expression.

$\frac{42}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{42}{5}$

Decimal Form:

$8.4$

Mixed Number Form:

$8 \frac{2}{5}$