Basic Math Examples

(\frac{2}{5}) + 0.4

$(\frac{2}{5}) + 0.4$

Step 1

To write

0.4

$0.4$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{2}{5} + 0.4 \cdot \frac{5}{5}

$\frac{2}{5} + 0.4 \cdot \frac{5}{5}$

Step 2

Combine

0.4

$0.4$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{2}{5} + \frac{0.4 \cdot 5}{5}

$\frac{2}{5} + \frac{0.4 \cdot 5}{5}$

Step 3

Combine the numerators over the common denominator.

\frac{2 + 0.4 \cdot 5}{5}

$\frac{2 + 0.4 \cdot 5}{5}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

0.4

$0.4$ by

5

$5$ .

\frac{2 + 2}{5}

$\frac{2 + 2}{5}$

Step 4.2

Add

2

$2$ and

2

$2$ .

\frac{4}{5}

$\frac{4}{5}$

\frac{4}{5}

$\frac{4}{5}$

Step 5

Cancel the common factor of

4

$4$ and

5

$5$ .

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Step 5.1

Rewrite

4

$4$ as

1 (4)

$1 (4)$ .

\frac{1 (4)}{5}

$\frac{1 (4)}{5}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Rewrite

5

$5$ as

1 (5)

$1 (5)$ .

\frac{1 \cdot 4}{1 \cdot 5}

$\frac{1 \cdot 4}{1 \cdot 5}$

Step 5.2.2

Cancel the common factor.

$\frac{1 \cdot 4}{1 \cdot 5}$

Step 5.2.3

Rewrite the expression.

$\frac{4}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{5}$

Decimal Form:

$0.8$