Basic Math Examples

$\frac{1}{2} - (\frac{1}{5} - 0.3)$

Step 1

Simplify each term.

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Step 1.1

To write $- 0.3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{1}{2} - (\frac{1}{5} - 0.3 \cdot \frac{5}{5})$

Step 1.2

Combine $- 0.3$ and $\frac{5}{5}$ .

$\frac{1}{2} - (\frac{1}{5} + \frac{- 0.3 \cdot 5}{5})$

Step 1.3

Combine the numerators over the common denominator.

$\frac{1}{2} - \frac{1 - 0.3 \cdot 5}{5}$

Step 1.4

Simplify the numerator.

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Step 1.4.1

Multiply $- 0.3$ by $5$ .

$\frac{1}{2} - \frac{1 - 1.5}{5}$

Step 1.4.2

Subtract $1.5$ from $1$ .

$\frac{1}{2} - \frac{- 0.5}{5}$

Step 1.5

Divide $- 0.5$ by $5$ .

$\frac{1}{2} - - 0.1$

Step 1.6

Multiply $- 1$ by $- 0.1$ .

$\frac{1}{2} + 0.1$

Step 2

To write $0.1$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{2} + 0.1 \cdot \frac{2}{2}$

Step 3

Combine fractions.

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Step 3.1

Combine $0.1$ and $\frac{2}{2}$ .

$\frac{1}{2} + \frac{0.1 \cdot 2}{2}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{1 + 0.1 \cdot 2}{2}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $0.1$ by $2$ .

$\frac{1 + 0.2}{2}$

Step 4.2

Add $1$ and $0.2$ .

$\frac{1.2}{2}$

Step 5

Divide $1.2$ by $2$ .

$0.6$