Basic Math Examples

$\frac{2}{5} - \frac{1}{4} \cdot \frac{2}{5}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $2$ .

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Step 1.1.1

Move the leading negative in $- \frac{1}{4}$ into the numerator.

$\frac{2}{5} + \frac{- 1}{4} \cdot \frac{2}{5}$

Step 1.1.2

Factor $2$ out of $4$ .

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

Step 1.1.3

Cancel the common factor.

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

Step 1.1.4

Rewrite the expression.

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

Step 1.2

Multiply $\frac{- 1}{2}$ by $\frac{1}{5}$ .

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

Step 1.3

Multiply $2$ by $5$ .

$\frac{2}{5} + \frac{- 1}{10}$

Step 1.4

Move the negative in front of the fraction.

$\frac{2}{5} - \frac{1}{10}$

Step 2

To write $\frac{2}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{2}{5} \cdot \frac{2}{2} - \frac{1}{10}$

Step 3

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{2}{5}$ by $\frac{2}{2}$ .

$\frac{2 \cdot 2}{5 \cdot 2} - \frac{1}{10}$

Step 3.2

Multiply $5$ by $2$ .

$\frac{2 \cdot 2}{10} - \frac{1}{10}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 2 - 1}{10}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $2$ by $2$ .

$\frac{4 - 1}{10}$

Step 5.2

Subtract $1$ from $4$ .

$\frac{3}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{10}$

Decimal Form:

$0.3$