Basic Math Examples

$\frac{2}{5} + \frac{3}{5} \cdot (2 - \frac{14}{5} \div \frac{7}{5})$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

To divide by a fraction, multiply by its reciprocal.

$\frac{2}{5} + \frac{3}{5} \cdot (2 - (\frac{14}{5} \cdot \frac{5}{7}))$

Step 1.1.2

Cancel the common factor of $7$ .

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Step 1.1.2.1

Factor $7$ out of $14$ .

$\frac{2}{5} + \frac{3}{5} \cdot (2 - (\frac{7 (2)}{5} \cdot \frac{5}{7}))$

Step 1.1.2.2

Cancel the common factor.

$\frac{2}{5} + \frac{3}{5} \cdot (2 - (\frac{7 \cdot 2}{5} \cdot \frac{5}{7}))$

Step 1.1.2.3

Rewrite the expression.

$\frac{2}{5} + \frac{3}{5} \cdot (2 - (\frac{2}{5} \cdot 5))$

Step 1.1.3

Cancel the common factor of $5$ .

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Step 1.1.3.1

Cancel the common factor.

$\frac{2}{5} + \frac{3}{5} \cdot (2 - (\frac{2}{5} \cdot 5))$

Step 1.1.3.2

Rewrite the expression.

$\frac{2}{5} + \frac{3}{5} \cdot (2 - 1 \cdot 2)$

Step 1.1.4

Multiply $- 1$ by $2$ .

$\frac{2}{5} + \frac{3}{5} \cdot (2 - 2)$

Step 1.2

Subtract $2$ from $2$ .

$\frac{2}{5} + \frac{3}{5} \cdot 0$

Step 1.3

Multiply $\frac{3}{5}$ by $0$ .

$\frac{2}{5} + 0$

Step 2

Add $\frac{2}{5}$ and $0$ .

$\frac{2}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{5}$

Decimal Form:

$0.4$