Basic Math Examples

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

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

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}))

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

Step 1.1.2

Cancel the common factor of

7

$7$ .

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Step 1.1.2.1

Factor

7

$7$ out of

14

$14$ .

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

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

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:

$0.4$