Basic Math Examples

$\frac{4}{10} + \frac{75}{100} - \frac{35}{100}$

Step 1

Combine fractions.

Tap for more steps...

Step 1.1

Combine the numerators over the common denominator.

$\frac{4}{10} + \frac{75 - 35}{100}$

Step 1.2

Subtract $35$ from $75$ .

$\frac{4}{10} + \frac{40}{100}$

$\frac{4}{10} + \frac{40}{100}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Cancel the common factor of $4$ and $10$ .

Tap for more steps...

Step 2.1.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{10} + \frac{40}{100}$

Step 2.1.2

Cancel the common factors.

Tap for more steps...

Step 2.1.2.1

Factor $2$ out of $10$ .

$\frac{2 \cdot 2}{2 \cdot 5} + \frac{40}{100}$

Step 2.1.2.2

Cancel the common factor.

$\frac{2 \cdot 2}{2 \cdot 5} + \frac{40}{100}$

Step 2.1.2.3

Rewrite the expression.

$\frac{2}{5} + \frac{40}{100}$

$\frac{2}{5} + \frac{40}{100}$

$\frac{2}{5} + \frac{40}{100}$

Step 2.2

Cancel the common factor of $40$ and $100$ .

Tap for more steps...

Step 2.2.1

Factor $20$ out of $40$ .

$\frac{2}{5} + \frac{20 (2)}{100}$

Step 2.2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.2.1

Factor $20$ out of $100$ .

$\frac{2}{5} + \frac{20 \cdot 2}{20 \cdot 5}$

Step 2.2.2.2

Cancel the common factor.

$\frac{2}{5} + \frac{20 \cdot 2}{20 \cdot 5}$

Step 2.2.2.3

Rewrite the expression.

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

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

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

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

Step 3

Combine fractions.

Tap for more steps...

Step 3.1

Combine the numerators over the common denominator.

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

Step 3.2

Add $2$ and $2$ .

$\frac{4}{5}$

$\frac{4}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{5}$

Decimal Form:

$0.8$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$