Basic Math Examples

$(- \frac{5}{8} - (- \frac{2}{5})) - (\frac{3}{2} - \frac{11}{10})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Multiply $- (- \frac{2}{5})$ .

Tap for more steps...

Step 1.1.1

Multiply $- 1$ by $- 1$ .

$- \frac{5}{8} + 1 (\frac{2}{5}) - (\frac{3}{2} - \frac{11}{10})$

Step 1.1.2

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

$- \frac{5}{8} + \frac{2}{5} - (\frac{3}{2} - \frac{11}{10})$

Step 1.2

To write $\frac{3}{2}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- \frac{5}{8} + \frac{2}{5} - (\frac{3}{2} \cdot \frac{5}{5} - \frac{11}{10})$

Step 1.3

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

Tap for more steps...

Step 1.3.1

Multiply $\frac{3}{2}$ by $\frac{5}{5}$ .

$- \frac{5}{8} + \frac{2}{5} - (\frac{3 \cdot 5}{2 \cdot 5} - \frac{11}{10})$

Step 1.3.2

Multiply $2$ by $5$ .

$- \frac{5}{8} + \frac{2}{5} - (\frac{3 \cdot 5}{10} - \frac{11}{10})$

Step 1.4

Combine the numerators over the common denominator.

$- \frac{5}{8} + \frac{2}{5} - \frac{3 \cdot 5 - 11}{10}$

Step 1.5

Simplify the numerator.

Tap for more steps...

Step 1.5.1

Multiply $3$ by $5$ .

$- \frac{5}{8} + \frac{2}{5} - \frac{15 - 11}{10}$

Step 1.5.2

Subtract $11$ from $15$ .

$- \frac{5}{8} + \frac{2}{5} - \frac{4}{10}$

Step 1.6

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

Tap for more steps...

Step 1.6.1

Factor $2$ out of $4$ .

$- \frac{5}{8} + \frac{2}{5} - \frac{2 (2)}{10}$

Step 1.6.2

Cancel the common factors.

Tap for more steps...

Step 1.6.2.1

Factor $2$ out of $10$ .

$- \frac{5}{8} + \frac{2}{5} - \frac{2 \cdot 2}{2 \cdot 5}$

Step 1.6.2.2

Cancel the common factor.

$- \frac{5}{8} + \frac{2}{5} - \frac{2 \cdot 2}{2 \cdot 5}$

Step 1.6.2.3

Rewrite the expression.

$- \frac{5}{8} + \frac{2}{5} - \frac{2}{5}$

Step 2

Combine fractions.

Tap for more steps...

Step 2.1

Combine the numerators over the common denominator.

$\frac{- 5}{8} + \frac{2 - 2}{5}$

Step 2.2

Subtract $2$ from $2$ .

$\frac{- 5}{8} + \frac{0}{5}$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Move the negative in front of the fraction.

$- \frac{5}{8} + \frac{0}{5}$

Step 3.2

Divide $0$ by $5$ .

$- \frac{5}{8} + 0$

Step 4

Add $- \frac{5}{8}$ and $0$ .

$- \frac{5}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{8}$

Decimal Form:

$- 0.625$