Pre-Algebra Examples

$\frac{9}{5} - (- \frac{6}{10})$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $6$ and $10$ .

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Step 1.1.1

Factor $2$ out of $6$ .

$\frac{9}{5} - - \frac{2 (3)}{10}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $10$ .

$\frac{9}{5} - - \frac{2 \cdot 3}{2 \cdot 5}$

Step 1.1.2.2

Cancel the common factor.

$\frac{9}{5} - - \frac{2 \cdot 3}{2 \cdot 5}$

Step 1.1.2.3

Rewrite the expression.

$\frac{9}{5} - - \frac{3}{5}$

$\frac{9}{5} - - \frac{3}{5}$

$\frac{9}{5} - - \frac{3}{5}$

Step 1.2

Multiply $- - \frac{3}{5}$ .

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Step 1.2.1

Multiply $- 1$ by $- 1$ .

$\frac{9}{5} + 1 (\frac{3}{5})$

Step 1.2.2

Multiply $\frac{3}{5}$ by $1$ .

$\frac{9}{5} + \frac{3}{5}$

$\frac{9}{5} + \frac{3}{5}$

$\frac{9}{5} + \frac{3}{5}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{9 + 3}{5}$

Step 2.2

Add $9$ and $3$ .

$\frac{12}{5}$

$\frac{12}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{12}{5}$

Decimal Form:

$2.4$

Mixed Number Form:

$2 \frac{2}{5}$

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