Basic Math Examples

$- \frac{5}{7} + \frac{6}{7} \div \frac{2}{9}$

Step 1

Simplify each term.

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Step 1.1

To divide by a fraction, multiply by its reciprocal.

$- \frac{5}{7} + \frac{6}{7} \cdot \frac{9}{2}$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Factor $2$ out of $6$ .

$- \frac{5}{7} + \frac{2 (3)}{7} \cdot \frac{9}{2}$

Step 1.2.2

Cancel the common factor.

$- \frac{5}{7} + \frac{2 \cdot 3}{7} \cdot \frac{9}{2}$

Step 1.2.3

Rewrite the expression.

$- \frac{5}{7} + \frac{3}{7} \cdot 9$

Step 1.3

Combine $\frac{3}{7}$ and $9$ .

$- \frac{5}{7} + \frac{3 \cdot 9}{7}$

Step 1.4

Multiply $3$ by $9$ .

$- \frac{5}{7} + \frac{27}{7}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{- 5 + 27}{7}$

Step 2.2

Add $- 5$ and $27$ .

$\frac{22}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{22}{7}$

Decimal Form:

$3.\overline{142857}$

Mixed Number Form:

$3 \frac{1}{7}$