Basic Math Examples

$\frac{2}{3} \div \frac{4}{7} - \frac{5}{6}$

Step 1

Simplify each term.

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Step 1.1

To divide by a fraction, multiply by its reciprocal.

$\frac{2}{3} \cdot \frac{7}{4} - \frac{5}{6}$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Factor $2$ out of $4$ .

$\frac{2}{3} \cdot \frac{7}{2 (2)} - \frac{5}{6}$

Step 1.2.2

Cancel the common factor.

$\frac{2}{3} \cdot \frac{7}{2 \cdot 2} - \frac{5}{6}$

Step 1.2.3

Rewrite the expression.

$\frac{1}{3} \cdot \frac{7}{2} - \frac{5}{6}$

Step 1.3

Multiply $\frac{1}{3}$ by $\frac{7}{2}$ .

$\frac{7}{3 \cdot 2} - \frac{5}{6}$

Step 1.4

Multiply $3$ by $2$ .

$\frac{7}{6} - \frac{5}{6}$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{7 - 5}{6}$

Step 2.2

Subtract $5$ from $7$ .

$\frac{2}{6}$

Step 2.3

Cancel the common factor of $2$ and $6$ .

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Step 2.3.1

Factor $2$ out of $2$ .

$\frac{2 (1)}{6}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot 1}{2 \cdot 3}$

Step 2.3.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 3}$

Step 2.3.2.3

Rewrite the expression.

$\frac{1}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$