Basic Math Examples

$(\frac{5}{6} - \frac{1}{2}) \div \frac{8}{11}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$(\frac{5}{6} - \frac{1}{2}) \frac{11}{8}$

Step 2

To write $- \frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(\frac{5}{6} - \frac{1}{2} \cdot \frac{3}{3}) \frac{11}{8}$

Step 3

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

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

$(\frac{5}{6} - \frac{3}{2 \cdot 3}) \frac{11}{8}$

Step 3.2

Multiply $2$ by $3$ .

$(\frac{5}{6} - \frac{3}{6}) \frac{11}{8}$

Step 4

Simplify the expression.

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Step 4.1

Combine the numerators over the common denominator.

$\frac{5 - 3}{6} \cdot \frac{11}{8}$

Step 4.2

Subtract $3$ from $5$ .

$\frac{2}{6} \cdot \frac{11}{8}$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $8$ .

$\frac{2}{6} \cdot \frac{11}{2 (4)}$

Step 5.2

Cancel the common factor.

$\frac{2}{6} \cdot \frac{11}{2 \cdot 4}$

Step 5.3

Rewrite the expression.

$\frac{1}{6} \cdot \frac{11}{4}$

Step 6

Multiply $\frac{1}{6}$ by $\frac{11}{4}$ .

$\frac{11}{6 \cdot 4}$

Step 7

Multiply $6$ by $4$ .

$\frac{11}{24}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{24}$

Decimal Form:

$0.458\overline{3}$