Basic Math Examples

$(\frac{2}{8} + \frac{1}{3}) \div \frac{6}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$(\frac{2}{8} + \frac{1}{3}) \frac{5}{6}$

Step 2

Cancel the common factor of $2$ and $8$ .

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Step 2.1

Factor $2$ out of $2$ .

$(\frac{2 (1)}{8} + \frac{1}{3}) \frac{5}{6}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $8$ .

$(\frac{2 \cdot 1}{2 \cdot 4} + \frac{1}{3}) \frac{5}{6}$

Step 2.2.2

Cancel the common factor.

$(\frac{2 \cdot 1}{2 \cdot 4} + \frac{1}{3}) \frac{5}{6}$

Step 2.2.3

Rewrite the expression.

$(\frac{1}{4} + \frac{1}{3}) \frac{5}{6}$

Step 3

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(\frac{1}{4} \cdot \frac{3}{3} + \frac{1}{3}) \frac{5}{6}$

Step 4

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$(\frac{1}{4} \cdot \frac{3}{3} + \frac{1}{3} \cdot \frac{4}{4}) \frac{5}{6}$

Step 5

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 5.1

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

$(\frac{3}{4 \cdot 3} + \frac{1}{3} \cdot \frac{4}{4}) \frac{5}{6}$

Step 5.2

Multiply $4$ by $3$ .

$(\frac{3}{12} + \frac{1}{3} \cdot \frac{4}{4}) \frac{5}{6}$

Step 5.3

Multiply $\frac{1}{3}$ by $\frac{4}{4}$ .

$(\frac{3}{12} + \frac{4}{3 \cdot 4}) \frac{5}{6}$

Step 5.4

Multiply $3$ by $4$ .

$(\frac{3}{12} + \frac{4}{12}) \frac{5}{6}$

Step 6

Combine the numerators over the common denominator.

$\frac{3 + 4}{12} \cdot \frac{5}{6}$

Step 7

Add $3$ and $4$ .

$\frac{7}{12} \cdot \frac{5}{6}$

Step 8

Multiply $\frac{7}{12} \cdot \frac{5}{6}$ .

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Step 8.1

Multiply $\frac{7}{12}$ by $\frac{5}{6}$ .

$\frac{7 \cdot 5}{12 \cdot 6}$

Step 8.2

Multiply $7$ by $5$ .

$\frac{35}{12 \cdot 6}$

Step 8.3

Multiply $12$ by $6$ .

$\frac{35}{72}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{35}{72}$

Decimal Form:

$0.486\overline{1}$