Basic Math Examples

2 \frac{6}{7} \div 10

$2 \frac{6}{7} \div 10$

Step 1

Convert

2 \frac{6}{7}

$2 \frac{6}{7}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

(2 + \frac{6}{7}) \div 10

$(2 + \frac{6}{7}) \div 10$

Step 1.2

Add

2

$2$ and

\frac{6}{7}

$\frac{6}{7}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{7}{7}

$\frac{7}{7}$ .

(2 \cdot \frac{7}{7} + \frac{6}{7}) \div 10

$(2 \cdot \frac{7}{7} + \frac{6}{7}) \div 10$

Step 1.2.2

Combine

2

$2$ and

\frac{7}{7}

$\frac{7}{7}$ .

(\frac{2 \cdot 7}{7} + \frac{6}{7}) \div 10

$(\frac{2 \cdot 7}{7} + \frac{6}{7}) \div 10$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 7 + 6}{7} \div 10

$\frac{2 \cdot 7 + 6}{7} \div 10$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

7

$7$ .

\frac{14 + 6}{7} \div 10

$\frac{14 + 6}{7} \div 10$

Step 1.2.4.2

Add

14

$14$ and

6

$6$ .

\frac{20}{7} \div 10

$\frac{20}{7} \div 10$

\frac{20}{7} \div 10

$\frac{20}{7} \div 10$

\frac{20}{7} \div 10

$\frac{20}{7} \div 10$

\frac{20}{7} \div 10

$\frac{20}{7} \div 10$

Step 2

Rewrite the division as a fraction.

\frac{\frac{20}{7}}{10}

$\frac{\frac{20}{7}}{10}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

\frac{20}{7} \cdot \frac{1}{10}

$\frac{20}{7} \cdot \frac{1}{10}$

Step 4

Cancel the common factor of

10

$10$ .

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Step 4.1

Factor

10

$10$ out of

20

$20$ .

\frac{10 (2)}{7} \cdot \frac{1}{10}

$\frac{10 (2)}{7} \cdot \frac{1}{10}$

Step 4.2

Cancel the common factor.

$\frac{10 \cdot 2}{7} \cdot \frac{1}{10}$

Step 4.3

Rewrite the expression.

$\frac{2}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{7}$

Decimal Form:

$0.\overline{285714}$