Basic Math Examples

\frac{6}{7} - \frac{2}{3}

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

Step 1

To write

\frac{6}{7}

$\frac{6}{7}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 2

To write

- \frac{2}{3}

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

\frac{7}{7}

$\frac{7}{7}$ .

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

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

Step 3

Write each expression with a common denominator of

21

$21$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{6}{7}

$\frac{6}{7}$ by

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 3.2

Multiply

7

$7$ by

3

$3$ .

\frac{6 \cdot 3}{21} - \frac{2}{3} \cdot \frac{7}{7}

$\frac{6 \cdot 3}{21} - \frac{2}{3} \cdot \frac{7}{7}$

Step 3.3

Multiply

\frac{2}{3}

$\frac{2}{3}$ by

\frac{7}{7}

$\frac{7}{7}$ .

\frac{6 \cdot 3}{21} - \frac{2 \cdot 7}{3 \cdot 7}

$\frac{6 \cdot 3}{21} - \frac{2 \cdot 7}{3 \cdot 7}$

Step 3.4

Multiply

3

$3$ by

7

$7$ .

\frac{6 \cdot 3}{21} - \frac{2 \cdot 7}{21}

$\frac{6 \cdot 3}{21} - \frac{2 \cdot 7}{21}$

\frac{6 \cdot 3}{21} - \frac{2 \cdot 7}{21}

$\frac{6 \cdot 3}{21} - \frac{2 \cdot 7}{21}$

Step 4

Combine the numerators over the common denominator.

\frac{6 \cdot 3 - 2 \cdot 7}{21}

$\frac{6 \cdot 3 - 2 \cdot 7}{21}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

6

$6$ by

3

$3$ .

\frac{18 - 2 \cdot 7}{21}

$\frac{18 - 2 \cdot 7}{21}$

Step 5.2

Multiply

- 2

$- 2$ by

7

$7$ .

\frac{18 - 14}{21}

$\frac{18 - 14}{21}$

Step 5.3

Subtract

14

$14$ from

18

$18$ .

\frac{4}{21}

$\frac{4}{21}$

\frac{4}{21}

$\frac{4}{21}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{4}{21}

$\frac{4}{21}$

Decimal Form:

0.\overline{190476}

$0.\overline{190476}$