Basic Math Examples

\frac{5}{6} - \frac{2}{7}

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

Step 1

To write

\frac{5}{6}

$\frac{5}{6}$ as a fraction with a common denominator, multiply by

\frac{7}{7}

$\frac{7}{7}$ .

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

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

Step 2

To write

- \frac{2}{7}

$- \frac{2}{7}$ as a fraction with a common denominator, multiply by

\frac{6}{6}

$\frac{6}{6}$ .

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

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

Step 3

Write each expression with a common denominator of

42

$42$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{5}{6}

$\frac{5}{6}$ by

\frac{7}{7}

$\frac{7}{7}$ .

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

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

Step 3.2

Multiply

6

$6$ by

7

$7$ .

\frac{5 \cdot 7}{42} - \frac{2}{7} \cdot \frac{6}{6}

$\frac{5 \cdot 7}{42} - \frac{2}{7} \cdot \frac{6}{6}$

Step 3.3

Multiply

\frac{2}{7}

$\frac{2}{7}$ by

\frac{6}{6}

$\frac{6}{6}$ .

\frac{5 \cdot 7}{42} - \frac{2 \cdot 6}{7 \cdot 6}

$\frac{5 \cdot 7}{42} - \frac{2 \cdot 6}{7 \cdot 6}$

Step 3.4

Multiply

7

$7$ by

6

$6$ .

\frac{5 \cdot 7}{42} - \frac{2 \cdot 6}{42}

$\frac{5 \cdot 7}{42} - \frac{2 \cdot 6}{42}$

\frac{5 \cdot 7}{42} - \frac{2 \cdot 6}{42}

$\frac{5 \cdot 7}{42} - \frac{2 \cdot 6}{42}$

Step 4

Combine the numerators over the common denominator.

\frac{5 \cdot 7 - 2 \cdot 6}{42}

$\frac{5 \cdot 7 - 2 \cdot 6}{42}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

5

$5$ by

7

$7$ .

\frac{35 - 2 \cdot 6}{42}

$\frac{35 - 2 \cdot 6}{42}$

Step 5.2

Multiply

- 2

$- 2$ by

6

$6$ .

\frac{35 - 12}{42}

$\frac{35 - 12}{42}$

Step 5.3

Subtract

12

$12$ from

35

$35$ .

\frac{23}{42}

$\frac{23}{42}$

\frac{23}{42}

$\frac{23}{42}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{23}{42}

$\frac{23}{42}$

Decimal Form:

0.5 ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 476190

$0.5\overline{476190}$