Basic Math Examples

\frac{6}{21} - \frac{5}{7}

$\frac{6}{21} - \frac{5}{7}$

Step 1

Cancel the common factor of

6

$6$ and

21

$21$ .

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Step 1.1

Factor

3

$3$ out of

6

$6$ .

\frac{3 (2)}{21} - \frac{5}{7}

$\frac{3 (2)}{21} - \frac{5}{7}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

3

$3$ out of

21

$21$ .

\frac{3 \cdot 2}{3 \cdot 7} - \frac{5}{7}

$\frac{3 \cdot 2}{3 \cdot 7} - \frac{5}{7}$

Step 1.2.2

Cancel the common factor.

\frac{3 \cdot 2}{3 \cdot 7} - \frac{5}{7}

$\frac{3 \cdot 2}{3 \cdot 7} - \frac{5}{7}$

Step 1.2.3

Rewrite the expression.

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

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

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

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

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

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

Step 2

Combine the numerators over the common denominator.

\frac{2 - 5}{7}

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

Step 3

Simplify the expression.

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Step 3.1

Subtract

5

$5$ from

2

$2$ .

\frac{- 3}{7}

$\frac{- 3}{7}$

Step 3.2

Move the negative in front of the fraction.

- \frac{3}{7}

$- \frac{3}{7}$

- \frac{3}{7}

$- \frac{3}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

- \frac{3}{7}

$- \frac{3}{7}$

Decimal Form:

- 0. ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 428571

$- 0.\overline{428571}$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$