Basic Math Examples

\frac{5}{14} - \frac{2}{21}

$\frac{5}{14} - \frac{2}{21}$

Step 1

To write

\frac{5}{14}

$\frac{5}{14}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{5}{14} \cdot \frac{3}{3} - \frac{2}{21}

$\frac{5}{14} \cdot \frac{3}{3} - \frac{2}{21}$

Step 2

To write

- \frac{2}{21}

$- \frac{2}{21}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{5}{14} \cdot \frac{3}{3} - \frac{2}{21} \cdot \frac{2}{2}

$\frac{5}{14} \cdot \frac{3}{3} - \frac{2}{21} \cdot \frac{2}{2}$

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}{14}

$\frac{5}{14}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{5 \cdot 3}{14 \cdot 3} - \frac{2}{21} \cdot \frac{2}{2}

$\frac{5 \cdot 3}{14 \cdot 3} - \frac{2}{21} \cdot \frac{2}{2}$

Step 3.2

Multiply

14

$14$ by

3

$3$ .

\frac{5 \cdot 3}{42} - \frac{2}{21} \cdot \frac{2}{2}

$\frac{5 \cdot 3}{42} - \frac{2}{21} \cdot \frac{2}{2}$

Step 3.3

Multiply

\frac{2}{21}

$\frac{2}{21}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{5 \cdot 3}{42} - \frac{2 \cdot 2}{21 \cdot 2}

$\frac{5 \cdot 3}{42} - \frac{2 \cdot 2}{21 \cdot 2}$

Step 3.4

Multiply

21

$21$ by

2

$2$ .

\frac{5 \cdot 3}{42} - \frac{2 \cdot 2}{42}

$\frac{5 \cdot 3}{42} - \frac{2 \cdot 2}{42}$

\frac{5 \cdot 3}{42} - \frac{2 \cdot 2}{42}

$\frac{5 \cdot 3}{42} - \frac{2 \cdot 2}{42}$

Step 4

Combine the numerators over the common denominator.

\frac{5 \cdot 3 - 2 \cdot 2}{42}

$\frac{5 \cdot 3 - 2 \cdot 2}{42}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

5

$5$ by

3

$3$ .

\frac{15 - 2 \cdot 2}{42}

$\frac{15 - 2 \cdot 2}{42}$

Step 5.2

Multiply

- 2

$- 2$ by

2

$2$ .

\frac{15 - 4}{42}

$\frac{15 - 4}{42}$

Step 5.3

Subtract

4

$4$ from

15

$15$ .

\frac{11}{42}

$\frac{11}{42}$

\frac{11}{42}

$\frac{11}{42}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{11}{42}

$\frac{11}{42}$

Decimal Form:

0.2 ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 619047

$0.2\overline{619047}$