Basic Math Examples

\frac{8}{13} - \frac{2}{7}

$\frac{8}{13} - \frac{2}{7}$

Step 1

To write

\frac{8}{13}

$\frac{8}{13}$ as a fraction with a common denominator, multiply by

\frac{7}{7}

$\frac{7}{7}$ .

\frac{8}{13} \cdot \frac{7}{7} - \frac{2}{7}

$\frac{8}{13} \cdot \frac{7}{7} - \frac{2}{7}$

Step 2

To write

- \frac{2}{7}

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

\frac{13}{13}

$\frac{13}{13}$ .

\frac{8}{13} \cdot \frac{7}{7} - \frac{2}{7} \cdot \frac{13}{13}

$\frac{8}{13} \cdot \frac{7}{7} - \frac{2}{7} \cdot \frac{13}{13}$

Step 3

Write each expression with a common denominator of

91

$91$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{8}{13}

$\frac{8}{13}$ by

\frac{7}{7}

$\frac{7}{7}$ .

\frac{8 \cdot 7}{13 \cdot 7} - \frac{2}{7} \cdot \frac{13}{13}

$\frac{8 \cdot 7}{13 \cdot 7} - \frac{2}{7} \cdot \frac{13}{13}$

Step 3.2

Multiply

13

$13$ by

7

$7$ .

\frac{8 \cdot 7}{91} - \frac{2}{7} \cdot \frac{13}{13}

$\frac{8 \cdot 7}{91} - \frac{2}{7} \cdot \frac{13}{13}$

Step 3.3

Multiply

\frac{2}{7}

$\frac{2}{7}$ by

\frac{13}{13}

$\frac{13}{13}$ .

\frac{8 \cdot 7}{91} - \frac{2 \cdot 13}{7 \cdot 13}

$\frac{8 \cdot 7}{91} - \frac{2 \cdot 13}{7 \cdot 13}$

Step 3.4

Multiply

7

$7$ by

13

$13$ .

\frac{8 \cdot 7}{91} - \frac{2 \cdot 13}{91}

$\frac{8 \cdot 7}{91} - \frac{2 \cdot 13}{91}$

\frac{8 \cdot 7}{91} - \frac{2 \cdot 13}{91}

$\frac{8 \cdot 7}{91} - \frac{2 \cdot 13}{91}$

Step 4

Combine the numerators over the common denominator.

\frac{8 \cdot 7 - 2 \cdot 13}{91}

$\frac{8 \cdot 7 - 2 \cdot 13}{91}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

8

$8$ by

7

$7$ .

\frac{56 - 2 \cdot 13}{91}

$\frac{56 - 2 \cdot 13}{91}$

Step 5.2

Multiply

- 2

$- 2$ by

13

$13$ .

\frac{56 - 26}{91}

$\frac{56 - 26}{91}$

Step 5.3

Subtract

26

$26$ from

56

$56$ .

\frac{30}{91}

$\frac{30}{91}$

\frac{30}{91}

$\frac{30}{91}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{30}{91}

$\frac{30}{91}$

Decimal Form:

0. ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 329670

$0.\overline{329670}$