Basic Math Examples

\frac{15}{26} - \frac{14}{13}

$\frac{15}{26} - \frac{14}{13}$

Step 1

To write

- \frac{14}{13}

$- \frac{14}{13}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{15}{26} - \frac{14}{13} \cdot \frac{2}{2}

$\frac{15}{26} - \frac{14}{13} \cdot \frac{2}{2}$

Step 2

Write each expression with a common denominator of

26

$26$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{14}{13}

$\frac{14}{13}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{15}{26} - \frac{14 \cdot 2}{13 \cdot 2}

$\frac{15}{26} - \frac{14 \cdot 2}{13 \cdot 2}$

Step 2.2

Multiply

13

$13$ by

2

$2$ .

\frac{15}{26} - \frac{14 \cdot 2}{26}

$\frac{15}{26} - \frac{14 \cdot 2}{26}$

\frac{15}{26} - \frac{14 \cdot 2}{26}

$\frac{15}{26} - \frac{14 \cdot 2}{26}$

Step 3

Combine the numerators over the common denominator.

\frac{15 - 14 \cdot 2}{26}

$\frac{15 - 14 \cdot 2}{26}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 14

$- 14$ by

2

$2$ .

\frac{15 - 28}{26}

$\frac{15 - 28}{26}$

Step 4.2

Subtract

28

$28$ from

15

$15$ .

\frac{- 13}{26}

$\frac{- 13}{26}$

\frac{- 13}{26}

$\frac{- 13}{26}$

Step 5

Cancel the common factor of

- 13

$- 13$ and

26

$26$ .

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Step 5.1

Factor

13

$13$ out of

- 13

$- 13$ .

\frac{13 (- 1)}{26}

$\frac{13 (- 1)}{26}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

13

$13$ out of

26

$26$ .

\frac{13 \cdot - 1}{13 \cdot 2}

$\frac{13 \cdot - 1}{13 \cdot 2}$

Step 5.2.2

Cancel the common factor.

$\frac{13 \cdot - 1}{13 \cdot 2}$

Step 5.2.3

Rewrite the expression.

$\frac{- 1}{2}$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$