What is 9/13-(5/13+3/13) ?

The solution to 9/13-(5/13+3/13) is 1/13

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9/13-(5/13+3/13)

\frac{9}{13} - (\frac{5}{13} + \frac{3}{13})

\frac{1}{13}

Solution steps

\frac{9}{13} - (\frac{5}{13} + \frac{3}{13})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{5}{13} + \frac{3}{13}) : \frac{8}{13}

\frac{5}{13} + \frac{3}{13}

\frac{5}{13} + \frac{3}{13} = \frac{8}{13}

\frac{5}{13} + \frac{3}{13}

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{5 + 3}{13}

Add the numbers:

5 + 3 = 8

= \frac{8}{13}

= \frac{8}{13}

= \frac{9}{13} - \frac{8}{13}

Add and subtract (left to right)

\frac{9}{13} - \frac{8}{13} : \frac{1}{13}

\frac{9}{13} - \frac{8}{13}

\frac{9}{13} - \frac{8}{13} = \frac{1}{13}

\frac{9}{13} - \frac{8}{13}

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{9 - 8}{13}

Subtract the numbers:

9 - 8 = 1

= \frac{1}{13}

= \frac{1}{13}

= \frac{1}{13}

13 - 2 - 5 - 9 - 1 + 8 - 11

2 \cdot 2 + 1

\frac{1}{2} + \frac{1}{4}

1 0^{2} + 1 4^{2}

2 (- 3) - 3 - (- \frac{5}{2} (- 3) + 3)