What is (1+5/(c-5))/(1-5/(c-5)) ?

The solution to (1+5/(c-5))/(1-5/(c-5)) is c/(c-10)

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simplify (1+5/(c-5))/(1-5/(c-5))

simplify

\frac{1 + \frac{5}{c - 5}}{1 - \frac{5}{c - 5}}

\frac{c}{c - 10}

Solution steps

\frac{1 + \frac{5}{c - 5}}{1 - \frac{5}{c - 5}}

Join

1 + \frac{5}{c - 5} : \frac{c}{c - 5}

= \frac{\frac{c}{c - 5}}{1 - \frac{5}{c - 5}}

Join

1 - \frac{5}{c - 5} : \frac{c - 10}{c - 5}

= \frac{\frac{c}{c - 5}}{\frac{c - 10}{c - 5}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{c ( c - 5 )}{( c - 5 ) ( c - 10 )}

Cancel the common factor:

c - 5

= \frac{c}{c - 10}

196 x^{2} - 144

(2 b - 3) (- 9)

- 5 x^{3} + 45 x^{2} - 90 x

- 2 \times 3

- (a - 1)^{2}

What is (1+5/(c-5))/(1-5/(c-5)) ?
The solution to (1+5/(c-5))/(1-5/(c-5)) is c/(c-10)