Chapter 7 - Section 7.7 - Simplifying Complex Fractions - Exercise Set: 17

$\dfrac{\dfrac{m}{n}-1}{\dfrac{m}{n}+1}=\dfrac{m-n}{m+n}$

Work Step by Step

$\dfrac{\dfrac{m}{n}-1}{\dfrac{m}{n}+1}$ Evaluate the substraction indicated in the numerator and the sum indicated in the denominator: $\dfrac{\dfrac{m}{n}-1}{\dfrac{m}{n}+1}=\dfrac{\dfrac{m-n}{n}}{\dfrac{m+n}{n}}=...$ Evaluate the division and simplify if possible: $...=\dfrac{m-n}{n}\div\dfrac{m+n}{n}=\dfrac{(m-n)(n)}{(m+n)(n)}=\dfrac{m-n}{m+n}$

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