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form the operation and simplify the answer fully. \\(\\dfrac{ - \\dfrac…

Question

form the operation and simplify the answer fully. \\(\dfrac{ - \dfrac{3}{5} }{ - \dfrac{2}{3} }\\)

Explanation:

Step1: Rewrite as fraction division

$\frac{-\frac{3}{5}}{-\frac{2}{3}} = -\frac{3}{5} \div -\frac{2}{3}$

Step2: Multiply by reciprocal

$-\frac{3}{5} \times -\frac{3}{2}$

Step3: Multiply numerators and denominators

$\frac{(-3) \times (-3)}{5 \times 2} = \frac{9}{10}$

Answer:

$\frac{9}{10}$