Question

\(\dfrac{5_{ }}{11}\)-[\(\dfrac{3}{5}\)- \(\dfrac{6}{11}\)]

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Answer 1

\(\dfrac{5}{11}-\left(\dfrac{3}{5}-\dfrac{6}{11}\right)\)
\(=\dfrac{5}{11}-\dfrac{3}{5}+\dfrac{6}{11}\)
\(=\left(\dfrac{5}{11}+\dfrac{6}{11}\right)-\dfrac{3}{5}\)
\(=1-\dfrac{3}{5}\)
\(=\dfrac{5}{5}-\dfrac{3}{5}\)
\(=\dfrac{2}{5}\)

Answer 2

`5/11-(3/5-6/11)`

`=5/11-3/5+6/11`

`=(5/11+6/11)-3/5`

`=1-3/5`

`=2/5`

Answer 3

\(\dfrac{5}{11}-\left[\dfrac{3}{5}-\dfrac{6}{11}\right]\\ =\dfrac{5}{11}-\dfrac{3}{55}=\dfrac{2}{5}\)