Răspuns :

Explicație pas cu pas:

[tex]\bigg(2 \dfrac{2}{5} - 1 \dfrac{2}{5} - \dfrac{1}{6} \bigg) = [/tex]

[tex]\bigg(\dfrac{2 \cdot 5 + 2}{5} - \dfrac{1\cdot 5 + 2}{5} -\dfrac{1}{6} \bigg) = [/tex]

[tex]\bigg(\dfrac{12}{5} - \dfrac{7}{5} -\dfrac{1}{6} \bigg) = \dfrac{12 - 7}{5} -\dfrac{1}{6}= [/tex]

[tex] \dfrac{5}{5} -\dfrac{1}{6}= \dfrac{^{6)} 1 \: }{1} -\dfrac{1}{6}= \dfrac{6 - 1}{6}= [/tex]

[tex]\boxed{ \: \dfrac{5}{6} \: }[/tex]

[tex]\it 2\dfrac{2}{5}-1\dfrac{2}{5}-\dfrac{1}{6}=1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]