Question

3/4 •{2-5/6:[5/4-2:(3,4•5/17+2)]}

Answer 1

$\it 3,4=\dfrac{\ 34^{(2}}{10}=\dfrac{17}{5}$

Acum,  expresia de calculat devine:

$\it \dfrac{3}{4}\cdot\Big\{2-\dfrac{5}{6}:\Big[\dfrac{5}{4}-2:\Big(\dfrac{17}{5}\cdot\dfrac{5}{17}+2\Big)\Big]\Big\} =\dfrac{3}{4}\cdot\Big[2-\dfrac{5}{6}:\Big(\dfrac{5}{4}-\dfrac{2}{3}\Big)\Big]=\\ \\ \\ =\dfrac{3}{4}\cdot\Big(2-\dfrac{5}{6}:\dfrac{7}{12}\Big)=\dfrac{3}{4}\cdot\Big(2-\dfrac{5}{6}\cdot\dfrac{12}{7}\Big)= \dfrac{3}{4}\cdot\Big(2-\dfrac{10}{7}\Big)=\dfrac{3}{4}\cdot\dfrac{4}{7}=\\ \\ \\ =\dfrac{3}{7}$

Answer 2

Răspuns:

Explicație pas cu pas:

3,4 = 34/10 = (34:2)/(10:2) = 17/5

_________________________

3/4 × { 2 - 5/6 : [ 5/4 - 2 : ( 17/5 × 5/17 + 2 ) ] } =  3/7

= 3/4 × { 2 - 5/6 : [ 5/4 - 2 : ( 1 + 2 ) ] } =

= 3/4 × [ 2 - 5/6 : ( 5/4 - 2/3)] =

= 3/4 × [ 2 - 5/6 : ( 15/12 - 8/12)] =

= 3/4 × ( 2 - 5/6 : 7/12 ) =

= 3/4 × ( 2 - 5/6 × 12/7 )=

= 3/4 × ( 2 - 10/7) =

= 3/4 × ( 14/7 - 10/7) =

= 3/4 × 4/7 =

= 3/7