Question

\(8\dfrac{1}{3}\) + 0,25 + \(\dfrac{1}{2}\) - ( 3,5 + \(2\dfrac{1}{3}\) - \(\dfrac{3}{4}\) )

 

Answer 1

`8 1/3 + 0,25 + 1/2 - (3,5 + 2 1/3 - 3/4)`

` = 25/3 + 1/4 + 1/2 - 7/2 - 7/3 + 3/4`

` = (25/3 - 7/3) + (1/4 + 3/4) + (1/2 - 7/2)`

`= 6 + 1 + (-3)`

`= 7 + (-3)`

`=4`

Answer 2

\(8\dfrac{1}{3}+0,25+\dfrac{1}{2}-\left(3,5+2\dfrac{1}{3}-\dfrac{3}{4}\right)\)
\(=\dfrac{25}{3}+\dfrac{1}{4}+\dfrac{1}{2}-\left(\dfrac{7}{2}+\dfrac{7}{3}-\dfrac{3}{4}\right)\)
\(=\dfrac{25}{3}+\dfrac{1}{4}+\dfrac{1}{2}-\left(\dfrac{42}{12}+\dfrac{28}{12}-\dfrac{9}{12}\right)\)
\(=\dfrac{25}{3}+\dfrac{1}{4}+\dfrac{1}{2}-\dfrac{61}{12}\)
\(=\dfrac{100}{12}+\dfrac{3}{12}+\dfrac{6}{12}-\dfrac{61}{12}\)
\(=\dfrac{48}{12}=4\)