Question

Bài 2: Thực hiện phép tính một cách hợp lí

f) \(\dfrac{7}{19}\)  . \(\dfrac{8}{11}\)   +  \(\dfrac{3}{11}\) .    \(\dfrac{7}{19}\) +\(\dfrac{-12}{19}\)

i) (  \(\dfrac{3}{8}\) +  \(\dfrac{-3}{4}\)+ \(\dfrac{7}{12}\) ) : \(\dfrac{5}{6}\)  +\(\dfrac{1}{2}\)

Answer 1

f: \(=\dfrac{7}{19}\left(\dfrac{8}{11}+\dfrac{3}{11}\right)-\dfrac{12}{19}=\dfrac{7}{19}-\dfrac{12}{19}=\dfrac{-5}{19}\)

i: \(=\left(\dfrac{9}{24}-\dfrac{18}{24}+\dfrac{14}{24}\right)\cdot\dfrac{6}{5}+\dfrac{1}{2}=\dfrac{5}{24}\cdot\dfrac{6}{5}+\dfrac{1}{2}\)

=1/4+1/2=3/4

Answer 2

` 7/19 . 8/11 + 3/11 . 7/19 + (-12)/19 `

 

`= 7/19 . ( 8/11 + 3/11 ) + (-12)/19 `

 

`= 7/19 . 11/11 + (-12)/19`

 

`= 7/19 . 1 + (-12)/19 `

 

`= 7/19 + (-12)/19 `

 

`= -5/19 `

 

`( 3/8 + (-3)/4 + 7/12 ) : 5/6 + 1/2`

 

`= 3/8 + (-3)4 + 7/12 . 6/5 + 1/2`

 

`= ( 9+(-18) + 14)/24 . 6/5 + 1/2`

 

`= 5/24 . 6/5 + 1/2`

 

`= 1/4 + 1/2 `

 

`= 3/4`