Question

Câu 1 : Tính

A = -7/12 + 11/8 - 5/9

B = 1/7 - 8/7 : 8 - 3 : 3/4 . (2²)

C = 1,4 .15/49 - ( 4/5 + 2/3 ) : 11/5

Câu 2 : Tìm x biết

a, -11x/12 +3/4 = -1/6

b, 3-( 1/6 - x ) .2/3 = 2/3

Câu 3 : Tìm các số nguyên x biết :

1/-2 < x/2 = _< 0

Câu 4 : So sánh

1/2.3và 1/2 - 1/3

Mn ơi cố gắng giúp mk nhé vì mk cần gấp . Cảm ơn nhiều !!!!

Answer 1

Câu 1:

A = \(\dfrac{-7}{12}+\dfrac{11}{8}-\dfrac{5}{9}=\dfrac{-42}{72}+\dfrac{99}{72}-\dfrac{40}{72}=\dfrac{-42+99-40}{72}=\dfrac{17}{72}\)

\(B=\dfrac{1}{7}-\dfrac{8}{7}:8-3:\dfrac{3}{4}.2^2=\dfrac{1}{7}-\dfrac{8}{7}.\dfrac{1}{8}-3.\dfrac{4}{3}.4=\dfrac{1}{7}-\dfrac{1}{7}-16=0-16=-16\)

\(C=1,4.\dfrac{15}{49}-\left(\dfrac{4}{5}+\dfrac{2}{3}\right):\dfrac{11}{5}=\dfrac{7}{5}.\dfrac{15}{49}-\dfrac{22}{15}.\dfrac{5}{11}=\dfrac{3}{7}-\dfrac{2}{3}=\dfrac{9-14}{21}=-\dfrac{5}{21}\)

Vậy A=\(\dfrac{17}{72};B=-16;C=\dfrac{-5}{21}\)

Câu 2:

a. \(\dfrac{-11x}{12}+\dfrac{3}{4}=-\dfrac{1}{6}\)

\(\Rightarrow\dfrac{-11x}{12}=-\dfrac{1}{6}-\dfrac{3}{4}\)

\(\Rightarrow\dfrac{-11x}{12}=\dfrac{-2}{12}-\dfrac{9}{12}\)

\(\Rightarrow\dfrac{-11x}{12}=\dfrac{-11}{12}\)

\(\Rightarrow-11x=\dfrac{-11.12}{12}\)

\(\Rightarrow-11x=-11\Rightarrow x=1\)

Vậy x=1

b. \(3-(\dfrac{1}{6}-x).\dfrac{2}{3}=\dfrac{2}{3}\Rightarrow3-\left(\dfrac{1}{6}-x\right)=1\)

\(\Rightarrow-(\dfrac{1}{6}-x)=1-3\Rightarrow\dfrac{1}{6}+x=-2\)

\(\Rightarrow x=2-\dfrac{1}{6}\Rightarrow x=\dfrac{11}{6}\)

Vậy x = \(\dfrac{11}{6}\)

Câu 4:

Ta có: \(\dfrac{1}{2.3}=\dfrac{1}{6}\)

\(\dfrac{1}{2}-\dfrac{1}{3}=\dfrac{3}{6}-\dfrac{2}{6}=\dfrac{1}{6}\)

\(\Rightarrow\dfrac{1}{2.3}=\dfrac{1}{2}-\dfrac{1}{3}\)