Question

1) tìm x
a) 2/5 . x + 1/3 = 1/5
b) 1/5 + 5/3 : x = 1/2
c) 4/9 - 5/3 . x = - 2
d) 5/7 : x - 3 = -2/7
2) Thực hiện các phép tính bằng hai cách ( mấy cái cách ở dưới là hỗn số)
a) 17 2/9 + 6 1/9
b) 34 15/37 + 3 12/37
c) 12 2/7 + 35 3/14
d) 28 9/5 + 22 7/10
e) 74 2/8 - 17 1/8
f) 36 7/4 - 16 1/2
g) 64 2/15 - 36 5/3
h) 75 1/8 - 29 5/16
3) Thực hiện các phép tính sau ( mấy cái cách ở dưới là hỗn số)
a) 2 3/4 . 3 6/5
b) 4 3/8 . 2 4/7
c) 4 3/8 . ( - 2 4/7 )
d) 6 7/8 : ( - 2 8/9 )
e) ( - 6 1/2 ) . ( -3 1/5 )
f) ( - 4 2/9 ) . ( - 5 1/2 )
g) 7 1/3 . 2
h) 3 6/5 : 2

Answer 1

Bài 1: 

a) Ta có: \(\dfrac{2}{5}\cdot x+\dfrac{1}{3}=\dfrac{1}{5}\)

\(\Leftrightarrow\dfrac{2}{5}\cdot x=\dfrac{1}{5}-\dfrac{1}{3}=\dfrac{-2}{15}\)

\(\Leftrightarrow x=\dfrac{-2}{15}:\dfrac{2}{5}=\dfrac{-2}{15}\cdot\dfrac{5}{2}\)

hay \(x=-\dfrac{1}{3}\)

Vậy: \(x=-\dfrac{1}{3}\)

b) Ta có: \(\dfrac{1}{5}+\dfrac{5}{3}:x=\dfrac{1}{2}\)

\(\Leftrightarrow\dfrac{5}{3}:x=\dfrac{1}{2}-\dfrac{1}{5}=\dfrac{3}{10}\)

\(\Leftrightarrow x=\dfrac{5}{3}:\dfrac{3}{10}=\dfrac{5}{3}\cdot\dfrac{10}{3}\)

hay \(x=\dfrac{50}{9}\)

Vậy: \(x=\dfrac{50}{9}\)

c) Ta có: \(\dfrac{4}{9}-\dfrac{5}{3}\cdot x=-2\)

\(\Leftrightarrow\dfrac{5}{3}x=\dfrac{4}{9}+2=\dfrac{22}{9}\)

\(\Leftrightarrow x=\dfrac{22}{9}:\dfrac{5}{3}=\dfrac{22}{9}\cdot\dfrac{3}{5}\)

hay \(x=\dfrac{22}{15}\)

Vậy: \(x=\dfrac{22}{15}\)

d) Ta có: \(\dfrac{5}{7}:x-3=\dfrac{-2}{7}\)

\(\Leftrightarrow\dfrac{5}{7}:x=\dfrac{-2}{7}+3=\dfrac{19}{21}\)

\(\Leftrightarrow x=\dfrac{5}{7}:\dfrac{19}{21}=\dfrac{5}{7}\cdot\dfrac{21}{19}\)

hay \(x=\dfrac{15}{19}\)

Vậy:\(x=\dfrac{15}{19}\)