Question

tìm x :

a) \(\dfrac{2x}{3}:\dfrac{1}{5}=1\dfrac{1}{3}:\dfrac{1}{4}\)

b) 1,35 :0,2 = 1,25 : 0,1x

c) \(2:1\dfrac{1}{4}=\dfrac{1}{2}:2x\)

bạn nào biết làm ơn viết cả lời giải cho mình với

Answer 1

a. \(\dfrac{2x}{3}:\dfrac{1}{5}=1\dfrac{1}{3}:\dfrac{1}{4}\Rightarrow\dfrac{2x}{3}\cdot\dfrac{1}{4}=\dfrac{1}{5}\cdot1\dfrac{1}{3}\Rightarrow\dfrac{2x}{3}=\dfrac{1}{5}\cdot1\dfrac{1}{3}:\dfrac{1}{4}=\dfrac{16}{15}\Rightarrow2x=\dfrac{16}{15}\cdot3=\dfrac{16}{5}\Rightarrow x=\dfrac{16}{5}:2=\dfrac{8}{5}\)

Vậy \(x=\dfrac{8}{5}\)

b. \(1,35:0,2=1,25:0,1x\Rightarrow1,35\cdot0,1x=0,2\cdot1,25\Rightarrow0,1x=\dfrac{0,2\cdot1,25}{1,35}=\dfrac{5}{27}\Rightarrow x=\dfrac{5}{27}:0,1=\dfrac{50}{27}\)

Vậy \(x=\dfrac{50}{27}\)

c. \(2:1\dfrac{1}{4}=\dfrac{1}{2}:2x\Rightarrow2\cdot\dfrac{4}{5}=\dfrac{1}{2}\cdot\dfrac{1}{2}\cdot x\Rightarrow\dfrac{8}{5}=\dfrac{1}{4}x\Rightarrow x=\dfrac{8}{5}:\dfrac{1}{4}=\dfrac{32}{5}\)

Vậy \(x=\dfrac{32}{5}\)