Question

1tim x 

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

b. 4,5 :0,3 = 2,25 : (0,1 . x )

c. 8 : (\(\frac{1}{4}\). x ) = 2 :0,02

d. 3 :\(2\frac{1}{4}\)= \(\frac{3}{4}\) : (6x )

 

Answer 1

a. \(\left(\frac{1}{3}x\right):\frac{2}{3}=1\frac{3}{4}:\frac{2}{5}\)

\(\left(\frac{1}{3}x\right):\frac{2}{3}=\frac{35}{8}\)

\(\frac{1}{3}x=\frac{35}{8}.\frac{2}{3}=\frac{35}{12}\)

\(x=\frac{35}{12}.3=\frac{35}{4}\)

b) 4,5:0,3=2,25:(0,1.x)

\(\frac{45}{10}:\frac{10}{3}=\frac{225}{100}:\left(\frac{1}{10}x\right)\)

\(15=\frac{9}{4}:\left(\frac{1}{10}x\right)\)

\(\frac{9}{4}:\left(\frac{1}{10}x\right)=15\)

\(\frac{1}{10}x=\frac{9}{4}.\frac{1}{15}=\frac{3}{20}\)

\(x=\frac{3}{20}.10=\frac{3}{2}\)

c) 8:\(\left(\frac{1}{4}x\right)=2:0,02\)

8:\(\left(\frac{1}{4}x\right)\)=2:\(\frac{2}{100}\)

8:\(\left(\frac{1}{4}x\right)=2.\frac{100}{2}=100\)

\(\frac{1}{4}x=\frac{8}{100}\)

\(x=\frac{8}{100}.4=\frac{8}{25}\)

d)\(3:2\frac{1}{4}=\frac{3}{4}:\left(6x\right)\)

\(3.\frac{9}{4}=\frac{3}{4}:\left(6x\right)\)

\(\frac{3}{4}:\left(6x\right)=\frac{27}{4}\)

\(6x=\frac{3}{4}.\frac{4}{27}=\frac{1}{9}\)

\(x=\frac{1}{9}.\frac{1}{6}=\frac{1}{54}\)

Answer 2

 a.=> 1/2 . x = 35/8

 => x = 31/8

 b. => 15 = 22,5 . x

=> x = 2/3

c. => 32 . x =  100

=>x=25/8 

d. 4/3= 1/8 . x 

x = 32/3