Question

3.8:(4c+3)=2:2 2/19

Please help me! I really appreciate it!

Answer 1

c = 0.25

Question:

3.8:(4c+3)=2:2 2/19

Answer 2

Please note that in such questions, the ":" stands for ratio which in turn stands for divide. Thus, the given expression which is:

`3.8:(4c+3)=2:2(2)/(19)` will become:

`(3.8)/(4c+3)= (2)/(2(2)/(19))`.....(Equation 1)

Now, we know that 3.8 can be rewritten as
`(38)/(10)`. Also, we know that the mixed fraction
`2(2)/(19)` can be re-written as:

`2(2)/(19)=2+ (2)/(19)= (38+2)/(19)= (40)/(19)`

Using the above two expressions in (Equation 1) we get:

`((38)/(10))/(4c+3)= (2)/((40)/(19))`

`\frac{(38)/(10)} {4c+3}= (2* 19)/(40)= (38)/(40)`

Cross-multiplication gives:

`38(4c+3)=(40* 38)/(10)`

`4c+3=4`
`4c=1`

`c=(1)/(4)`

Or c=0.25

Thus, we may write the value of c as either the decimal 0.25 or the fraction
`(1)/(4)`.