Question

Solve : 4/10 = 1/xhello can you tell me what I did wrong on this 4/=1X. 4xX=4. 10×1=10. 4/10 ==0.4

Answer 1

Given the expression :

`(4)/(10)=(1)/(x)`

We can solve by cross product :

So,

`\begin{gathered} 4\cdot x=10\cdot1 \\ 4x=10 \\ \\ x=(10)/(4) \end{gathered}`

Or we can use : the ratios properties :

`(a)/(b)=(c)/(d)\rightarrow(b)/(a)=(d)/(c)`

so,

`\begin{gathered} (4)/(10)=(1)/(x)\rightarrow(10)/(4)=(x)/(1) \\ \\ x=(10)/(4) \end{gathered}`