Question

What is the result when x+25 is subtracted from 3 10 3 10 O 9 10 о 3 10 O 3 10 .

Answer 1

`3(1)/(2)x-4(1)/(10)-((3)/(8)x+2(1)/(5))`

To solve this:

Write the mixed numbers as fractions

`a(b)/(c)=(ac+b)/(c)`
`\begin{gathered} 3+(1)/(2)=(6+1)/(2)=(7)/(2) \\ \\ 4(1)/(10)=(40+1)/(10)=(41)/(10) \\ \\ 2(1)/(5)=(10+1)/(5)=(11)/(5) \end{gathered}`

You get:

`=(7)/(2)x-(41)/(10)-(3)/(8)x-(11)/(5)`

Combine like terms:

`\begin{gathered} (7)/(2)x-(3)/(8)x=(56x+6x)/(16)=(62)/(16)x=(31)/(8)x \\ \\ -(41)/(10)-(11)/(5)=(-205-110)/(50)=-(315)/(50)=-(63)/(10) \\ \\ \\ =(31)/(8)x-(63)/(10) \end{gathered}`

Turn fractions into mixed numbers:

`\begin{gathered} (31)/(8)=(24)/(8)+(7)/(8)=3(7)/(8) \\ \\ (63)/(10)=(60)/(10)+(3)/(10)=6(3)/(10) \end{gathered}`You get as final result:
`3(7)/(8)x-6(3)/(10)`