Question

Solve for v. v - 4 1 -- = 8 -- 5 2

Answer 1

The expression is

`v-(4)/(5)=8(1)/(2)`

To solve for v, you have to isolate the variable in one side of the equal sign. To pass "-4/5" to the right side you have to perform the inverse operation to both sides of the expression:

`\begin{gathered} v-(4)/(5)+(4)/(5)=8(1)/(2)+(4)/(5) \\ v=8(1)/(2)+(4)/(5) \end{gathered}`

Next is to add both fractions.

First write the mixed fraction as an improper fraction

`8(1)/(2)=(16)/(2)+(1)/(2)=(17)/(2)`

Next find the common denominator between both fractions. For 2 and 5, the common denominator is 10.

So multiply the first fraction by 5 (both numerator and denominator) and the second fraction by 2, this way both will be expressed with the same denominator.

`\begin{gathered} v=(17\cdot5)/(2\cdot5)+(4\cdot2)/(5\cdot2) \\ v=(85)/(10)+(8)/(10)=(85+8)/(10) \\ v=(93)/(10) \end{gathered}`