Question

Solve for a : a+4/5= 1/ 1/2

Answer 1

`a=(6)/(5)`.

Explanation:

1. Write the expression.

`a+(4)/(5) =(1)/((1)/(2) )`

2. Convert the right hand side of the equation (check attached image 1).

`a+(4)/(5) =1*(2)/(1) \\ \\a+(4)/(5) =2`

3. Subtract 4/5 from both sides of the equation.

`a+(4)/(5)-(4)/(5) =2-(4)/(5)\\ \\a=(2)/(1)-(4)/(5)\\\\a=(2*5)/(1*5)-(4)/(5)\\ \\a=(10)/(5)-(4)/(5)\\ \\a=(10-4)/(5) \\ \\a=(6)/(5)`

4. Verify your answer.

`((6)/(5) )+(4)/(5) =(1)/((1)/(2) )\\ \\(10)/(5) =2\\ \\2=2`

5. Conclude.

`a=(6)/(5)`.