Question

Use the equation below to answer the division question. A/b+(1/4x1/b)=1/2 What is 1/2 divided by a/b?

Answer 1

`\mathbf{(2b- 1)/(2b)}`

Explanation:

`\text{The given equation is:}`

`(a)/(b)+ ((1)/(4) * (1)/(b)) = (1)/(2)`

`\text{To find:}`

`(1)/(2) } / {(a)/(b) }`

`\text{From the given equation:}`

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

`(a)/(b) = (1)/(2) - ((1)/(4b))`

`(a)/(b) = (4b- 2)/((2) (4b))`

`(a)/(b) = (4b- 2)/(8b)`

`\text{Now; the value of}`
`(a)/(b) / (1)/(2)`

∴

`\implies (4b- 2)/(8b) / (1)/(2)`

`\implies (4b- 2)/(8b) * (2)/(1)`

`\implies (4b- 2)/(4b)`

`\implies (2b- 1)/(2b)`