Question

Solve the following proportion for v.
8/5 = v/6
Round your answer to the nearest tenth.​

Answer 1

`v=(48)/(5)=9(3)/(5) \\`

Explanation:

`(8)/(5)=(v)/(6)`

Swap sides:

`(v)/(6)=(8)/(5)`

Multiply to both sides by 6:

`(v)/(6)\cdot6=(8)/(5)\cdot6`

Group like terms:

`(1)/(6)\cdot6v=(8)/(5)\cdot6`

Simplify the fraction:

`v=(8)/(5)\cdot6`

Multiply the fractions

`v=(8\cdot6)/(5)`

Simplify the arithmetic:

`v=(48)/(5)`