Question

Show the value of 4/3 ÷ 2/5. show reasoning

Answer 1

`3(1)/(3)`

Explanation:

Dividing fractions is like multiplying the reciprocal of the second number

For example:
`(36)/(3)` divided by
`(24)/(6)`

Multiply the reciprocal, which is 6/24

`(36)/(3) * (6)/(24) ,` Find divisible diagonal factors. Divide by 3 diagonally and divide by 12 diagonally

`(3)/(1) * (2)/(2) = 3`

You can check by making 36/3 to 12 and 24/6 to 4.

12/4 = 3

In the same way:

`(4)/(3) /(2)/(5) = (4)/(3) * (5)/(2) =`

Divide by 2 diagonally

`(2)/(3) * (5)/(1) =(10)/(3) = 3(1)/(3)`

The answer is
`3(1)/(3)`

Hope this helps :)

Have a nice day!