Question

How do you simplify `\frac { \frac { 2} { 5} } { \frac { 1} { 2} }`?

Answer 1

See explanation.

Explanation:

A quotient of 2 numbers can be written as a product of the first number and the reciprocal of the second:

`a-:b=axx1/b`

Here we have:

`2/5 -: color(red)(1/2)=2/5xx color(red)(2/1)=4/5`

Answer 2

`4/5`

Explanation:

In this kind of division, there's a specific formulae to calculate it.
You need to separate it into 4 parts, where for example :
`2 = a, 5 = b, 1 = c, 2 = d`

Apply the formulae `ad -: cb`

⇒ `2*2-:5*1`
⇒ `4/5`

Answer 3

`4/5`

Explanation:

`(2/5)/(1/2)`

`rArr 2/5 xx 2/1`

( when denominator is changed to its reciprocal form )

`rArr 4/5`

Hope this helps :)