Question

Question #4eb33

Answer 1

`81`

Explanation:

Multiply `3/5` by `135`.
`135` can be written as `135/1.`
`3/5*135/1`

`(3*135)/(5*1)`

`405/5`

`81`

Answer: `81`

Answer 2

`3/5 xx 135 = 81`

Explanation:

We need to understand first what is meant by 'fifths'

When a quantity is divided by `2`, each portion is one 'half'.
When a quantity is divided by `3`, each portion is one 'third'.
When a quantity is divided by `4`, each portion is one 'quarter'.
When a quantity is divided by `5`, each portion is one 'fifth.
When a quantity is divided by `6`, each portion is one 'sixth'.

and so on ...

'Half of ' `10` would be `10 div 2 =5`

'A fifth of ' `20` would be `20 div 5 = 4`

So, 'A fifth of' `135` is `color(blue)(135 div 5 = 27)`

This can be written as `color(blue)(1/5 xx 135 = 27)`

The fraction 'three-fifths' means three portions of a fifth each.

`3 color(blue)(xx 27) = 81`

In maths:

`1/5 xx 135 = 135 div5 = 27`

`3/5 xx 135 = 3 xx color(blue)((1/5 xx 135)) = 3 xx (color(blue)(27)) =81`

We can also do this by 'cancelling' to a simpler form:

`3/cancel5 xx cancel135^27 = 3 xx27 = 81`