Question #4eb33

2 Answers
Jun 19, 2017

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

Jun 19, 2017

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