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#