Question #d0295

3 Answers
Oct 18, 2017

#1/3#

Explanation:

Dividing both the numerator and the denominator by their greatest common factor of 8:

#(8/8)/(24/8)#

Simplifying this gives you

#1/(24/8)#

Simplifying further achieves the simplest form:

#1/3#

Oct 18, 2017

1/3

Explanation:

#8/24 = (1* cancel( 2* 2* 2) ) /(3* cancel(2* 2* 2)) = 1/3#

Oct 27, 2017

#1/3#

Explanation:

If you wish to retain proportionality of a fraction what you do to the top (numerator) you also do to the bottom (denominator) for multiply or divide. Does not work for add or subtract.

Notice that 8 is a common factor of both 8 and 24. In that #3xx8=24#. So we can do what follows:

#(8-:8)/(24-:8) = 1/3#

This type of relation ship between numbers is called 'number bonds'. The more of these that you are able to memorise the faster you will be at your arithmetic.

A good way of remembering the number bonds is to try and memorise as many of the multiplication tables as you can.