Question

Question #d0295

Answer 1

`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`

Answer 2

1/3

Explanation:

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

Answer 3

`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.