Melody: Hi Stu,

I don't quite know where to start and i don't have a lot of time right now.

but

1/2 * 1/3 = (1*1)/(2*3) => 1/6

It is easier to see if the fractions are written upright.

When multiplying fractions multiply straight across the top, then multiply straight across the bottom.

A whole number can be written as a fraction by putting it over 1 so 3=3/1, 2x = (2x)/1 etc.

>>>

**^knew **

1/2 + 1/3 = 3/6 + 2/6 = 5/6

Again it is much better (but much more time consuming for me, in the forum) if you write the fractions upright.

**Before you can add fractions you have to get a common denominator,** preferably the lowest one.

The multiples of 2 are 2,4,6,8,

The multiples of 3 are 3,6,9,12,...

The lowest common one is 6.

>>>>

__in bold probably where i am making my errors which was oversight and from little maths exposure, even overlooking it in maths is fun/where it is to be applied.__

Now, when you are getting rid of negative indices you only swap the thing with the negative indice to the other side of the fraction line. NOT everything.

3/4^{-2} = 3 * 4^{2} all over 1 if you like = 48

perhaps you are confusing it with

(3/4)^{-2} => (4/3)^{2} => 16/9 => 1 and 7/9

>>>

**Just working as shown by the nuclear physicist and correct according to answer sheet as a simplify. Maybe just a part of the entire process so you're right too is my guess.**

Oh, dividing by a fraction.

When you divide by a fraction, you multiply by its reciprocal.

In other words, you turn the second one upside down and change the divide to a multiply.

__^haven't had to apply, surely it can simplify some situations and I will need to learn. __

You may need to work through some mathsisfun units on fractions I think Stu.

Anyway, I hope that this is a good start to helping you out.