Faster way to work out multiples

Hi all, my fractions are not great to be honest but here is my question.

Using addition, solve for a and b:

So I find a common multiple of b, I choose to use 24.

Now I go ahead and do the addition:

I'm left with:

Is this correct so far? If so then I plug the answer back into the equation and get:

I only know from using a website that

My question is I just don't know how to go about finding the correct fraction, is there a simple method?

Re: Faster way to work out multiples

After you've found your answers plug them back in the two equations and see if LHS = RHS

Re: Faster way to work out multiples

I don't know what LHS = RHS means. Could you elaborate?

Re: Faster way to work out multiples

LHS means left hand side, RHS means right hand side

Re: Faster way to work out multiples

But my question was with regards to finding the quick way to the correct fraction

Re: Faster way to work out multiples

Hi Uperkurk.

Your method is correct.

Your answer also seems to be correct. You are left with So by plugging that into either one of your equations (I'm choosing the first one for my example), you get It seems that by solving this equation you get which is harmonious with the answer.

For a more in-depth view on how to solve the equation

Does this clear it up for you?

Re: Faster way to work out multiples

Quote:

Originally Posted by

**Paze** Hi Uperkurk.

Your method is correct.

Your answer also seems to be correct. You are left with

So by plugging that into either one of your equations (I'm choosing the first one for my example), you get

It seems that by solving this equation you get

which is harmonious with the answer.

For a more in-depth view on how to solve the equation

Does this clear it up for you?

Perfect, thank you.