## Arithmetic with Fractions

Multiplication is the ONLY easy process with fractions   (to quote from lessons)

a   b      =     ab                 numerator
c      d             cd                denominator

Adding, and subtracting are much harder:

First decide what units to work in; at worst, multiply the denominators…

a b      =    ad + bc      and then do
c     d                  cd              cancelling

Subtraction is almost identical, becasue we’re adding but with a negative value for b (or d).

a   b      =    ad - bc      and then do
c      d                cd              cancelling

Division requires an extra move: dividing by 2 is the same as multiplying by 1/2, similarly dividing by 2/3 is the same as multiplying by 3/2, so

a   ÷  b      =         a   d      =    ad
c       d                 c       b            bc

Practise this !

Can you do fractions on your calculator? Good, but learn to do without, because this is one of every examiner’s favourite topics on a non-calculator paper.

So, you dream some up, work out the answer and check it against your calculator.

Go on.....

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