Algebraic Fractions (Cambridge (CIE) IGCSE Maths: Extended)

Simplify.

Simplify .

  and   

Find .
Give your answer as a single fraction, in terms of , in its simplest form.

Write    as a single fraction, in its simplest form.

Solve.

Show all your working and give your answers correct to 2 decimal places.

 = .......................... or = .......................... 

  and  .  

Write   as a single fraction in its simplest form.

Simplify.

Simplify .

A car completes a 200 km journey at an average speed of km/h.
The car completes the return journey of 200 km at an average speed of  km/h.

i) Show that the difference between the time taken for each of the two journeys is  hours.

[3]

ii) Find the difference between the time taken for each of the two journeys when . Give your answer in minutes and seconds.  

................... min .................. s  [3]

  and  .

Write as a single fraction in its simplest form.

can be written as a single fraction in the form   where a and b are integers.

Work out the value of a and the value of b.

Show that    simplifies to   where a, b, c and d are integers.