Converting between Fractions and Decimals

Complete the homework in the back of your exercise book.  Do not complete on the sheet if you choose to print it out.

1. Convert the following decimals to fractions and then cancel to their simplest form.

a 0.3
b 0.35
c 0.78
d 0.375
e 0.984

2. Covert the following fractions to decimals, do not use a calculator and show full working.  Use an appropriate method.

a 4/5
b 19/20
c 7/25
d 2/11
e 1/6

3. Covert the following recurring decimals into fractions showing a clear method.
a 0.2222222...
b 0.5555555...
c Can you see a pattern in your results? What is the pattern and can you predict what 0.8888888888.. will be equal to?


Extension Questions
a 0.1414141414...
b 0.4545454545...
c 0.125125125125...
d 0.833333333333....