## Unit 17 Section 4 : Decimals, Fractions and PercentagesIn this section we focus on converting between fractions, decimals and percentages. ## Example QuestionsPercentage to Decimal
What is 34% as a decimal?
To convert a percentage to a decimal, we divide by 100%: The answer is 0.34.
What is 0.65 as a percentage?
To convert a decimal to a percentage, we multiply by 100%: The answer is 65%.
What is 35% as a fraction?
To convert a percentage to a fraction, we write the number as a fraction over 100 and simplify the answer.
To convert a fraction to a percentage, you need to find an equivalent fraction where the bottom number (denominator) is 100, and then the top number (numerator) will be the percentage. In this case we need to multiply both parts of the fraction by 4 to make the bottom number 100.
The answer is 44%.
## Practice QuestionsWork out the answer to each of these questions then click on the button marked to see whether you are correct.
(b) What is 0.08 as a percentage?
(c) What is 80% as a fraction?
## ExercisesWork out the answers to the questions below and fill in the boxes. Click on the button to find out whether you have answered correctly. If you are right then will appear and you should move on to the next question. If appears then your answer is wrong. Click on to clear your original answer and have another go. If you can't work out the right answer then click on to see the answer.
You have now completed Unit 17 Section 4
Produced by A.J.Reynolds April 2011 |