Page 60 - Year 10 Knowledge Organiser

Maths: FOUNDATION: Fractions and Percentages: 3 of 4

What you need to know: What you need to know: What you need to know:

Fractions, Decimals and Percentages Comparing FDP Ordering FDP
You need to be able to convert between fractions, decimals and To be able to compare values we need to To be able to order FDP we need to
percentages. get them in the same format. write them all in the same format.
Example: Order from smallest to
Percentages: Example: Which is greater, 78% or 0.8? largest
We can either change the 0.8 into a
percentage or the 0.78 into a decimal.
You can choose to convert them all
0.8 = 80% to fractions, decimals or
Which is greater 78% or 80%? percentages as long as you convert
Decimals: 80% is greater so the answer is 0.8. them all into the same.

Example: Which is greater 17 0.87? Changing them to percentages:
20 1 1
= 25% 0.19 = 19% 0.3 = 30% = 20%
4 5
Fractions: 17 85 87
= 0.87 = From smallest to biggest
20 100 100
19%, 20%, 25%. 25%, 30%
87 is bigger than 85 so the answer is 0.87
Answer:

1 1
0.19, , , 26%, 0.3
5 4
These are some conversions that you You need to be able to:
need to learn.
Top tips- to convert: • Convert between simple fractions, decimals and percentages.
• Percentages to decimals divide by 100 • Convert between recurring decimals and percentages.
• Decimals to percentages multiply by 100 • Compare fractions, decimals and percentages.
• Percentages to fractions put over 100 • Order fractions, decimals and percentages by converting.
• Fractions make sure the denominator is 100