Page 96 - Knowledge Organiser Yr7 24-25

By the end of this topic, you should be able to:
• Use a fraction to describe parts of the whole
• Simplify fractions and find equivalent fractions
• Order fractions and decimals
• Add and subtract fractions
• Multiply and divide fractions
• Find a fraction of a quantity
• Convert between fractions, decimals and %
• Find percentages of amounts
Language
Meaning
Example
Numerator
The top number in a fraction; it gives you the number of parts you have
For 3/5
3 is the numerator
5 is the denominator
Denominator
The bottom number in a fraction; it gives the total number of parts in the whole
Integer
A whole number
-5, 0 and 7 are integers
Decimal
The standard number system based on powers of 10
4.89 is a decimal number
Percentage
A number which means ‘out of 100'
85% means 85/100
Equivalent Fraction
Fractions which have the same value
1/2, 2/4 and 3/6
Terminating Decimal
A decimal which has a fixed number of decimal places
0.286 has three decimal places
Recurring Decimal
A decimal which goes on for ever and has a repeating pattern
.
0.3 has the number 3 repeating forever
Important things to remember:
1) To add or subtract fractions you need to find a common denominator
2) In mathematics “of” means “multiply”
3) 0.1 is one tenth so 1/10
4) 0.27 is twenty seven hundredths so 27/100
F
D
P
1/2
0.5
50%
1/3
.
0.3
.
33.3%
1/4
0.25
25%
1/5
0.2
20%
Worked examples
96
Knowledge Base: Mathematics TOPIC 5: Fractions, Decimals, % Year 7 | Spring Term 1