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Presentation of Fractions extended for work at Level 2
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Adult Numeracy Level 2
Working With FractionsDave Cross
Suffolk New College
At level 2 we need to be able to convert any fraction into its alternative format, this could be;-
• Proper• Improper• Mixed• Decimal• Percentage
Fractions at Level 2
Revision of fractions at Level 1
• A fraction shows a number as mixture of whole numbers (integers) and parts of a whole (fractions)
11-2
One and a Half =
=3-2
= 1.5
Or Three Halves
One whole and one half
• A proper fraction represents less than one whole
12
The top number (numerator) is lowerin value than the bottom number (denominator)
Revision of fractions at Level 1
• An improper fraction represents more than one whole
32
The top number (numerator) is higherin value than the bottom number (denominator)
Revision of fractions at Level 1
• To turn an improper fraction into a mixed fraction we need to find how many times we can get the denominator into the numerator, using division
32
So here we divide 3 by 2 giving one and a half
Thus 3/2 (improper) = 1 ½ (Mixed)
Revision of fractions at Level 1
Notice the meaning of the line that separates the Numerator and the Denominator = ‘Divided By’
32
If we divide the number above the line by the number below, this will give us the same number expressed as a decimal
1. 52 3. 10=
Revision of fractions at Level 1
Now Fractions at Level 2
Let’s use an example;If our class had 12 people in it,
then three more people joined• Q1 By what fraction has the
original class size increased?
3 out of 12 = 3/12We can simplify this fraction by dividing the top and bottom by their
common factor (here, three goes into 3 and 12, so we divide both by 3)
= ¼
Fractions at Level 2Let’s continue our example;If our class had 12 people in it, then three more
people joined
• Q2 Can you write the new class size as a fraction of the old class size?
1512
54
=
We can simplify this fraction by dividing the top and bottom by their common factor (here, three goes into 15 and 12, so we divide both by 3)
Fractions at Level 2If our class had 12 people in it, then three more people
joined• Q3 What is the new class size as a percentage of the
original class size?
1. 2 54 5. 10 20
In Q2 we found this answer as a simplified improper fraction = 5/4
Can you explain why 1.25 = 125% ?
Adding Fractions at Level 2
• Can you explain why 1.25 = 125% ?
Units Tenths Hundredths1x100% 2x10% 5x1%
1. 2 5Or 100/100 + 20/100 + 5/100 = 125/100
In words ‘one hundred and twenty five PER cent’
Remember- 1per cent is the same as one hundredth
Adding Fractions at Level 2
• Before we can add fractions together we must convert them into the same type of fraction (with the same denominator)
54
+28
712
+ = ?
Adding Fractions at Level 2
54
+28
712
+ =
Look at all three denominators 4, 8, and 12What is a common multiple (what numberdo they have in common?)?
3024
+6
241424
Adding Fractions at Level 2
• Now that we have expressed each fraction in a similar form we can add them all together then finally, we simplify them
3024
+6
241424
+ =
5024
=2512
=21
12
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