Starter What is: 1 1 + 6 2 B) 2 + 3 C) 6 - 2 2 4 3 6 12 3 2 4 3 6 12 3.
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Transcript of Starter What is: 1 1 + 6 2 B) 2 + 3 C) 6 - 2 2 4 3 6 12 3 2 4 3 6 12 3.
StarterStarter
What is:What is:
11 11 + + 6 6 22 B) B) 22 + + 33 C) C) 66 - - 22
2 4 3 6 12 32 4 3 6 12 3
Starter: Using a common Starter: Using a common denominatordenominator
1) Write any mixed numbers as improper fractions.
1 34
= 74
2) Find the lowest common multiple of 4, 9 and 12.
The multiples of 12 are: 12, 24, 36 . . .
36 is the lowest common denominator.
What is +19
?134
+512
3) Write each fraction over the lowest common denominator.
74
=36
×9
×9
63 19
=36
×4
×4
4 512
=36
×3
×3
15
4) Add the fractions together.
3663
+364
+3615
=36
63 + 4 + 15=
3682
= 2 3610
= 2 185
What is +19
?134
+512
Using a common denominatorUsing a common denominator
Fraction QuantitiesFraction Quantities
Objective: How to work with Objective: How to work with Fractions Fractions
Class questionClass question
Please write in your books an example of a Please write in your books an example of a fraction or percentage you have seen in fraction or percentage you have seen in the real world???the real world???
Discounts in stores ½ off or 50% offDiscounts in stores ½ off or 50% offVAT??VAT??Taxes?Taxes?Interest Rates??Interest Rates??Money?Money?
Finding a fraction of an amountFinding a fraction of an amount
We can see this in a diagram:
23
of £18 = £18 ÷ 3 × 2 = £12
23
of £18?What is
Let’s look at this in a diagram again:
710
of £20 = £20 ÷ 10 × 7 = £14
710
of £20?What is
Finding a fraction of an amountFinding a fraction of an amount
What is of 9 kg?4
7
To find of an amount we can multiply by 4 and divide by 7.4
7
We could also divide by 7 and then multiply by 4.
4 × 9 kg = 36 kg
36 kg ÷ 7 = =36
7kg 5
1
7kg
Finding a fraction of an amountFinding a fraction of an amount
56
of £24 =16
of £24 × 5
= £24 ÷ 6 × 5
= £4 × 5
= £20
56
of £24?What is
Finding a fraction of an amountFinding a fraction of an amount
When we work out a fraction of an amount we
multiply by the numerator
and
divide by the denominator
For example,
23
of 18 litres = 18 litres ÷ 3 × 2
= 6 litres × 2
= 12 litres
Finding a fraction of an amountFinding a fraction of an amount
ExamplesExamplesFind: a) Find: a) 22 of £ 28 b) of £ 28 b)33 of 45 sweets c) 1 of 45 sweets c) 1 22 of 15 m of 15 m 7 5 3 7 5 3 A)A)First, Find First, Find 11 of £28: 28 divide by 7 = 4, So, of £28: 28 divide by 7 = 4, So, 22 of £ 28 = 2x4=£8 of £ 28 = 2x4=£8 7 7 7 7 OrOr2x28 Divide by 7 = £ 82x28 Divide by 7 = £ 8
B) First, Find B) First, Find 11 of 45 sweets: 45 divide by 5 = 9 of 45 sweets: 45 divide by 5 = 9 55
So, So, 33 of 45 sweets = 3x9 = 27 sweets of 45 sweets = 3x9 = 27 sweets 55OrOr3x45 Divide by 5= 27 sweets3x45 Divide by 5= 27 sweets