N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub

N5 Num

FractionsFractions

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww

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Multiplying Basic Fractions

Add & Subtract basic Fractions

Add & Sub Harder Fractions

Top-Heavy / Mixed Fractions

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Starter QuestionsStarter Questions


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1. Calculate the perimeter of

2. Simplify ?

3. Write 7% as a decimal

4. List the prime numbers between 30 and 4

1648

8cm

10cm

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Mixed FractionsMixed Fractions


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1.1. Understand what the Understand what the terms fraction, top-heavy terms fraction, top-heavy and mixed fraction are.and mixed fraction are.

1. We are learning to convert fractions between Top-Heavy and Mixed Fraction.

2.2. Convert between top-Convert between top-heavy and mixed fraction.heavy and mixed fraction.

3.3. Solve problems Solve problems involving fractions.involving fractions.

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21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

FractionsFractions

A fraction, like, where the numerator is bigger

than the denominator is called a ‘Top-Heavy’ fraction.

73

A number like, consisting of

a ‘whole number’ part and a ‘fraction’ part is called a Mixed fraction

35

4

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Top Heavy to Top Heavy to MixedMixed

means seven thirds73

7 1 1 1 1 1 1 13 3 3 3 3 3 3 3

7 3 3 13 3 3 3

7 12

3 3

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NUMERATOR DENOMINATOR


can be written as 7 373

23 7

remainder 1

12

3

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NUMERATOR DENOMINATOR


can be written as 17 5175

35 17

remainder 2

23

5

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Changing a mixed fraction to a top-heavy.

WHOLE NUMBER DENOMINATORthen add NUMERATOR

5 4 3

7 5 2

Mixed to Top Mixed to Top HeavyHeavy

35

4

27

5

234

375

23 quarters

37 fifths

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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Now try N5 Lifeskills

Ex 1Ch4 (page 38)

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FractionsFractions

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2. Simplify ?

3. Write 2% as a decimal

4. List the prime numbers between 20 and 30

5. Calculate

1284

7 5+2 2

5cm

7cm

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1.1. Understand that to add Understand that to add and subtract fractions and subtract fractions the denominators must the denominators must be the same.be the same.

1. We are learning how toadd and subtract basic fractions.

2.2. To be able to do simple To be able to do simple fraction calculations.fraction calculations.

Add / Sub Fractions

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Add / Sub Fractions

You can only add or subtract fractions if:

DENOMINATORS ARE THE SAME NUMBER

Example 1 Example 2

3 27 7

7 18 8

57

68

34

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Add Fractions

When dealing with mixed fractions deal with ‘whole’ part first then the fraction part

3 42 1

5 5

3 42 1

5 5

73

5

24

5

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Subtract Fractions

When dealing with mixed fractions deal with ‘whole’ part first then the fraction part

5 1

7 46 6

5 1

7 4 6 6

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6

23

3

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Ex 2Ch4 (page 41)

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FractionsFractions

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1

3 (4 -3 ) - 12

1 132 2

a a b ab

1. Calculate

2. Simplify

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Harder FractionsHarder Fractions


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1.1. Understand and apply rules Understand and apply rules for adding and subtracting for adding and subtracting fractions.fractions.

1. We are learning how to add and subtract fractions with different denominators. 2.2. Convert top heavy Convert top heavy

fractions to mixed fractions to mixed fractions.fractions.

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How can we add or subtract fractions that have different denominators

Step 1 : Find the LCM for the denominators

Step 2 : Convert to equivalent fractions

Step 3 : Add or Subtract the numerator and simplify

Before we can add or subtract they MUST

have the same denominator

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1 12 4



Example 1

Step 1 : Find LCM

Step 2 : Equivalent Fractions

Step 3 : Add/Subtract the numerator

and simplify

LCM of 2 and 4

4

4 4+2 1

43

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1225

5 26 5



Example 1

Step 1 : Find LCM



and simplify

LCM of 5 and 6

30

30 30-

1330

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910

5 36 4



Example 1

Step 1 : Find LCM



and simplify

LCM of 4 and 6

12

12 12+

1912

= =7

121

112 19 R7

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Ex 3Ch4 (page 42)

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FractionsFractions

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24 , 3 2

5

3 14 3

(2 )

56

x y and z z z xy

1. Calculate

2. I f . Find

3. Calculate 60% of £360

4. Make the following top- heavy

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Multiplying Multiplying FractionsFractions


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1.1. Understand the simply Understand the simply rules for multiplying rules for multiplying basic and mixed basic and mixed fractions.fractions.

1. We are learning how to multiply basic and mixed fractions.

2.2. Apply rules correctly.Apply rules correctly.

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Multiplying Multiplying FractionsFractions

Example 1 Example 2

Multiply basic fractions

3 34 5

9

20

4 55 6

2030

23

1. Multiply the numerators

2. Multiply the denominators

MTH 3-07bMTH 3-07cMTH 4-07b

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Ex 4Ch4 (page 42)

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FractionsFractionsHave you

updated your Learning Log ?

Are you on Target ?I can ?

Documents

N5 Num Fractions 17-Dec-15Compiled by Mr. Lafferty Maths Dept. Multiplying Basic Fractions Add & Subtract basic Fractions Add & Sub