• addition of ∗ like fractions

∗ related fractions

• (Denominators of given fractions should not exceed 12)

What will we learn today?

Fraction Addition

In the previous lectures, we have learnt about

Mixed Numbers and

Improper Fractions

Let’s recap!

Naming the parts

2 1 5

Whole number

Numerator

Denominator

Three Types of Fractions

There are three types of fraction:

1⅞ ⅞ ⅞ 1

proper fraction improper fraction mixed fraction

Mixed Fractions or Improper Fractions

You can use either an improper fraction or a mixed fraction to show the same amount.

1⅞ = 15

8

Applying what we have learnt

3 simple steps to add fractions:

• Step 1 – Make sure the bottom numbers

(denominators) are the same

• Step 2 – Add the top numbers (numerators), put the

answer over the denominator.

• Step 3 – Simplify the fraction (if necessary).

For example

Simplify the fraction (if necessary).

Add the top numbers (numerators), put the answer over the denominator.

Try this out!

1. Find the value of . 29

7 + 2

7

Solution

1. Find the value of . 29

7 + 2

7

29

7 + 2

7 =

Step 1 Make sure the bottom numbers (denominators) are the same

Solution

1. Find the value of . 29

7 + 2

7

29

7 + 2

7

29+2

7 =

31

7 =

Step 2 Add the top numbers (numerators), put the answer over the denominator.

Solution

1. Find the value of . 29

7 + 2

7

29

7 + 2

7

29+2

7 =

31

7 = Step 3

Simplify the fraction (if necessary).

= 3

7 4

Applying what we have learnt

Try this out!

2. A shop has a total of 212 cameras and radios. After selling of the cameras and 68 radios, the shop had an equal number of cameras and radio left. How many cameras were left in the shop?

1

5

Try this out!

2. A shop has a total of 212 cameras and radios. After selling of the cameras and 68 radios, the shop had an equal number of cameras and radio left. How many cameras were left in the shop?

1

5

camera

radio

Try this out!

2. A shop has a total of 212 cameras and radios. After selling of the cameras and 68 radios, the shop had an equal number of cameras and radio left. How many cameras were left in the shop?

1

5

camera

radio

sold This is 1 out of 5 parts

Try this out!

2. A shop has a total of 212 cameras and radios. After selling of the cameras and 68 radios, the shop had an equal number of cameras and radio left. How many cameras were left in the shop?

1

5

camera

radio

sold

There are 4 units within.

Try this out!

2. A shop has a total of 212 cameras and radios. After selling of the cameras and 68 radios, the shop had an equal number of cameras and radio left. How many cameras were left in the shop?

1

5

camera

radio

sold

68 radios

Try this out!

2. A shop has a total of 212 cameras and radios. After selling of the cameras and 68 radios, the shop had an equal number of cameras and radio left. How many cameras were left in the shop?

1

5

camera

radio

sold

68 radios

212

Try this out!

2. A shop has a total of 212 cameras and radios. After selling of the cameras and 68 radios, the shop had an equal number of cameras and radios left. How many cameras were left in the shop?

1

5

camera

radio

sold

68 radios

212

The shop has an equal number of cameras and radios left. There are also 4 units within.

Try this out!

2. A shop has a total of 212 cameras and radios. After selling of the cameras and 68 radios, the shop had an equal number of cameras and radios left. How many cameras were left in the shop?

1

5

camera

radio

sold

68 radios

212

Count the number of the units which have the same size. There are 9 units which are of the same size.

Try this out!

2. A shop has a total of 212 cameras and radios. After selling of the cameras and 68 radios, the shop had an equal number of cameras and radios left. How many cameras were left in the shop?

1

5

camera

radio

sold

68 radios

212

Step 1: 212 – 68 = 144

Try this out!

2. A shop has a total of 212 cameras and radios. After selling of the cameras and 68 radios, the shop had an equal number of cameras and radios left. How many cameras were left in the shop?

1

5

camera

radio

sold

68 radios

212

Step 1: 212 – 68 = 144 Step 2: 212 ÷ 9 = 16

Try this out!

2. A shop has a total of 212 cameras and radios. After selling of the cameras and 68 radios, the shop had an equal number of cameras and radios left. How many cameras were left in the shop?

1

5

camera

radio

sold

68 radios

212

Step 1: 212 – 68 = 144 Step 2: 212 ÷ 9 = 16

Each small unit represent 16 items

Try this out!

2. A shop has a total of 212 cameras and radios. After selling of the cameras and 68 radios, the shop had an equal number of cameras and radios left. How many cameras were left in the shop?

1

5

camera

radio

sold

68 radios

212

Step 1: 212 – 68 = 144 Step 2: 212 ÷ 9 = 16 Step 3: 16 x 4 = 64

Each small unit represent 16 items

?

Summary

• Step 1 – Make sure the bottom numbers

(denominators) are the same

• Step 2 – Add the top numbers (numerators), put the

answer over the denominator.

• Step 3 – Simplify the fraction (if necessary).

Are you ready to try out the questions?

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