The document discusses addition of fractions. It begins by recapping different types of fractions like proper fractions, improper fractions, and mixed fractions. It then provides a 3 step process for adding fractions: 1) Make the denominators the same, 2) Add the numerators and put the sum over the denominator, and 3) Simplify the fraction if possible. An example using fractions with denominator of 7 is provided. The document concludes by providing a multi-step word problem asking to determine the number of cameras left in a shop.
1. Fraction
Addition
What will we learn today?
• addition of
∗ like fractions
∗ related fractions
• (Denominators of given fractions
should not exceed 12)
2. In the previous lectures,
we have learnt about
Mixed Numbers
and
Improper Fractions
Let’s recap!
7. 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).
8. For example
Add the top numbers (numerators),
put the answer over the denominator.
Simplify the fraction (if necessary).
10. Solution
29 2
1. Find the value of
7 + 7
.
29 2
7 + 7
=
Step 1
Make sure the
bottom numbers
(denominators)
are the same
11. Solution
29 2
1. Find the value of
7 + 7
.
Step 2
29 2 29+2
7 + 7
= 7
Add the top
numbers
(numerators),
31
= 7
put the answer
over
the denominator.
12. Solution
29 2
1. Find the value of
7 + 7
.
29 2 29+2
7 + 7
= 7
31
= 7
Step 3
Simplify the fraction
4
3 (if necessary).
= 7
14. Try this out!
2. A shop has a total of 212 cameras and radios.
1
After selling of the cameras and 68
5
radios, the shop had an equal number of
cameras and radio left. How many cameras
were left in the shop?
15. Try this out!
2. A shop has a total of 212 cameras and radios.
1
After selling of the cameras and 68
5
radios, the shop had an equal number of
cameras and radio left. How many cameras
were left in the shop?
camera
radio
16. Try this out!
2. A shop has a total of 212 cameras and radios.
1
After selling of the cameras and 68
5
radios, the shop had an equal number of
cameras and radio left. How many cameras
were left in the shop?
camera sold This is 1 out of 5 parts
radio
17. Try this out!
2. A shop has a total of 212 cameras and radios.
1
After selling of the cameras and 68
5
radios, the shop had an equal number of
cameras and radio left. How many cameras
were left in the shop?
There are 4 units within.
camera sold
radio
18. Try this out!
2. A shop has a total of 212 cameras and radios.
1
After selling of the cameras and 68
5
radios, the shop had an equal number of
cameras and radio left. How many cameras
were left in the shop?
camera sold
radio 68 radios
19. Try this out!
2. A shop has a total of 212 cameras and radios.
1
After selling of the cameras and 68
5
radios, the shop had an equal number of
cameras and radio left. How many cameras
were left in the shop?
camera sold
212
radio 68 radios
20. Try this out!
2. A shop has a total of 212 cameras and radios.
1
After selling of the cameras and 68
5
radios, the shop had an equal number of
cameras and radios left. How many cameras
were left in the shop?
camera sold
212
radio 68 radios
The shop has an equal number of cameras and radios left.
There are also 4 units within.
21. Try this out!
2. A shop has a total of 212 cameras and radios.
1
After selling of the cameras and 68
5
radios, the shop had an equal number of
cameras and radios left. How many cameras
were left in the shop?
camera sold
212
radio 68 radios
Count the number of the units which have the same size.
There are 9 units which are of the same size.
22. Try this out!
2. A shop has a total of 212 cameras and radios.
1
After selling of the cameras and 68
5
radios, the shop had an equal number of
cameras and radios left. How many cameras
were left in the shop?
camera sold
212
radio 68 radios
Step 1: 212 – 68 = 144
23. Try this out!
2. A shop has a total of 212 cameras and radios.
1
After selling of the cameras and 68
5
radios, the shop had an equal number of
cameras and radios left. How many cameras
were left in the shop?
camera sold
212
radio 68 radios
Step 1: 212 – 68 = 144
Step 2: 212 ÷ 9 = 16
24. Try this out!
2. A shop has a total of 212 cameras and radios.
1
After selling of the cameras and 68
5
radios, the shop had an equal number of
cameras and radios left. How many cameras
were left in the shop?
camera sold
212
radio 68 radios
Step 1: 212 – 68 = 144 Each small unit
Step 2: 212 ÷ 9 = 16 represent 16 items
25. Try this out!
2. A shop has a total of 212 cameras and radios.
1
After selling of the cameras and 68
5
radios, the shop had an equal number of
cameras and radios left. How many cameras
were left in the shop?
?
camera sold
212
radio 68 radios
Step 1: 212 – 68 = 144 Each small unit
Step 2: 212 ÷ 9 = 16 represent 16 items
Step 3: 16 x 4 = 64
26. 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).