fraction rules
TRANSCRIPT
![Page 1: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/1.jpg)
Mr. Standring Math
FractionsSuper-ultra-mega solving skills ;)
![Page 2: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/2.jpg)
Mr. Standring Math
This presentation will help you to: add subtract multiply and divide fractions
Fractions
![Page 3: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/3.jpg)
Mr. Standring Math
To add fractions together the denominator (the bottom bit) must be the same.
Example
Adding fractions
8
2
8
1
![Page 4: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/4.jpg)
Mr. Standring Math
To add fractions together the denominator (the bottom bit) must be the same.
Example
Adding fractions
8
2
8
1
8
21
![Page 5: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/5.jpg)
Mr. Standring Math
To add fractions together the denominator (the bottom bit) must be the same.
Example
Adding fractions
8
2
8
1
8
21
8
3
![Page 6: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/6.jpg)
Mr. Standring Math
Click to see the next slide to reveal the answers.
1. 2.
3. 4.
Now try these
3
1
3
1
12
7
12
3
7
4
7
2
4
1
4
2
![Page 7: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/7.jpg)
Mr. Standring Math
1. 2.
3. 4.
Now try these
3
1
3
1
12
7
12
3
7
4
7
2
4
1
4
2
3
24
3
7
6
12
10
![Page 8: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/8.jpg)
Mr. Standring Math
Subtracting fractions
8
2
8
3
To subtract fractions the denominator (the bottom bit) must be the same.
Example
![Page 9: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/9.jpg)
Mr. Standring Math
Subtracting fractions
8
2
8
3
8
23
To subtract fractions the denominator (the bottom bit) must be the same.
Example
![Page 10: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/10.jpg)
Mr. Standring Math
Subtracting fractions
8
2
8
3
8
23
8
1
To subtract fractions the denominator (the bottom bit) must be the same.
Example
![Page 11: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/11.jpg)
Mr. Standring Math
Now try these
Click on the next slide to reveal the answers.
1. 2.
3. 4.
3
1
3
2
12
3
12
77
3
7
4
4
1
4
2
![Page 12: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/12.jpg)
Mr. Standring Math
Now try these
.
1. 2.
3. 4.
3
1
3
2
12
3
12
77
3
7
4
4
1
4
2
3
14
1
7
1
12
4
![Page 13: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/13.jpg)
Mr. Standring Math
Multiplying fractions
To multiply fractions we multiply the tops and multiply the bottoms
Top x Top
Bottom x Bottom
![Page 14: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/14.jpg)
Mr. Standring Math
Multiplying fractions
Example
3
1
2
1
![Page 15: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/15.jpg)
Mr. Standring Math
Multiplying fractions
Example
3
1
2
1
32
11
![Page 16: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/16.jpg)
Mr. Standring Math
Multiplying fractions
Example
3
1
2
1
32
11
6
1
![Page 17: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/17.jpg)
Mr. Standring Math
Now try these
Click on the next slide to reveal the answers.
1. 2.
3. 4.
3
1
3
1
5
3
3
1
5
4
4
2
4
1
4
2
![Page 18: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/18.jpg)
Mr. Standring Math
Now try these
.
1. 2.
3. 4.
3
1
3
1
5
3
3
1
5
4
4
2
4
1
4
29
116
2
20
8
15
3
![Page 19: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/19.jpg)
Mr. Standring Math
Dividing fractions
Once you know a simple trick, dividing is as easy as multiplying!
• Turn the second fraction upside down
• Change the divide to multiply
• Then multiply!
![Page 20: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/20.jpg)
Mr. Standring Math
Dividing fractions
• Turn the second fraction upside down
Example ?3
1
6
1
1
3
6
1
![Page 21: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/21.jpg)
Mr. Standring Math
Dividing fractions
• Turn the second fraction upside down
Example ?3
1
6
1
1
3
6
1
• Change the divide into a multiply
1
3
6
1
![Page 22: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/22.jpg)
Mr. Standring Math
Dividing fractions
• Turn the second fraction upside down
Example ?3
1
6
1
1
3
6
1
• Change the divide into a multiply
1
3
6
1
• Then multiply
16
31
1
3
6
1
![Page 23: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/23.jpg)
Mr. Standring Math
Dividing fractions
• Turn the second fraction upside down
Example ?3
1
6
1
1
3
6
1
• Change the divide into a multiply
1
3
6
1
• Then multiply
16
31
1
3
6
1
6
3
![Page 24: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/24.jpg)
Mr. Standring Math
Now try these
Click on the next screen to reveal the answers.
1. 2.
3. 4.
2
1
3
1
5
4
2
1
6
2
4
1
3
2
4
1
![Page 25: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/25.jpg)
Mr. Standring Math
Now try these
1. 2.
3. 4.
2
1
3
1
5
4
2
1
6
2
4
1
3
2
4
1
3
28
3
8
6
8
5
![Page 26: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/26.jpg)
Mr. Standring Math
To add or subtract fractions together the denominator (the bottom bit) must be the same.
Common denominators
So, sometimes we have to change the bottoms to make them the same.
In “maths-speak” we say we must get common denominators
![Page 27: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/27.jpg)
Mr. Standring Math
To get a common denominator we have to:
Common denominators
1. Multiply the bottoms together.
2. Then multiply the top bit by the correct number to get an equivalent fraction
![Page 28: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/28.jpg)
Mr. Standring Math
For example
Common denominators
?3
1
2
1
![Page 29: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/29.jpg)
Mr. Standring Math
For example
Common denominators
1. Multiply the bottoms together
?3
1
2
1
632
![Page 30: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/30.jpg)
Mr. Standring Math
For example
Common denominators
?3
1
2
1
2. Write the two fractions as sixths
6
?
2
1
6
?
3
1
![Page 31: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/31.jpg)
Mr. Standring Math
For example
Common denominators
?3
1
2
1
To get ½ into sixths we have multiplied the bottom (2) by 3. To get an equivalent fraction we need to multiply the top by 3 also
![Page 32: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/32.jpg)
Mr. Standring Math
For example
Common denominators
?3
1
2
1
To get ½ into sixths we have multiplied the bottom (2) by 3. To get an equivalent fraction we need to multiply the top by 3 also
6
3
6
31
2
1
![Page 33: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/33.jpg)
Mr. Standring Math
For example
Common denominators
?3
1
2
1
To get 1/3 into sixths we have multiplied the bottom (3) by 2. To get an equivalent fraction we need to multiply the top by 2 also
![Page 34: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/34.jpg)
Mr. Standring Math
For example
Common denominators
?3
1
2
1
To get 1/3 into sixths we have multiplied the bottom (3) by 2. To get an equivalent fraction we need to multiply the top by 2 also
6
2
6
21
3
1
![Page 35: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/35.jpg)
Mr. Standring Math
For example
Common denominators
?3
1
2
1
We can now rewrite
3
1
2
1
![Page 36: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/36.jpg)
Mr. Standring Math
For example
Common denominators
?3
1
2
1
We can now rewrite
6
2
6
3
3
1
2
1
![Page 37: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/37.jpg)
Mr. Standring Math
For example
Common denominators
?3
1
2
1
We can now rewrite
6
2
6
3
3
1
2
1
6
23
![Page 38: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/38.jpg)
Mr. Standring Math
For example
Common denominators
?3
1
2
1
We can now rewrite
6
2
6
3
3
1
2
1
6
23
6
1
![Page 39: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/39.jpg)
Mr. Standring Math
Common denominators
This is what we have done:
3
1
2
1
1. Multiply the bottoms
6
?
6
?
![Page 40: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/40.jpg)
Mr. Standring Math
Common denominators
This is what we have done:
3
1
2
1
1. Multiply the bottoms
6
?
6
?
2.Cross multiply
6
?
6
31
![Page 41: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/41.jpg)
Mr. Standring Math
Common denominators
This is what we have done:
3
1
2
1
1. Multiply the bottoms
6
?
6
?
2.Cross multiply
6
21
6
3
6
?
6
31
![Page 42: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/42.jpg)
Mr. Standring Math
Common denominators
This is what we have done:
3
1
2
1
1. Multiply the bottoms
6
?
6
?
2.Cross multiply
6
21
6
3
6
?
6
31
6
2
6
3
![Page 43: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/43.jpg)
Mr. Standring Math
Now try these
Click on the next slide to reveal the answers.
1. 2.
3. 4.
2
1
3
1
2
1
5
4
6
1
4
3
3
2
4
1
24
14
![Page 44: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/44.jpg)
Mr. Standring Math
Now try these
1. 2.
3. 4.
2
1
3
1
2
1
5
4
6
1
4
3
3
2
4
1
6
512
11
24
1410
3
12
7
![Page 45: Fraction rules](https://reader036.vdocuments.us/reader036/viewer/2022062307/556c4637d8b42a23608b4acc/html5/thumbnails/45.jpg)
Mr. Standring Math
Go to: BBC Bitesize Maths Revision site
by clicking here:
For further info