1. Fractions

3. Jo’s maths page is here…
BKBS is here…

4. Quick wits – Week Three

5. By the end of this week’s lessons, you will be able to:
Write a fraction in its simplest form
Convert mixed numbers to improper fractions
Calculate fractions
Calculate a fraction of a quantity

6. Fractions & Decimals
To turn fractions into decimals and decimals into fractions we need to remember column names
Thousandths
Hundreds
Tens
Units
Tenths
Hundredths

7. 0.03 0.5 Decimals & Fractions is 3 hundredths is 5 tenths 3 100 5 10

8. 0.12 0.01 Decimals to Fractions is 1 hundredth 12 is 12 hundredths 100
Tenths 12
100
0.12
is 12 hundredths
Tenths
Hundredths 1
100
0.01
is 1 hundredth

9. Equivalent fractions

10. Simplifying fractions
It is often best to have the numbers possible when we write fractions
12 20 3 5
Instead of
we would have
We have cancelled the fractions down, by dividing top and bottom numbers by the same number (in this case 4)

11. 15 35 3 7 =
Divide by 5
24 36 2 3 =
Divide by 12
55 66 5 6 =
Divide by 11

12. Number of parts chosen Total number of parts
How to change a mixed number to an improper fraction:
Fraction notation
How to change a mixed number to an improper fraction:
Number of parts chosen
Total number of parts

13. Finding Fractions of Amounts2 7
If you are asked for of an amount 1 7 2 7
Find by dividing by 7 and then find by multiplying by 2. 2 7
To find of 35:
35 ÷ 7 = x 2 = 10 2 7
of 35 is 10

14. Finding Fractions of Amounts5 9
If you are asked for of an amount 1 9 5 9
Find by dividing by 9 and then find by multiplying by 5. 5 9
To find of 63:
63 ÷ 9 = x 7 = 35 5 9
of 63 = 35

15. Finding Fractions of Amounts
A quick way to remember what to do is:
“Divide by the bottom, times by the top”

16. Finding fractional amounts
Apply skills and knowledge to find fractional amounts

17. Lesson 2

19. Jo’s maths page is here…
BKBS is here…

20. An improper fraction is when the ‘numerator’ is bigger than the ‘denominator’.5 9 7 4 12 15 12 10

21. How to change a mixed number to an improper fraction:1 3 7 4
Whole number (1) x
Denominator (4) +
Numerator (3)
= 7
7 becomes the numerator
The denominator stays the same as in the mixed number, in this case 4.

22. How to change a mixed number to an improper fraction:2 4 14 5
Whole number (2) x
Denominator (5) +
Numerator (3)
= 14
14 becomes the numerator
The denominator stays the same as in the mixed number, in this case 5.

23. Now you know the rule, let’s just use numbers:3 3 24 7 3 x 7 3 +
= 24

24. Adding and subtracting fractions
make sure the bottom numbers are the same by finding a common denominator.
add or subtract the numerators (top numbers). Put your answer over the common denominator you found in step one.
simplify the fraction if needed

25. Multiplying fractions
Multiply the numerators
Multiply the denominators
simplify the fraction if needed
5 8
3 8
2 5
3 4
1 2
1 4 1 2 x x x

26. Dividing fractions - KFC
K – keep the first fraction
F - flip the fraction you are dividing by
C -change division sign for multiplication
Then proceed as you would for multiplying fractions…
Multiply the numerators
Multiply the denominators
simplify the fraction if needed

27. Dividing fractions - KFC
2 3
4 5
3 4
1 2
1 3
3 4 3 2 ÷ ÷ ÷

28. Applying skills

29. Individual study
Developing skills