1. Therefore, Multiply (x) by 2
EQUIVALENT FRACTIONS
Therefore, Multiply (x) by 2 10 5 9 = 18
Multiplied (x) by 2

2. Therefore, Multiply (x) by 7
EQUIVALENT FRACTIONS
Multiplied (x) by 7 35 5 11 = 77
Therefore, Multiply (x) by 7

3. = = 1 3 12 9 4 36 OR Multiplied (X) by 3 Divide (÷) by 3
EQUIVALENT FRACTIONS
Multiplied (X) by 3
Divide (÷) by 3 OR 1 3 12 9 = = 4 36
Divide (÷) by 3
Multiply (x) by 3

4. 12÷3 = 4 exactly and 12÷6 = 2 exactly.
SIMPLIFICATION
OPTION 1
Divide both the numerator and the denominator by the Highest Common Factor (HCF) or the Greatest Common Factor (GCF)
A factor, is a number that divides another number evenly without a remainder. For instance, 3 and 6 are factors of 12 because
12÷3 = 4 exactly and 12÷6 = 2 exactly.
In fact, 1, 2, 3, 4, 6 and 12 are factors of 12

5. SIMPLIFICATION
Divide (÷) by HCF: 12 24 60 3 = 5
Divide (÷) by HCF: 12

6. = 125 1000 1 8 Divide (÷) by HCF: 125 Divide (÷) by HCF: 125
SIMPLIFICATION
Divide (÷) by HCF: 125
125
1000 1 = 8
Divide (÷) by HCF: 125

7. SIMPLIFICATION
OPTION 2
Divide both the numerator and the denominator by 1. Highest Common Factor (HCF) 2. Lowest Common Factor (LCF) – [or any other factor], until you can't go any further (try dividing using the prime numbers: 2,3,5,7,11... etc), therefore use the Lowest Common Prime Number (LCPN). 
Example on next slide:

8. = = = 24 60 12 6 3 30 15 5 Divide (÷) by LCPN: 2 Divide (÷) by LCPN: 2
SIMPLIFICATION
Divide (÷) by LCPN: 2 24 60 12 6 3 = = = 30 15 5
Divide (÷) by LCPN: 2

9. SIMPLIFICATION
Divide (÷) by LCPN: 5
125
1000 25 5 1 = = =
200 40 8
Divide (÷) by LCPN: 5

10. FRACTIONS MENU LINK:
EQUIVALENT FRACTIONS LINK:
SIMPLIFYING FRACTIONS LINK: