PPSHS - Year 8 Maths: Simplifying Ratios

What is the correct approach to simplifying ratios?

• Divide all numbers by the HCF, regardless of their units

• Convert all numbers to same unit; Identify HCF of all numbers; and divide all numbers by the HCF

• Identify HCF of all numbers; and convert all numbers to same unit

• Convert all numbers to same unit

When simplifying ratios:

• Numbers DON'T have to be expressed in the same units

• Ratios DON'T have to be expressed in whole numbers (ie. can use fractions)

• Numbers DO have to be in same units, ratios DO have to be in whole numbers

• Numbers DO have to be in same units, but ratios DON'T have to be in whole numbers

• 3

• 5

• 4

• 7

If a ratio is expressed in whole numbers, it is simplified by:

• Identifying and multiplying all numbers by HCF

• Identifying and multiplying all numbers by LCF

• Identifying and dividing all numbers by HCF

• Identifying and dividing all numbers by LCF

If a ratio is expressed in fractions, it is converted to equivalent fractions by:

• Using the HCF

• Using the LCD

• Using the HCD

• Using the LCF

• 30

• 60

• 40

• 90

Simplify 7:21.

• 3:7

• 3:21

• 1:3

• 7:3

Simplify 26:13.

• 13:1

• 2:1

• 1:2

• 2:13

Simplify 45:35.

• 9:7

• 7:9

• 5:7

• 9:5

Simplify 2:4:6

• 2:2:3

• 2:4:3

• 1:2:6

• 1:2:3