Converting units before simplifying a ratio

A ratio of like quantities must compare values in the same units.

  • A ratio of like quantities must compare values in the same units.
  • Convert both quantities to one unit before removing the unit labels.
  • Only then divide every part by a common factor.

Example 1

Simplify the ratio.

Convert metres to centimetres by multiplying by 100.

Example 2

Simplify the ratio.

Convert metres to centimetres by multiplying by 100.

Remember
Use the worked steps to check your method, not just the final answer.

Your turn

Question 1

Simplify the ratio.

Check answer
Convert metres to centimetres by multiplying by 100.
Question 2

Simplify the ratio.

Check answer
Convert metres to centimetres by multiplying by 100.
Question 3

Simplify the ratio.

Check answer
Convert metres to centimetres by multiplying by 100.
Question 4

Simplify the ratio.

Check answer
Convert metres to centimetres by multiplying by 100.
Question 5

Simplify the ratio.

Check answer
Convert metres to centimetres by multiplying by 100.