Express 8 mm : 4 cm as a ratio in simplest form (1 cm = 10 mm).

Class 6Ratio and ProportionRatio and Proportion

A2 : 1
B5 : 1
C1 : 5
D1 : 4

Step-by-Step Solution

Convert to one unit: 4 cm = 40 mm. Ratio = 8 : 40 = 1 : 5 (divide both by 8). Comparing 8 with 4 straight away gives 2 : 1, but millimetres and centimetres are different units, so that comparison means nothing until you convert. 5 : 1 reverses the order.

Answer: C) 1 : 5

Key idea: What a ratio means

The ratio 2 : 3 says: for every 2 of one thing, there are 3 of another. In a fruit basket of 2 apples and 3 oranges, the ratio of apples to oranges is 2 : 3. **Order matters** — the ratio of oranges to apples in the same basket is 3 : 2. The two quantities must be in the same unit (you can't ratio apples to kilograms unless you convert).

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