Ratio

What is a ratio?

A ratio compares two quantities of the same kind, showing how many times one contains the other. The ratio of aa to bb is written a:ba : b, and it's simplified the same way a fraction is: by dividing both sides by their HCF.

Worked example

The length and breadth of a rectangular park are 75 m and 60 m respectively. What is the ratio of the length to the breadth?

Solution: The ratio is 75:6075 : 60. The HCF of 75 and 60 is 15, so dividing both sides by 15:

75:60=5:475 : 60 = 5 : 4

Continue learning

Ratio and proportion are the same NCERT chapter: proportion is simply two ratios set equal to each other.

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