Ratio and Proportion

Ratio: The ratio of two quantities a and b of the same kind and in the same units is the fraction ~ written as , read as* ‘a is to b’*.

Terms of a ratio: In the ratio , we call *a *as the first term or antecedent and *b* as the second term or consequent.

Thus, in the ratio , the antecedent is 2·and the consequent is 5.

An Important Property

If both the terms of a ratio are multiplied or divided by the same non-zero quantity, then the ratio remains unchanged.

i.e., if , then

or we can say

or we can say

Ratio in Simplest Form

A ratio is said to be in simplest form, if the H. C. F. of *a* and* b* is 1.