RATIO & PROPORTIONS
RATIO & PROPORTION Ratio A ratio is a comparison of two quantities. ● A ratio can be written as a fraction; ratios are mostly written in the simplest form. ● In the above example, the ratio of rice to water in terms of the number of cups can be written in three different ways as 1 : 2 or 1/2 or 1 to 2 . Properties of Ratio ● A ratio has no unit. It is a number. For example, the ratio of 8 km to 4 km is written as 8 : 4 = 2 : 1 and not 2 km : 1 km. ● The two quantities of a ratio should be of the same unit. The ratio of 4 km to 400 m is expressed as (4 × 1000) : 400 = 4000 : 400 = 10 : 1 ● Each number of the ratio is called a term. ● Order of the terms in a ratio cannot be reversed. We can get equivalent ratios by multiplying or dividing the numerator and denominator by a common number. Proportion When two ratios are equal , we say that the ratios are in Proportion. This is denoted as a : b : : c : d and it is read as ‘a is to b as c is to d’....
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