Ratio | Definition of ratio with examples | Comparison of two quantities | скачать в хорошем качестве

Ratio | Definition of ratio with examples | Comparison of two quantities |

#Ratio | Definition of ratio with examples | How to solve questions on ratio | #Comparison of two quantities | #Ratio with no unit | Two quantities to be expressed in same unit | Class 10th topic on ratio | Lecture on topic ratio | Dear viewers, it is my pleasure to deliver you mathematics tutorials in simple and native language so that you can get it easily | #Maths Made Easy is a channel where you can improve your #Mathematics | This is an education channel where maths made easy will try to solve your problems | Students may send the problems they are facing through comments | #Ratio Meaning In certain situations, the comparison of two quantities by the method of division is very efficient. We can say that the comparison or simplified form of two quantities of the same kind is referred to as a ratio. This relation gives us how many times one quantity is equal to the other quantity. In simple words, the ratio is the number that can be used to express one quantity as a fraction of the other ones. The two numbers in a ratio can only be compared when they have the same unit. We make use of ratios to compare two things. The sign used to denote a ratio is ‘:’. A ratio can be written as a fraction, say 2/5. We happen to see various comparisons or say ratios in our daily life. Hence, the ratio can be represented in three different forms, such as: a to b a : b a/b Key Points to Remember: The ratio should exist between the quantities of the same kind While comparing two things, the units should be similar There should be significant order of terms The comparison of two ratios can be performed, if the ratios are equivalent like the fractions. Concept Of Ratio The concept of ratio and proportion explains how to solve ratios, types of ratios, ratio formula, etc. A ratio is a mathematical expression of comparing two similar or different quantities by division. This expression can be expressed from ratio to percentage form by conversion method. It is denoted by ‘:’ symbol. For example, 2:3, 5:6, 3:7, etc. are ratios. It is also represented by ‘/’ symbol. Hence, the ratio is basically a type of division method. It helps one to compare two things of the same dimensions or of different dimensions. For example, in a box, there are 9 red balls and 12 black balls. When we have to find the ratio of red balls to black balls, it means how many numbers of red balls are there as compared to black balls. Here, a number of red balls to black balls are written in form 9:12 (i.e. nine is to twelve) which is same as 3:4 (simplified form). It tells how much amount of the first quantity is there as compared to that of the second quantity. How to Solve Ratios? Several quantities such as height, weight, length, objects, population, etc can be compared in terms of ratio. Generally, it is expressed using the word “to” i.e. such as red balls to black balls. There are other two notations of expressing it, one by using “:” (9:12) which is called odds notation and another one is fractional notation using “/” (9/12). Another important thing to be followed is the order. When we say the ratio of red balls to black balls, the number representing red ball must come first i.e. 9:12 is not same as 12:9. It compares not only the quantities of similar dimensions but also that of different dimensions. For example, women are to men in a population, boys are to girls in a class etc. are a comparison of the same dimensions while speed is to time is a comparison of two different dimensions.