Ratio and Its Simplest Form
Ratio and Its Simplest Form
Ratio:
A ratio is the relationship, or comparison, of one quantity to another. In other words we can say that ratio indicates how many times one quantity is contained in the another. quantity For example, if there are ten boys and seven girls in a group of students, then the ratio of boys and girls is ten to seven. And the ratio of girls to boys is seven to ten.
Converting Ratio in Simplest Form:
To simplify a ratio means to reduce it to its smallest, simplest, terms.
Here we will learn how to make the ratio in simplest form.
1. A ratio between two quantities of same kind and in the same units is obtained on dividing one quantity by the other. Ratio does have units as it is being used to compare to quanties in the same units. The ratio is independent of the units used in the quantities compared.
2. The ratio must always be expressed in its simplest form or in its lowest terms.
A ratio is said to be is the simplest form or in the lowest term if two quantities of a ratio (i.e., antecedent and consequent) have no common factor other than 1 or their HCF is 1. (i.e. antecedent and consequent are co-prime)
ILLUSTRATION 1: The ratio between 36 kg and 24 kg
ILLUSTRATION 2: The ratio between 90 cm and 1.5m
Solution: As the two quantities are in diffrent units we will first convert them so that they are in same units
As im= 100cm
1.5 m = 1.5 X 100 = 150 cm
Write 0.25:0.45 in simplest form. | |||
| Right Option : A | |||
| View Explanation | |||
Express the ratio 45:63 in simplest form.
| |||
| Right Option : C | |||
| View Explanation | |||
Find the ratio between 0.4:0.6. | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
Being a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
