Division of Rational Numbers:
Recall that division of fractions is the inverse of multiplication. In case of rational number also, division is the inverse of multiplication as defined below:
Division: If x and y are two rational numbers such that , then the result of dividing x and y is the rational number obtained on multiplying x by the reciprocal of y.
When x is divided by y, we write
Thus, we have
If and are two rational numbers such that , then
Dividend: The number to be divided is called the dividend.
Divisor: The number which divides the dividend is called the divisor.
Quotient: When dividend is divided by the divisor, the result of the division is called the quotient.
If is divided by , then is the dividend, is the divisor, and
is the quotient.
Example: Divide:
Solution
If 30 trousers of equal size can be prepared in 54 meters of cloth, length of cloth is required for each trouser is ________________ | |||
Right Option : C | |||
View Explanation |
If 24 trousers of equal size can be prepared in 54 meters of cloth, what length of cloth is required for each trouser ? | |||
Right Option : A | |||
View Explanation |
The cost of meters of cloth is Rs . Find the cost of cloth per metre. | |||
Right Option : D | |||
View Explanation |
A 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.
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.
I 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
About 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.
My experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
It 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
One of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
It 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.
Abhyas 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.
Abhyas 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.