Division of Rational Numbers


 
 
Concept Explanation
 

Division of Rational Numbers

Division of Rational Numbers:

Divisions of rational numbers are similar to the divisions of fractions. To find the quotient of rational numbers, we need to recollect the concept of reciprocal of a rational number. Reciprocal of a rational number is nothing but the swapping of the numerator and denominator of that rational number i.e. invert the given the rational number will give you the reciprocal of that rational number. For example, 7/6 is the reciprocal of 6/7 . The product of a number and its reciprocal will always be 1.

In order to divide rational number, first change the division sign  to . Then take the reciprocal of the number after the sign and multiply.

Example 5: Divide 11/12 and  7/4

Solution: To evaluate 11/12÷7/4

  • Change the division sign ÷ to x.
  • Take the reciprocal of 7/4 which is equal to 4/7.
  • Multiply

    rational number

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    Sample Questions
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    Question : 1

    Divide:   frac{2}{3}by frac{-7}{12}

    Right Option : A
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    Explanation
    Question : 2

    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
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    Explanation
    Question : 3

    The cost of large 3frac{1}{3} meters of cloth is Rs  75. Find the cost of cloth per metre.

    Right Option : C
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    Explanation
     
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