Division of Rational Numbers
Division of Rational Numbers
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 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 | |||
Divide the sum of | |||
| Right Option : A | |||
| View Explanation | |||
Divide: | |||
| Right Option : A | |||
| View Explanation | |||
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