All Basic Arithmetic Resources
Example Question #1 : Manipulation Of Fractions
What is the reciprocal of ?
To get the reciprocal of a fraction, you simply switch the numerator and the denominator.
In our case our numerator is and our denominator is .
So becomes .
Example Question #1 : Reciprocals
We will need to rewrite this in order to eliminate the negative exponent in the problem.
Because the denominator has a negative exponent, that is the same as having a positive exponent in the numerator. Therefore we can rewrite the problem as follows and then multiply.
Example Question #2 : Reciprocals
To divide a term by a fraction, take the reciprocal of the fraction.
Then mutiply both terms.
Example Question #3 : Reciprocals
What is the sum of the reciprocal of and ?
To find the reciprocal of a fraction, flip the numerator and the denominator.
Thus, the reciprocal of is .
Then we need to find the sum of 4 and 7, which is 11.
Example Question #4 : Manipulation Of Fractions
What is the reciprocal of multiplied by the reciprocal of ?
To find the reciprocal of a fraction, we simply need to switch the numerator and the denominator: for example, the reciprocal of a fraction is .
With integers, it helps to remember that all integers are really fractions with a denominator of :
, , and
The reciprocals of these numbers are and respectively.
Therefore, to solve the problem, we first need to find the reciprocals of and . If we keep in mind that , we can determine that the reciprocals are and , respectively. The product of these two numbers is:
is our final answer.