What is reciprocal example?
Mia Phillips
Updated on April 30, 2026
A reciprocal, or multiplicative inverse, is simply one of a pair of numbers that, when multiplied together, equal 1. For example, the reciprocal of 2/3 is 3/2 (or 1-1/2) , because 2/3 x 3/2 = 1. The reciprocal of 7 is 1/7 because 7 x 1/7 = 1.
What does take the reciprocal mean?
The reciprocal of a number is 1 divided by that number. So, for example, the reciprocal of 3 is 1 divided by 3, which is 1/3. By taking the reciprocal twice, we got back to where we started. Reciprocal of a Reciprocal is the Original Number. To reverse a reciprocal, you take the reciprocal all over again.
What is meant by reciprocal in mathematics?
The reciprocal of a fraction is just switching the numerator (top number) and the denominator (bottom number). The negative reciprocal takes the negative of that number.
What are reciprocals used for?
Reciprocal numbers are often used to get rid of a fraction in an equation that contains an unknown variable, making it easier to solve. It is also used to divide a fraction by another fraction.
What is the reciprocal of 7 2 as a fraction?
A reciprocal of a fraction ab is created by changing places of numerator and denominator (it can only be done if the numerator of the original fraction a is different from zero), so it is ba . So in the given example the reciprocal of 72 is 27 .
What does the name reciprocal mean?
In math, what does reciprocal mean? A reciprocal, or multiplicative inverse, is simply one of a pair of numbers that, when multiplied together, equal 1. If you can reduce the number to a fraction, finding the reciprocal is simply a matter of transposing the numerator and the denominator.
How to find the reciprocal math?
Change it to a fraction if possible. You might recognize some common decimal numbers that can easily be turned into fractions.
How to find the negative reciprocal?
Convert the number 17 in the improper fraction. (i.e) 17/1.
How do you multiply by the reciprocal?
Use the following steps to solve for the variable, using reciprocals. Multiply each side by the reciprocal. In this example, the variable is multiplied by 4/5. So each side of the equation needs to be multiplied by the reciprocal 5/4. Reduce and simplify.
