Reciprocal and Negative Fractions: A comprehensive guide
Reciprocal of a negative fraction may be complex to understand because it involves two processes at the same time. To solve such problems, you have to be proficient in finding the reciprocal and conversion of a fraction to its negative. If you don’t know about this specific measurement, just read this blog till the end.
A reciprocal negative fraction is the reciprocal of a fraction that gives “-1” as the resultant when multiplied with the original fraction. It means that the answer must be reciprocal of the original as well as the negative of the fraction. Following the solution step by step can help you in finding the solution to such questions.
How to find the Reciprocal of a negative fraction?
To find the reciprocal of a negative fraction, you need to follow two steps. Here are those steps:
- Find the reciprocal of the original fraction by interchanging the numerator and denominator.
- Multiply the new equation by “-1”.
By following these steps, one can find the negative reciprocal of any fraction within minutes. Sometimes, you may have complex equations or multiple ones to find the answer. It will be difficult to complete your work on time in such conditions.
You can get help from the Reciprocal calculator that can find the reciprocal of an integer and fraction quickly. Using this tool, you can find the reciprocal of as many fractions or integers as you need to complete your assignment. By multiplying the answer you have got from it by “-1”, you can get the negative reciprocal fraction.
How to Calculate Reciprocal Negative Fractions?
To give you a clear preview of the reciprocal of a negative fraction, we have solved an example here.
example1:
Find the negative reciprocal of 3/10.
Solution:
As mentioned, we have to find the reciprocal of the original fraction. So,
Reciprocal of 3/10 = 10/3
Now, we have to multiply the new fraction by “-1”. So, it will give a negative reciprocal of the fraction.,
Negative reciprocal of a fraction = -10/3
For verification, we can multiply this fraction by the original fraction given in the question.
3/10 x (-10/3) = -1
It is proved that -10/3 is the negative reciprocal of 3/10 because it gives “-1” on multiplication.
Conclusion
We hope that the above discussion about the reciprocal of a negative fraction has cleared your doubts about this topic. For your understanding, we have solved an example here with step by step guide.
You can try solving fractions to find their negative reciprocals or get assistance from our Reciprocal calculator for better understanding. It will help you in memorizing the solution and learning the method to find this term.
FAQ
What is the reciprocal of a negative fraction?
The reciprocal of a negative fraction is the fraction that gives “-1” as the answer when it is multiplied by the original fraction.
How to find the reciprocal of a negative fraction?
You can find the reciprocal of a negative fraction by finding the reciprocal of the original fraction and multiplying the answer by “-1”.
What is the negative reciprocal of a negative fraction?
The negative reciprocal of a negative fraction will be a positive fraction.
What is the negative reciprocal of 1/- 5 fraction?
The negative reciprocal fraction of 1/-5 will be +5.
What is a negative reciprocal of 3?
The negative reciprocal of 3 will be -1/3.
What is a negative reciprocal of 2/5?
The negative reciprocal of 2/5 will be -5/2.
