## What is the reciprocal of 7? Homework Study.com

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Fractions are numbers in the form a/b, where a is the numerator of the fraction, and b is the denominator of the fraction. The reciprocal of a fraction is extremely simple to find based on its definition. In mathematics, the reciprocal, also known as multiplicative inverse, is the inverse of a number x. This means that the product of a number x and its reciprocal yields 1. To find the reciprocal of a fraction, we invert the fraction.

## How to Find the Reciprocal

Write the reciprocal of a whole number as a fraction. Again, the reciprocal of a number is always 1 Ã· .

To find the reciprocal of a number, divide 1 by the number. The name reciprocal comes from Latin, possibly from the phrase reque proque, meaning back and forth. The reciprocal number to x may be denoted simply as 1/x but also as x-1. Thus, raising the number to the power of minus one is the same as finding its reciprocal.

## Add your answer:

Remember, the number 1 can always be written as /, and fractions with the same denominator can be added together. Reciprocals are helpful in all sorts of algebraic equations. For example when you are dividing one fraction by another you multiply the first by the Reciprocal of the 2nd. You might also need reciprocals when finding equations of lines.

### What is the reciprocal of â…•?

Answer and Explanation: The reciprocal of 1/5 is 5. You can prove this by multiplying 1/5 and 5. If the answer is 1 then the two numbers are reciprocals.

Give the number a denominator of 1, then invert it. For instance, to find the reciprocal of 2, turn it into the improper fraction 2/1, then invert it to get Â½.

## What is the reciprocal of 7/11? 7/1 1/7 7/11 11/7

If you’re wondering how to find the reciprocal, we’re here to help with this easy-to-use reciprocal calculator. Now, we just interchange the numerator and denominator to get 1/7, giving that the reciprocal of 7 is 1/7. 5yâ†’15y18â†’1183â†’443And because reciprocal means opposite, the reciprocal of a reciprocal fraction is a whole number. In fact, any number you can come up with has an additive inverse. No matter how large or small a number is, adding it and its inverse will equal 0 every time.

If youâ€™re dealing with a mixed number, things get a little trickier. First, change the mixed number into an improper fraction. To do this, multiply the whole number by the denominator of the fraction, then add the product to the numerator. The resulting number will become the numerator in your improper fraction. Then, invert the fraction to find the reciprocal. For instance, 2 Â½ is the same as 5/2, and the reciprocal is 2/5. To find the reciprocal of a decimal, convert the decimal to a fraction first if you can, then invert it.

Similarly, the reciprocal of a fraction is just that fraction reversed. For example, the reciprocal of 4/7 What is the reciprocal of 7? is 7/4, and the reciprocal of 13/8 is 8/13. The reciprocal of 7 is not all we can explain and calculate.

- In general, the reciprocal of a fraction simply interchanges the numerator and denominator of the fraction.
- Use long division techniques to calculate the reciprocal.
- Give the number a denominator of 1, then invert it.
- This entails transposing a number such that the numerator and denominator are placed at the bottom and top respectively.
- Thus, raising the number to the power of minus one is the same as finding its reciprocal.
- Then check that the product of each number and its reciprocal is 1[/latex].

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