For example, the reciprocal of 9 is 1 divided by 9, i.e. 1/9. Now, if we multiply a number by its reciprocal, it gives a value equal to 1. To reciprocate a fraction, just swap the numerator and denominator of the fraction. If it is a mixed fraction, you need to convert the mixed fraction to an improper fraction first, and then do the conversion.

Since finding the reciprocal of a real number is reduced to division, the result of such a division can be either a terminating decimal or a repeating decimal. If, when dividing, you end up with a remainder of zero, then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal. The word reciprocal came from the Latin word “reciprocus” meaning “returning”. Hence, it returns its original value, if we take the reciprocal of an inverted number.

In this article, we are going to learn the definition of reciprocal, how to find the reciprocal of numbers, fractions and decimals with many examples. It is easy to understand that multiplying by a number is equal to dividing by its reciprocal and vice versa. This allows us to figure out how to find the reciprocal of a fraction. If the reciprocal of a fraction is an improper fraction you can find its mixed number representation simply by clicking the ‘Calculate’ button again. If the reciprocal of a decimal is a repeating decimal the repetend is enclosed in parentheses.

Now, you get the fraction and do the same operation for finding the reciprocal by flipping the numerator and the denominator. For any negative number -x, the reciprocal can be found by writing the inverse of the given number with a minus sign along with that (i.e) -1/x. For example, the reciprocal of – 4×2 is written as -1/4×2.

Follow these steps to find the reciprocal of different numbers. One divided by the given number gives us the reciprocal of a number. By factoring and finding the x-intercepts of a quadratic equation(It may be zero, one, or two) we can topic no 458 educator expense deduction 2020 find the reciprocal of a quadratic equation. Because, if any reciprocal number is multiplied by 0, it will not give the product as 1. In other words, the reciprocal of a number is defined as the one divided by the given number.

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No matter how large or small a number is, adding it and its inverse will equal 0 every time. If you want then you can solve to get a decimal number value in step 3. The reciprocal of a number is calculated by taking the same number under division to 1. Such as the reciprocal of number 13 is 1 over 13 (1/13). Then check that the product of each number and its reciprocal is [latex]1[/latex].

• The name reciprocal comes from Latin, possibly from the phrase reque proque, meaning back and forth.
• To get the reciprocal of a fraction, just turn it upside down.
• To get the reciprocal of a number, we divide 1 by the number.
• Find the reciprocal of 10/13 and verify your answer.
• Because, if any reciprocal number is multiplied by 0, it will not give the product as 1.

Usually, the reciprocal is expressed as a fraction, sometimes as an integer. A reciprocal calculator is an online tool that shows the reciprocal of a number or a fraction. A negative reciprocal has a negative sign before the number.

What is the reciprocal of 1?

To precisely compute the reciprocals of the decimals/numbers, fractions, and mixed fractions, use the reciprocal calculator. It simplifies the process of finding the multiplicative inverse. The reciprocal calculator swiftly finds the reciprocal of different types of numbers, integers, simple fractions, and mixed fractions.

Reciprocal Calculator

A reciprocal in math is one divided by the number in question (also known as the multiplicative inverse). 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. The reciprocal is a number, multiplied by a hypothetical number X, which results in 1.

Practice reciprocal maths questions

The reciprocal of a number is 1 divided by the number. It can also be found by raising the number to the power of -1 . To find the reciprocal of an integer, just treat the integer as the denominator and the numerator as 1.

Finding the Reciprocal of a Mixed Number

In the previous example, you can see how to find the reciprocal of a simple fraction. According to the definition of reciprocal, to calculate the reciprocal of a number, simply divide 1 by the number. Specifically, it can be divided into integer reciprocal, decimal reciprocal and fractional reciprocal. When it is converted to an improper fraction, we get 11/4. If x is any real number, then the reciprocal of this number will be 1/x.

To find the reciprocal of a Mixed Fraction, we first convert it to an Improper Fraction, then turn that upside down. To get the reciprocal of a fraction, just turn it upside down. In other words swap over the Numerator and Denominator. We call the top number the Numerator, it is the number of parts we have. We call the bottom number the Denominator, it is the number of parts the whole is divided into.

How to Use the Reciprocal Calculator?

Our reciprocal calculator helps you to find the reciprocal of a fraction within a few seconds. Through this tool, you can easily get the multiplicative inverse of any number or fraction along with the step-by-step calculation. It is easy to find the reciprocal of numbers and integers but when they have a decimal point, it is a little different. To find the reciprocal of 9 we first write it as a fraction with 1 as the denominator.