Then click Calculate button, as shown in the figure, the reciprocal of 57 is 75. Then click Calculate button, as shown in the figure, the reciprocal of 0.25 is 4. Then click Calculate button, as shown in the figure, the reciprocal of 40 is 140. Enter 4 3/5 in the input box, then click Calculate button. On the other hand, when the product of two numbers is 1, the numbers are the reciprocals of each other. Find the reciprocal of 10/13 and verify your answer.

• Usually, the reciprocal is expressed as a fraction, sometimes as an integer.
• The following topics help in a better understanding of reciprocal functions.
• Hence, we can say that the number is multiplied by its reciprocal, we get 1.
• You can use the reciprocal fraction calculator or solve it by yourself.

To find the reciprocal of a decimal number, change it to a fraction, then flip the fraction. Not sure how to convert a decimal number to a fraction? Check out our lesson on converting percentages, decimals, and fractions. The second type of opposite number has to do with multiplication and division. It’s called the multiplicative inverse, but it’s more commonly called a reciprocal.

Top Calculators

The most important application of reciprocal is used in division operation for fractions. The first step is to convert a mixed fraction into an improper fraction. For example, the reciprocal of 4 is one fourth (1/4 or 0.25), and the reciprocal of 0.5 is 1 divided by 0.5, or 2. However, when you divide by a fraction you flip the fraction over so the numerator is on the bottom and the denominator is on top.

• On the other hand, when the product of two numbers is 1, the numbers are the reciprocals of each other.
• (If not, you can always check out our lesson on multiplying and dividing fractions.) When you multiply two fractions, you multiply straight across.
• There is no limitation on the length of the resultant decimal, for this we use arbitrary-precision decimal arithmetic.
• To find the reciprocal, choose the type of the number then enter the values in the reciprocal calculator.
• The first step is to convert a mixed fraction into an improper fraction.

In maths, when you take the reciprocal twice, you will get the same number that you started with. We need to convert this operation into multiplication. Thus by using Reciprocal Formula, we convert the divisor into its reciprocal.

How to write the reciprocal of a number

For example, the inversion of the fraction 5/4 is 4/5. Prepare your KS4 students for maths GCSEs success with Third Space Learning. Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors. To find the reciprocal of 0.8 we first write it as a fraction. When we multiply a number by its reciprocal, the answer is always 1.

Examples Using Reciprocal Formula.

And the range is all the possible real number values of the function. In Maths, reciprocal is simply defined as the inverse of a value or cares act 401k withdrawal rules a number. If n is a real number, then its reciprocal will be 1/n. It means that we have to convert the number to the upside-down form.

Reciprocal of Simple Fractions:

Taking the reciprocal of a fraction means swapping the numerator and the denominator around. 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.

Learning checklist

To find the reciprocal of a complex number, you can use our Complex Numbers Calculator by simply dividing 1 by that complex number. This type of opposite is also called the additive inverse. Inverse is just another word for opposite, and additive refers to the fact that when you add these opposite numbers together, they always equal 0. In a previous chapter, we worked with opposites and absolute values. The table below compares opposites, absolute values, and reciprocals. You find the inverse of a fraction by exchanging the numerator (top number) with the denominator (bottom number) – taking the reciprocal of the fraction.

For example, the reciprocal of 8 is 1 divided by 8, i.e. 1/8. Also, if we multiply a number by its reciprocal, the product is 1. Let us learn about the reciprocal formula with a few examples in the end.