Reciprocals Practice Questions

This online Reciprocal Calculator finds the reciprocal of a decimal number or a fraction (proper, improper or mixed number). The numerator and the denominator of a fraction are separated by the slash symbol (/) with no spaces in between. It is important to leave space between the whole number and the fraction part of a mixed number. The reciprocal of a fraction can be determined by interchanging the values of the numerator and denominator.

  • Finding the reciprocal of a fraction to turn the division into the multiplication and make our calculations simple.
  • If we want to divide the one fraction by the second fraction, we can find it by multiplying the first fraction with the reciprocal of the second fraction.
  • Similar to the reciprocal of a whole number we can also find the reciprocal of a negative number.
  • It is also expressed by the number raised to the power of negative one and can be found for fractions and decimal numbers too.

Find the reciprocal of 10/13 and verify your answer. 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. By factoring and finding the x-intercepts of a quadratic equation(It may be zero, one, or two) we can find the reciprocal of a quadratic equation.

Example 5: reciprocal of a decimal number less than 1

It is easy to find the reciprocal of numbers and integers but when they have a decimal point, it is a little different. 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).

Watch your kids fall in love with math & reading through our scientifically designed curriculum. If we multiply the number by the reciprocal of the number, we will get unity, that is, 1. Thus, we can have a reciprocal for all real numbers except 0.

To convert the mixed fraction into an improper fraction, multiply the whole number with the denominator and add it to the numerator. This result becomes our new numerator and the denominator remains the same. The resulting fraction is then inverted by swapping the numerator and denominator to find the reciprocal. The reciprocal calculator swiftly finds the reciprocal of different types of numbers, integers, simple fractions, and mixed fractions. The reciprocal function makes It faster and displays the multiplicative inverse in a matter of seconds.

Let us understand these steps with the help of a few examples. Now, try the calculator and find the reciprocal of the given fractions. The reciprocal of a number is defined as the expression which when multiplied by the number gives the product as 1. To find the reciprocal of 9 we first write it as a fraction with 1 as the denominator. Get your free reciprocal maths worksheet of 20+ questions and answers.

What is the reciprocal of 1?

The first step is to convert a mixed fraction into an improper fraction. 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.

Reciprocal graphs

The reciprocal functions of some of the numbers, variables, expressions, fractions can be obtained by simply reversing the numerator with the denominator. The method to solve some of the important reciprocal functions is as follows. The reciprocal functions have a domain and range similar to that of the normal functions. The domain of the reciprocal function is all the real number values except values which gives the result as infinity. 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 a number.

Frequently Asked Questions On Reciprocal

A reciprocal calculator is an online tool that shows the reciprocal of a number or a fraction. The following diagram shows how to get the reciprocal of a fraction, whole number and mixed number. Scroll down the page for more examples and solutions on using reciprocals. You can use the reciprocal fraction calculator or solve it by yourself. To learn how to find the reciprocal of different numbers, continue reading.

What is the reciprocal of infinity?

It can also be found by raising the number to the power of -1 . To calculate result you have to disable your ad blocker first. You can solve it more to find the decimal point value. Check out our other math calculators such as Convolution Calculator and Greatest Common Divisor Calculator. There is no limitation on the length of the resultant decimal, for this we use arbitrary-precision decimal arithmetic.

The additive inverse

To find the reciprocal of 5.6 we first write it as an improper fraction. Finding the reciprocal of a fraction to turn the division into the multiplication and make our calculations simple. To find the reciprocal, choose the type of the number then enter the values in the reciprocal calculator.

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. 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. Zero has no reciprocals, as for a number to have reciprocal it needs to be a non-zero number.

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