We make use of First and third party cookies to improve our user experience. Reciprocal numbers are a classification in which the the number is the opposite of the primary number given. A mixed fraction or a mixed number is a mixture of a whole number and a proper fraction. By using this service, some information may be shared with YouTube. To find the reciprocal of 3, we write 1 over 3 i.e., $\frac{1}{3}$. You might also need reciprocals when finding equations of lines. Last Updated: September 20, 2022 If you've never worked with positive and negative numbers, you might want to review our lesson on negative numbers. Reciprocal numbers are used extensively in computer science. The reciprocal of a number is 1 1 divided by the number. Step 2: Swap or interchangethe numerator and denominator. Reciprocal is a number that when multiplied to the given number gives the product 1. To determine the reciprocal of 1, divide 1 by 1. Check out 69 similar arithmetic calculators . _\square . So reciprocals must have the same sign. To find the reciprocal of a decimal, you need to do the same as before - divide 1 by your decimal number. The result is the reciprocal. The documents are in PowerPoint format. Example 3:Find the reciprocal of -9/10. For a non-zero number x, x, the reciprocal of x x is \frac {1} {x} x1. So why not check out our other tools! So, for example, the reciprocal of 3 is 1 divided by 3, which is 1/3. Since 1 in fractional form is written as 1/1, taking the reciprocal (swapping around the numerator and the dominator) results in the same thing, 1/1, which is 1. In the example, 8/1 multiplied by 1/8 yields 8/8, which simplifies to 1. The following steps can be followed to find the reciprocal of a mixednumber: For example, the reciprocal of\(2\frac{1}{3}\): Example 1:A pizza is sliced into 8 pieces. The first type of opposite is the one you might be most familiar with: positive numbers and negative numbers. In other words, the reciprocal of a number is defined as the one divided by the given number. We are already familiar that the reciprocal of a number is the inverse of the given number and we can easily find it for any number by writing 1 over it. Similarly, reciprocal of 5 is 1/5 and so on. So, in short, how to find the reciprocal of a number? What is the reciprocal of a squared number? In that case, let's look at two examples to check how this calculator works! 5 can also be written in fraction form as 5/1. The reciprocal of the mixed number is also the opposite or reverse of the fraction, but in mixed numbers, another step is needed to obtain the goal product of 1. ", "Really helped with some year 10 homework.". The following steps can be followed to find the reciprocal of any negative number or variable: For example, the reciprocal of -31 is -1/31. To understand the reciprocal, you must first understand that every whole number can be written as a fraction equal to that number divided by 1. The reciprocal of a number is also called its multiplicative inverse. ", reciprocal. Give the number a denominator of 1, then invert it. Calculate the circle length with this fantastic tool, and know its circumference, radius, or diameter. Well, one interpretation of a reciprocal is it's the number that when you multiply it by the original number, you get one. On taking reciprocal of an inverted number, it returns to the original number. Then, invert the fraction to find the reciprocal. Additionally, David has worked as an instructor for online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. 3/2 or 1.5. Finding the Reciprocal of a Fraction or Whole Number, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/3\/3e\/Find-the-Reciprocal-Step-1-Version-3.jpg\/v4-460px-Find-the-Reciprocal-Step-1-Version-3.jpg","bigUrl":"\/images\/thumb\/3\/3e\/Find-the-Reciprocal-Step-1-Version-3.jpg\/aid1290466-v4-728px-Find-the-Reciprocal-Step-1-Version-3.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"