# 3 Ways To Find The Reciprocal

The opposite reciprocal of 2/7 would be -7/2. This is also known as the negative reciprocal. WINDOWPANE is the live-streaming social network, and multi-media assets = liabilities + equity app, for recording and sharing your amazing life. Post comments, photos and videos, or broadcast a live stream, to friends, family, followers, or everyone.

• So, simply speaking, the reciprocal of a/b is b/a.
• Watch this video lesson and you will learn how to deal with absolute values of simple numbers and more complex problems.
• Recall that dividing by a fraction is the same as multiplying by the reciprocal.
• In general, if a is a natural number, the multiplicative inverse or reciprocal of a is1⁄a.
• Similarly, the reciprocal of a fraction is just that fraction reversed.
• As you can expect, 7 times the reciprocal of 7 will equal 1.

Share thoughts, events, experiences, and milestones, as you travel along the path that is uniquely yours. 6 times the reciprocal of a number equals 3 times the reciprocal of 7 . Recall that dividing by a fraction is the same as multiplying by the reciprocal. A number’s negative reciprocal is the same as the regular reciprocal, multiplied by negative one. Use long division techniques to calculate the reciprocal.

So, if you have 5/8, then its opposite, or reciprocal will be 8/5. The product of 2/3 and its reciprocal 3/2 is 1. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney. Thanks to all authors for creating a page that has been read 246,718 times. The reciprocal of a negative number is the same as the reciprocal of the positive number, except it’s a negative value.

## Example Question #3 : Reciprocals

This article discusses the steps on how to find the reciprocal of a number, mixed numbers, fractions and decimals. 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. In this video lesson, you will learn how to divide and take the reciprocal of any rational expression. Learn the one easy step you take to be able to find your answer quickly and easily.

To find the reciprocal of a number, divide 1 by the number. For reciprocating any normal balance number, just put it as a fraction and reverse the numerator and denominator.

If you calculate it for 10 ÷ 4, you’ll get the answer 2.5, the reciprocal of 0.4. You might recognize some common decimal numbers that can easily be turned into fractions. Find the reciprocal of a fraction by flipping it.

To make a unit fraction, say1⁄4 to 1, we need to add it 4 times. Thus, the multiplicative inverse of1⁄4is 4. Change the division problem to use whole numbers.

## Finding The Reciprocal Of A Fraction Or Whole Number

Exponents are the mathematical shorthand that tells us to multiply the same number by itself for a specified number of times. This lesson will not only explain how the exponent works but also discuss the seven distinct properties, or rules, that govern its use. When you have an algebraic expression that’s much too long, it would be great if you could simplify it. That’s when knowing how to combine like terms comes in. In this lesson, we’ll learn the process of combining like terms and practice simplifying expressions. By the end of the lesson, you’ll be an algebraic expression expert. Everyday math applications include calculating percentages.

For example, 3 becomes 1/3 ; 97 becomes 1/97 ; 1/23 becomes 23. Some tables do have a column devoted to reciprocals, but not typically reciprocals of decimal numbers. Your best bet is simply to divide the decimal number into 1. Convert the mixed number into an improper fraction, then find the reciprocal as you normally would. There are two steps to finding the reciprocal of a mixed number, explained below. Also, 1 divided by a negative number will be a negative number.

In fact, they very well may change your mind on everything from getting into college to winning the lottery. With all the formulas out there, how do you know which one to pick? Watch this video lesson and you will find the answers to these questions. Watch this video lesson and you will learn how to deal with absolute values of simple numbers and more complex problems. Learn the order in which you should do calculations so that your answers are correct.

## Example Question #1 : How To Find The Reciprocal Of A Fraction

To find the reciprocals, we keep the sign and invert the fractions. To find the reciprocal of a fraction, we invert the fraction. This means that we place the numerator in the denominator and the denominator in the numerator. The fractions \frac[/latex] and \frac[/latex] reciprocal of 7 are related to each other in a special way. Besides looking like upside-down versions of one another, if we were to multiply these pairs of fractions, the product would be 1[/latex]. Convert a mixed fraction into an improper fraction as calculated below.

You might also need reciprocals when finding equations of lines. We did round the answer above to 8 digits after the decimal point if necessary. As you can expect, 7 times the reciprocal of 7 will equal 1.

## The Reciprocal Of 7 Os A Repeating Non Terminating Decimal What Is

To get a positive result when multiplying two numbers, the numbers must have the same sign. A number and its reciprocal have a product of 1[/latex]. The product of a number and its reciprocal is 1. The reciprocal of a number is 1 divided by the number. 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.

## Module 4: Fractions

Reciprocals are a common occurrence when dealing with any problem in mathematics or the world around us that involves fractions. 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. A reciprocal, ormultiplicative bookkeeping inverse,is simply one of a pair of numbers that, when multiplied together, equal 1. If you can reduce the number to a fraction, finding the reciprocal is simply a matter of transposing the numerator and the denominator. To find the reciprocal of a whole number, just turn it into a fraction in which the original number is the denominator and the numerator is 1.

Mixed numbers are part whole number and part fraction, such as 24/5. Write the reciprocal of a whole number as a fraction. Again, the reciprocal of a number is always 1 ÷ . The reciprocal of any number is the quotient you get when you divide 1 by that number. Then check that the product of each number and its reciprocal is 1[/latex].

Every number has a reciprocal except for 0. There is nothing you can multiply by 0 to create a product of 1, so it has no reciprocal. Note that the product of a fraction and its reciprocal is always 1. Solve each of the following problems, and then check your answers using the key below. Don’t forget to use a reciprocal for the division problems.

The right way to find the reciprocal depends on the kind of number you’re working with. To find the reciprocal of a decimal, divide 1 by the decimal. If you need to find the reciprocal of a mixed number, change the mixed number to an improper fraction and then flip the fraction. To find the reciprocal of a fraction, flip the numerator and denominator. If you’re trying to find the reciprocal of a whole number, just divide 1 by that number and write it as a fraction.