The Reciprocal Of 5/6 Is

Reciprocal Computer

Created by Hanna Pamuła , PhD candidate

Reviewed by

Steven Wooding and Jack Bowater

Last updated:

October xi, 2022

Table of contents:

What is a reciprocal?
How to detect the reciprocal?
Examples: what is the reciprocal of 4 and 1/two?
FAQ

If you're wondering how to find the reciprocal, we're here to assistance with this piece of cake-to-apply reciprocal calculator.
Beneath, you tin can observe an caption of what a reciprocal is and examples of how to calculate and find reciprocals, be it the reciprocal of a fraction or a number.

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What is a reciprocal?

A reciprocal in math is one divided past the number in question (also known as the multiplicative inverse).

The reciprocal of x = one/10

Alternatively, you can say that if y'all multiply a number by its reciprocal, y'all'll go i:

explanation what is a reciprocal: number (x) * reciprocal (1/x) = 1

For example, if our chosen number is 5, its reciprocal is ane/5. The multiplication of these 2 numbers will requite usa ane:

5 * i/v = 5 * 0.ii = i

The name reciprocal comes from Latin, possibly from the phrase reque proque, significant back and forth. The reciprocal number to x may be denoted merely as ane/x but besides equally x^-ane . Thus, raising the number to the ability of minus one is the same equally finding its reciprocal.

How to find the reciprocal?

And so, in brusk, how to detect the reciprocal of a number?

Reciprocal of a fraction

To find the reciprocal of a fraction, switch the numerator and the denominator (the top and lesser of the fraction, respectively). And then, simply speaking, the reciprocal of a/b is b/a.

Example: the reciprocal of 3/4 is 4/3
Reciprocal of a number

To find the reciprocal of a number, separate ane past the number.

Example: the reciprocal of 7 is ane/seven
Reciprocal of a decimal

To find the reciprocal of a decimal, you lot need to do the same as before - divide ane by your decimal number.

Example: the reciprocal of 3.25 is ane/3.25

Additionally, our reciprocal computer will testify you the fraction in its simplified form.

Remember that 0 doesn't take the reciprocal, as one/0 is undefined.

Examples: what is the reciprocal of iv and 1/2?

Nosotros hope that, later on our explanation, yous now understand the concept of a reciprocal. In that instance, let'southward look at ii examples to check how this calculator works!

Example 1: What is the reciprocal of iv?

Is your number a fraction? Not this time! Cull No from the driblet-downward list. (If you really desire, you lot can leave it every bit the fraction choice and then cull i as the denominator).
Input the number for which y'all'd similar to find the reciprocal, which is 4.
Tadaa! That's all y'all demand to do! The reciprocal calculator shows that the reciprocal of your number is 0.25, or, as a fraction, 1/four.

Instance 2: What is the reciprocal of 1/2?

Again, start with the question: is the number a fraction? Pick Yeah this time.
Enter the numerator (top) and denominator (bottom) of your fraction into the appropriate fields. So, in our instance, input 1 as the numerator and 2 in the denominator box.
The reciprocal calculator finds the answer - the reciprocal of 1/2 is two.

FAQ

What is the reciprocal of v?

0.2. Since we tin write 5 as 5/1, if nosotros take the reciprocal, it becomes 1/5, which is 0.ii in decimal course.

What is the reciprocal of 2/3?

3/2 or one.five. Taking the reciprocal of a fraction ways swapping the numerator and the denominator around.

What is the reciprocal of 1?

1. Since one in fractional form is written every bit 1/1, taking the reciprocal (swapping effectually the numerator and the dominator) results in the same thing, one/ane, which is 1.

How practice you find the inverse of a fraction?

Y'all find the changed of a fraction past exchanging the numerator (top number) with the denominator (bottom number) – taking the reciprocal of the fraction. For example, the inversion of the fraction 5/four is 4/5.

Hanna Pamuła , PhD candidate

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