Question

What is the reciprocal of7.11Enter your answer in the space below, using a slash mark (7) as a fractionbar when needed.

Answer 1

A number is reciprocal when the multiplication of these two numbers results in 1.

For example, let's find the reciprocal of 6, to find it we must think, which number multiplies 6 and results in 1?

The answer is 1/6, that's the only number that multiplies 6 and the result is 1.

Using that logic, we have simple ways to find the reciprocal of a number.

First step - Write the number as a fraction

Before we find the reciprocal, we write ou number as a fraction, let's use 8 now. How do we write 8 as a fraction?

Simple! we just put 1 as the denominator:

`8=(8)/(1)`

Second step - Flip the fraction

Now we have the number in the fraction notation we just flip it to find the reciprocal.

`(8)/(1)\xrightarrow{\text{flip}}(1)/(8)`

The flipped fraction is the reciprocal

Therefore, what's the reciprocal of 8? 1/8

Now, let's solve the problem, in fact, we want to find the reciprocal of

`(1)/(11)`

As we can see it's already in the fraction notation, then, let's just flip the fraction

`(1)/(11)\rightarrow(11)/(1)`

When we flip it we get 11/1, which is basically 11. Therefore, the reciprocal of 1/11 is 11.