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Let n be the number, then:

1/n - 1/3n = 1/6

Solve the subtraction on the left:

1/n - 1/3n = 3/3n - 1/3n

= 2/3n

But we know this is 1/6, thus:

2/3n = 1/6

⇒ 3n = 12

⇒ n = 4

Thus the number is 4.

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Q: When the reciproral of three times a number is substracted from the reciprocal number the result is one sixth find the number?
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What number can be multiplied by a fraction and get a result of 1?

The number that can be multiplied by a fraction to get a result of 1 is the reciprocal of the fraction. Apart from zero, all real numbers have reciprocals.


What is the reciprocal for one fourth?

The reciprocal of one fourth is four. This means that when you multiply one fourth by its reciprocal, the result is one.


Can you give me a definition of reciprocal?

Yes I can.The reciprocal of anything is '1' divided by it.That's the definition.Here's the result: When you multiply anything by its reciprocal, the answer is always '1'.


How can you make a reciprocal out of a mixed number?

First you need to make the mixed number into a improper fraction. To do this, take the denominator times the number in front. Then add the result to the numerator. Then the improper fraction is that result over the denominator. _______________________________________________________________ If X is the leading number, D is the denominator, N is the numerator: X and N/D=(X*D+N)/D _______________________________________________________________ Then take this new fraction and flip the numerator and the denominator: D/(X*D+N) _______________________________________________________________ So to get the reciprocal of a mixed number in one step, the reciprocal's: numerator is equal to the denominator of the mixed number; denominator is equal to the leading number multiplied by the denominator added to the numerator.


When you exchange the numerator and denominator of a fraction the new number is called what of a fraction?

It is called the reciprocal unless the original numerator was zero. In that case the result of exchanging is not valid.

Related questions

What is the number when the reciprocal of three times a number is subtracted from the reciprocal of the number the result is one sixths?

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Yes I can.The reciprocal of anything is '1' divided by it.That's the definition.Here's the result: When you multiply anything by its reciprocal, the answer is always '1'.


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Opposites in math are called inverses. There are two of these inverses: an additive and a multiplicative. The additive inverse of a number is that number multiplied by -1. If this is added to the number, then the result will be 0. The multiplicative inverse of a number is its reciprocal. This is the number converted into a fraction then flipped. If you multiply a number with its multiplicative inverse, the result will be 1.


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When three times a certain number is added to twice its reciprocal the result is 5 find the number?

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