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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.

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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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.

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

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'.

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.

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

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4

To get the reciprocal of any number, just divide 1 by that number. To check the result: the number times its reciprocal must equal 1.

If the number is x then: x+4-9 = -2 and so x = 3

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.

IN ALGEBRA muliplicative Inverse is the product of the number and the reiprocal of the number and after multiplying the number and the reciprocal the result will be 1.

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

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.

1

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.

The number required is 2/3 because 3*(2/3)+2*(3/2) = 5