# The reciprocal of an integer plus the reciprocal of two times the integer plus two equals 23 Find the integer?

This question can be expressed algebraically as: (1/n) +
(1/(2n)) + 2 = 23, (1/n) + (1/(2n)) =21, ((1+2)/(2n)) = 21,
(3/(2n)) = 21, or 2n = (3/21), 2n = (1/7), so n = (1/14). This, by
the way, is an elementary algebraic proof that the solution to the
above relation is (1/14). Anyway, to answer the question, reread
the question: "[What integer is such that] *the reciprocal* of
the integer...". notice, the reciprocal of (1/14) is 14, which is
the integer in question! ^_^

### How do you work out the reciprocal of a number?

the reciprocal of a number is it's opposite. the opposite of 3/5 is 5/3. the recriprocal's product should equal one. 3/5 times 5/3 equals 15/15, simplified to 1/1, which can be simplified to 1. to find a reciprocal, just turn the fraction upside down. examples: 3/4 is turned to 4/3 2/9 is turned to 9/2.

### What is the definition of a negative reciprocal?

Negative reciprocal is something you use in math that often times help you find a perpendicular line to an equation. ex: for an equation with a slope of 5x, the recriprocal would be -1/5x. what you do is you flip flop the bottom and the top, 1/5x. That is the reciprocal alone and to make it a negative reciprocal you just simply add the negative sign.

### What is the reciprocal of 7 over 2?

The answer is: 2/7 More information from "http://en.allexperts.com/q/Basic-Math-657/reciprocal.htm": A reciprocal is a number that you multiply by so that the result equals 1. The easiest way to find it is to just flip the fraction over. Here's an example: What is the reciprocal of 3? 3 is the same as 3/1, so we flip and the reciprocal is 1/3 Reciprocal of 4/5 is 5/4 Reciprocal of 2 1/2? Trciky! Change to a fraction --> 5/2…

### How do you find the multplicate inverse of a rational number?

You take its reciprocal, that is you divide 1 by the number. A rational number can be written as a fraction with integer values in both the numerator and denominator, j/k. The multiplicative inverse of a number is what you have to multiply by to get a product of 1. Putting these ideas together, the multiplicative inverse is the reciprocal, or k/j: (j/k) * (k/j) = 1.

### How do you find a reciprocal?

A reciprocal is the number you must multiply another number by to get the product of 1. The reciprocal of 4 (which is the same as 4/1) is 1/4. The reciprocal of 3/8 is 8/3. The reciprocal of 13 is 1/13. This can also be expressed using exponents. The reciprocal of any value x is equal to x-1. So the reciprocal of a/b is (a/b)-1, which is equal to b/a. To find a reciprocal, put…

### What number times itself equals 53?

Another way of asking this question is "What is the square root of x." In this case, we're talking about x = 53, but the question is the same. So to find the number that, when multiplied by itself, equals, 53, we must take the square root of 53. Since 53 is not a square number, our answer is not an integer, but close to 7.28.