The sum of the reciprocal of a number and 3/5 is 29/40 find the number

Question

The sum of the reciprocal of a number and 3/5 is 29/40 find the number

Answer 1

1/n + 3/5 = 29/40

1/n + 24/40 - 24/40 = 29/40 - 24/40

1/n = 1/8

n = 8

Answer 2

The reciprocal of a number is essentially 1 divided by that number, e.g. the reciprocal of 2 is 1/2, the reciprocal of 3/5 is 5/3, etc. This question can be represented by an equation, and in order to get there we must think of the question in mathematical grammar.

"The sum of the reciprocal of a number and 3/5 is 29/40 find the number". We can represent this with mathematical symbols in the next line.

"Reciprocal of a number" + 3/5 = 29/40 "find the number". From here we can define some number x and, based on the definition of the reciprocal from above, the reciprocal of a number x is 1/x. Therefore, we can now write this as an equation in the next line.

1/x + 3/5 = 29/40, find x. Now we can solve this equation for x. First, we can subtract 3/5 from both sides to get the following.

1/x = 29/40 - 3/5 = 29/40 - 24/40 = 5/40 = 1/8. Now, we can multiply each side by x to get the following.

1 = 1/8 * x. Finally, we can divide both sides by 1/8 (which is the same as multiplying both sides by 8) to solve for x.

8 = x. Therefore, the number is 8. If you have any questions, please feel free to ask.