kitty94 kitty94
  • 01-12-2016
  • Mathematics
contestada

How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions

Respuesta :

Аноним Аноним
  • 01-12-2016
Infinitely many ways! 
Suppose you have the fraction 2/d.

Pick any pair of integers a and b where b ≠ 0.
Then 2b-ad is and integer, as is bd so that (2b - ad)/bd is a fraction.

Consider the fractions a/b and (2b - ad)/bd

Their sum is 
a/b + (2b-ad)/bd = ad/bd + (2b-ad)/bd = 2b/bd = 2/d - as required.

Since a and b were chosen arbitrarily, there are infinitely many possible answers to the question.
Answer Link

Otras preguntas

Prove that (x^5)-(x^2)+2x +3=0 has at least one real root. Prove that x=cosx has at least one solution.
Can someone use the word delta in a sentence
Can someone use the word delta in a sentence
(10y^3+20y^2+55y)/5y
how is mass transit in cities a possible solution tk urban air pollution?
Marika and Freddy sold 70 homes for Ron Realty. If Marika sold 2.5 times as many homes as Freddy, how many homes did each sell?
Scarcity is the condition of not having enough goods and services to satisfy everyone's?
Data are drawn from a symmetric and bell shaped distribution with a mean of 120 and a standard deviation of 5. There are 900 observations in the data set. What
Find Domain of the functionsquare root of (x-8)/x(x-9)
what is the answer for (20,8),(9,16) ?