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

were does the echange of carbon dioxide and oxygyne take place
What is the term for the positive charge in an atom? A. Proton B. Electron C. Nucleus D. Fulcrum F. Disequilibrium
The only American play of real merit in the late nineteenth century was _____. The Last of the Mohicans Our Town Uncle Tom's Cabin
Coolidge backed immigration restrictions and tax reductions. a. True b. False
What might South Asia have a large steel industry
What is the result when 55 increased by 209%?
buns cost 40p each cakes cost 55p each i spend exactly £4.35 on buns and cakes. How many of each did i buy?
Write a number in the blank that will make the number sentence true 3x blank greater than or equal to one or less than
Graham made 12,000 milliliters of orange juice. If he sells 1 liter bottles for $1.09 how much will he earn if he sells all of his bottles of juice?
Use the model to find the product. 3 x 3/4=