Question

Whose numerator and denominator add up to 10.How many fractios of this kind can you make?

Answer 1

Not including top heavy fractions :

1/9

2/8

3/7

4/6

5/5

Includinv top heavy fractions :

6/4

7/3

8/2

Answer 2

According to the question we have to find out the possible fractions whose numerator and denominator when added up will sum upto 10.

Since we have 9 digits so 9 possible combination can be there.

The 9 distinct digits are: 1,2,3,4,5,6,7,8 and 9.

The pairs for sum of 10 can be (1,9), (2,8), (3,7), (4,6), (5,5), (6,4), (7,3), (8,2), (9,1).

Therefore these pairs can form fraction to satisfy the condition given in the question.

Hence the 9 fractions are:

1/9

2/8

3/7

4/6

5/5

6/4

7/3

8/2

9/1

That's it. :)