#
The numerator and the denominator of a fraction are consecutive numbers. if the fraction is equivalent to a fraction whose denominator is 24,how many fractions canbe named as such

1
by aj121202

Log in to add a comment

by aj121202

Log in to add a comment

but I'll try...

consecutive numbers means numbers which follows each other in order without gaps...

so it can be 1, 2, 3 or 10, 11, 12... etc

so if the fraction is equivalent to a fraction whose denominator is 24...

we must find numbers that can be divide exactly to 24... those are 2, 3, 4, 6, 8 and 12 except for 1(because it can give us not a fraction but a whole number)

the fraction can be:

1/2 which is equal to 12/24

and

2/3 which is equal to 16/24

and

3/4 which is equal to 18/24

and

5/6 which is equal to 20/24

and

7/8 which is equal to 21/24

and

11/12 which is equal to 22/24

now you may now already notice that the numerator is lesser than it's denominator, we may now do the opposite

we may have:

3/2 which is equal to 36/24

and

4/3 which is equal to 32/24

and

5/4 which is equal to 30/24

and

7/6 which is equal to 28/ 24

and

9/8 which is equal to 27/24

and lastly

13/12 which is equal to 26/24

and now for the real question you have. How many fraction can be named such?

let us list all of those...

1. 1/2

2. 2/3

3. 3/4

4. 5/6

5. 7/8

6. 11/12

7. 3/2

8. 4/3

9. 5/4

10. 7/6

11. 9/8

12. 13/12

So we have 12 fraction to be named.

I hope this helps.