## KE8717504 3 years ago what number mulitplied by the numerator and added to the denominator of 4/9 makes the resulting fraction equilavent to 7/4?? the number is?

1. KE8717504

@ArkGoLucky

2. ArkGoLucky

um I don't think this is possible because the numerator of the first fraction is not changed so it can't equal the second fraction. ever

3. ArkGoLucky

4 does not equal 7

4. KE8717504

5. KE8717504

@jim_thompson5910

6. KE8717504

I have no idea either

7. ArkGoLucky

oh wait nvm, there is an answer. The number just has to be a fraction

8. KE8717504

ok.

9. ArkGoLucky

Is there a box for a fraction?

10. KE8717504

yea

11. ArkGoLucky

okay cool

12. KE8717504

do u know it? lol

13. ArkGoLucky

okay got

14. ArkGoLucky

it

15. ArkGoLucky

so here's what you do so make an equation say x is the number you're looking for try to think of a way you can make an equation using x

16. ArkGoLucky

17. ArkGoLucky

I'll give you a hint use 4x

18. KE8717504

ok so what do i do now with the 4x?

19. KE8717504

is the answer going to be 2? @ArkGoLucky

20. ArkGoLucky

not quite. I'll just show you the equation. So you know that the number x, when multiplied by the numerator(4) then added to the denominator(9) equals 7/4 That means 4/9+4x=7/4

21. KE8717504

so 7/4 is the answer or do i solve that?

22. ArkGoLucky

no, now you solve for x, which is the number you're looking for

23. KE8717504

i got 47/144?

24. KE8717504

is that right or wrong?

25. ArkGoLucky

almost

26. ArkGoLucky

the numerator is right except it's a negative and the denominator is wrong

27. KE8717504

how did i get the denominator wrong?

28. ArkGoLucky

did you solve x in$\frac{ 4 }{ 9+4x }=\frac{ 7 }{ 4 }$

29. KE8717504

yea and i got that big fraction

30. ArkGoLucky

31. ArkGoLucky

okay I'll show you how to solve for x multiply both sides of the equation by the common denominator. In this case, it is (4)(9+4x) this is to rid of the fractions

32. ArkGoLucky

when you do this, you get 16=7(9+4x) I'm sure you can solve for x now