## anonymous one year ago Amanda tells you that because a variable is in the denominator, the equation three over x plus one over three equals five over six becomes unsolvable. Amanda explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to Amanda how the equation is still solvable and explain your reasoning.

1. anonymous

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3. anonymous

it would be helpful to use the equation tool below

4. anonymous

|dw:1438136907947:dw|

5. anonymous

6. anonymous

@ganeshie8

7. anonymous

@Hero

8. anonymous

@pooja195

9. anonymous

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11. anonymous

help

12. anonymous

what are you trying to find?

13. anonymous

i'm try to demonstrate how the problem is still solvable and explain it

14. anonymous

@Izziewuzzy

15. anonymous

does this require finding x?

16. anonymous

yes

17. anonymous

i think you need to subtract 5/6 by 1/3

18. anonymous

that would give you 3/6 or 1/2 making the equation look like this|dw:1438184386828:dw|

19. anonymous

then cross multiply to get 6. then, when you plug it into the original equation, you should know that fractions need to have a common denominator. |dw:1438184467863:dw|

20. anonymous

but wait how am i going to explain that @Izziewuzzy

21. anonymous

If: $\frac{ 3 }{ x } + \frac{ 1 }{ 3 } = \frac{ 5 }{ 6 }$ Then: $\frac{ 5 }{ 6 } - \frac{ 1 }{ 3 } = \frac{ 3 }{ x }$ And $\frac{ 5 }{ 6 } -\frac{ 1 }{ 3 } = \frac{ 3 }{ 6 }$ Therefore: $x = 3$

22. anonymous

Oops is x=6