can SOMEONE PLEASE HELP wht is 2/3+y-4/5=1/3

Question

wckeller · Answer

I'm assuming we are solving for y.

First start out by getting rid of all the fractions. This will make solving this much easier.

kenneady · Answer

ok then what do i do??

wckeller · Answer

Multiply everything by 3. Then once you have done that multiply by 5. To get rid of 4/5

wckeller · Answer

You should end up with:
$$2+y-\frac{ 12}{ 5 }=1$$
Then multiply by 5:
$$10+5y-12=1$$

kenneady · Answer

oh sorry i was working it out on paper

kenneady · Answer

and ok thank you!!

wckeller · Answer

Okay hold on, I believe i have made a mistake

wckeller · Answer

$$\frac{ 2 }{ 3 } + y-\frac{ 4 }{ 5 }=\frac{ 1 }{ 3 }$$

$$y=\frac{ 4 }{ 5 }+\frac{ 1 }{ 3 }-\frac{ 2 }{ 3 }$$

Then find the common denominator (15), and multiply the denominator and numerators by 3 (if the denominator is 5) and 5(if the denominator is 3)
$$\frac{ 12 }{ 15 }+\frac{ 5 }{ 15 }-\frac{ 10 }{ 15 }$$
Final answer is $$y = \frac{ 7 }{ 15 }$$