How do you solve this rational equation: 1/10 + 1/15 = 1/x

Question

How do you solve this rational equation:               1/10 + 1/15 = 1/x

parthkohli · Answer

Multiply both sides by $\rm 150 x$.

anonymous · Answer

you have to simplfy the denominators.
for example, what is a number that goes into both 10 and 15?

anonymous · Answer

so you would divide the number that goes into 10 and 15 and the result you will multiply and get 1/result from multiplying simplified denominators.

parthkohli · Answer

You have to clear the denominators, actually.

anonymous · Answer

for example.
1/24 + 1/6 = 1/x
6 goes into both. so divide denominators by 6
so you would get
1/4 + 1/1(technically 1) and 1*4 = 5
so result would be 1/5

anonymous · Answer

yes the long way to do it would be to multiply by 150 but thats as useful in this case. other cases, yes, that would be necessary.

anonymous · Answer

okay, makes sense. Thank you! I was doing the opposite at first - I multiplied each denominator so they would be the same. But, I didn't think that was right.

anonymous · Answer

sweet:) glad i could help!