Question

Can someone help me solve this rational expression? 1/10 + 1/20 = 1/x. I need the steps, too.

Answer 1

multiply through by l.c.m

Answer 2

what would that be?

Answer 3

lowest common multiple...

Answer 4

which would be 20, so:\[\frac{ 1 }{ 10 } * 20 + \frac{ 1 }{ 20} *20 = \frac{ 1 }{ x } *20\]\[2 + 1 = \frac{ 20}{ x} \]Cross multiplying:\[3x = 20 \rightarrow x = \frac{ 20 }{ 3 }\]

Answer 5

okay, that makes sense. thank you! I just wasn't sure what to do with the numerators. thank you so much!

Answer 6

Yw :)