Question

Please answer I really need help!? Find the least common denominator of 3/x-1/6=7/12 and solve for x

Answer 1

okay so your equation is \[\frac{ 3 }{ x }-\frac{ 1 }{ 6 }=\frac{ 7 }{ 12}\]

so i would first start by adding 1/6 to both sides. 1/6 = 2/12, so you would end up with \[\frac{ 3 }{ x } = \frac{ 9 }{ 12 }\]

well 9/12 = 3/4

so you have \[\frac{ 3 }{ x } = \frac{ 3 }{ 4 }\]

so x must be 4

Answer 2

And the least common denominator would be 9/12 or 3/4?

Answer 3

to find the least common denominator of 3/x, 1/6 and 1/12, we must find common factor for all of them.

well 6 factors into 12 nicely

and 12x would be the smallest factor for x and 12

so 12x would be the least common denominator

\[\frac{ 36 }{ 12x} - \frac{ 2x }{ 12x } = \frac{ 7x }{ 12x }\]

Answer 4

this would be another way to solve the problem, because by finding the least common denominator, you can remove the fractions and end up with the equation

36 - 2x = 7x


and if you solve for x again, it still equals 4

Answer 5

Okay thank you so much! :)