Question

What is the least common denominator of the equation Three-fourths (x minus 3) minus one-half = two-thirds? 2 9 12 36

Answer 1

12

Explanation:

`(3)/(4)`(x - 3) -
`(1)/(2)` =
`(2)/(3)`

We are looking at the denominators of 4, 2 and 3. We are looking for the least common multiple. If we listed out the multiples of the 3 numbers, we are looking for the lowest number that is in all three lists.

4,8,12

2,4,6,8,10,12

3,6,9,12

the lowest number that we see on all three lists is 12.