Question

What can each term of the equation be multiplied by to eliminate the fractions before solving? 1/2x – 5/4+ 2x =5/6 + x 2 6 10 12

Answer 1

So your' looking for the greatest common multiple for the denominators of the fractions. What number can be divided by: 2, 4, and 6...
Choices are 6, 10, and 12
Solution is 12
12 can be divided by 2, 4, and 6 so if you multiply the entire equation by 12, the fractions cancel out leaving only integer coefficients.

Answer 2

The answer is 12.

Explanation:

The given equation is :

`(1x)/(2)-(5)/(4)+2x=(5)/(6)+x`

The denominators of these fractions are 2, 4 and 6.

Now we well find the LCM(2,4,6). Since

Factor of 2 = 2

Factors of 4 =
`2*2`

Factor of 6 =
`2*3`

Then LCM(2,4,6) =
`2*2*3=12`

So, the least common factor is 12.

Therefore, you have to multiply each term of the given equation by 12, to eliminate the fractions.