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

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.

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chisnau chisnau · Answer 2 · 2019-05-17T21:36:01+02:00

Answer:

The answer is 12.

Step-by-step explanation:

The given equation is :

[tex]\frac{1x}{2}-\frac{5}{4}+2x=\frac{5}{6}+x[/tex]

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 = [tex]2\times2[/tex]

Factor of 6 = [tex]2\times3[/tex]

Then LCM(2,4,6) = [tex]2\times2\times3=12[/tex]

So, the least common factor is 12.

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