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

Answer 1

Answer:

The equation

\dfrac{1}{2}x-\dfrac{5}{4}+2x=\dfrac{5}{6}+x

2

1

x−

4

5

+2x=

6

5

+x

consists of five terms, three of them contain fractions. The denominators of these fractions are 2, 4 and 6.

Find the LCM(2,4,6). Since

2=2;

4=2·2;

6=2·3,

then LCM(2,4,6)=2·2·3=12.

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

Answer: 12