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What can each term of the equation be multiplied by to eliminate the fractions before solving?

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

A. 2
B. 6
C. 10
D. 12



Answer :

GinnyAnswer
To eliminate the fractions in the equation
[tex]\[ \frac{1}{2} x - \frac{5}{4} + 2 x = \frac{5}{6} + x, \][/tex]
we need to find the Least Common Multiple (LCM) of the denominators. Let's identify the denominators in the equation: [tex]\(2, 4,\)[/tex] and [tex]\(6\)[/tex].

The LCM of 2, 4, and 6 is 12.

Thus, each term in the equation can be multiplied by 12 to clear the fractions.

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