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

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frika frika · Answer 1 · 2018-11-09T20:13:43+01:00

The equation

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

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

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

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adioabiola adioabiola · Answer 2 · 2021-10-28T11:57:03+02:00

We are required to find what each term of the equation be multiplied by to eliminate the fractions before solving.

Multiply each term of the equation by 12 to eliminate the fractions.

Given:

1/2x – 5/4 + 2x = 5/6 + x

The fraction terms in the equation are:

1/2x

-5/4

5/6

A fraction consist of the numerator (upper number) and a denominator (lower number)

The denominators of the fractions are: 2, 4 and 6

Find the lowest common multiples of the denominators

2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

4 = 4, 8, 12, 16, 20

6 = 6, 12, 18, 24

The lowest common multiples of the denominators is 12

So, multiply each term of the equation by 12 to eliminate the fractions before solving.

1/2x(12) – 5/4(12) + 2x(12) = 5/6(12) + x(12)

6x - 15 + 24x = 10 + 12x

6x + 24x - 12x = 10 + 15

18x = 25

x = 25/18

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