Question

Which number can each term of the equation be multiplied by to eliminate the fractions before solving? 6 –3/4x +1/3 =1/2 x + 5

Answer 1

They can all be multiplied to have 12 as the denominator. So you would have 6 - 9/12x + 4/12 = 6/12x + 5
This works as the fractions are the same value, they are just bigger numbers.

Answer 2

The number is 12.

Explanation:

Given:
`6-(3)/(4)x+(1)/(3)=(1)/(2)x+5`

We need to find a number multiply to each term to get rid of fraction.

We will find LCD of denominator.

First we see the numbers at denominator

Denominators are 4,3,2

Now, we will find the LCD of 2,3, and 4

Factor of 2: 2x1

Factor of 3: 3x1

Factor of 4: 2x2x1

LCD = 2x2x3 = 12

If we multiply by 12 to each term to eliminate the fraction.

Simplest equation:

`12\cdot 6-12\cdot (3)/(4)x+12\cdot (1)/(3)=12\cdot (1)/(2)x+12\cdot 5`

`72-9x+4=6x+60`

Hence, The number is 12.