Question

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

6-3\4x+1/3=1/2x+5

02
O 3
O 6
O 12

Answer 1

The correct answer is Option 4: 12

Explanation:

Given equation is:

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

We have to find a number that is common multiple of all the denominators or least common divisor

So to find the LCM

The numbers in denominator are: 4,3,2

So,

`4=> 4,8,12,16\\3 => 3,6,9,12,15\\2=> 2,4,6,8,10,12`

It can clearly be seen that 12 is the LCM of all three numbers so the equation will be multiplied with 12 to eliminate the fractions.

`12*6-12*(3)/(4)x+12*(1)/(3) =12* (1)/(2)x+12*5\\72-9x+4 = 6x+60`

Hence,

The correct answer is Option 4: 12