Question

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

Answer 1

Answer:

The correct answer is Option 4: 12

Step-by-step explanation:

Given equation is:

$6-\frac{3}{4}x+\frac{1}{3} = \frac{1}{2}x+5$

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.

$12*6-12*\frac{3}{4}x+12*\frac{1}{3} =12* \frac{1}{2}x+12*5\\72-9x+4 = 6x+60$

Hence,

The correct answer is Option 4: 12