Question

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

a.2
b.6
c.10
d.12

Answer 1

The answer is 12 because it is the least common multiple among the denominators

Answer 2

Explanation:

while solving an equation involving fractions we eliminate the fraction by multiplying the LCD of all the denominators present in the equation . LCD means Least common Denominator so for this question when we try to eliminate the denominator we first try to find the LCM (2,4,6) because that will give us the LCD.

2=2

4=2·2

6=2·3

LCM = 2·2·3

LCM = 12

It means we need to multiply the 12 to each term of equation to eliminate the fractions before solving.

d.12