To clear denominators from the equation
x
6
+ 2 =
1
4
,
multiply each side of the equation by , the least common multiple of the denominators 6 and 4.
No response
From your confusing typing, I will assume you meant:
x/6 + 2 = 1/4
if that is the case, multiply each term by 12, the LCM to get:
2x + 24 = 3
I assume you know how to proceed.
To clear denominators from an equation, you need to multiply each side of the equation by the least common multiple (LCM) of the denominators.
In this case, the denominators are 6 and 4, so we need to find their LCM.
To find the LCM of 6 and 4, we can list the multiples of each number and find the least common multiple.
The multiples of 6 are: 6, 12, 18, 24, 30, 36, ...
The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, ...
From the above lists, we can see that the least common multiple of 6 and 4 is 12.
Now that we have the LCM, we can multiply each side of the equation by 12:
12 * (x/6 + 2/4) = 12 * (1/4)
Simplifying the equation gives:
2x + 3 = 3
By multiplying each side of the equation by the LCM, we have eliminated the denominators and obtained an equation without fractions.