what is the answer to 4/4x - 1-3/2x?

Answer 1

ok using the rational expression, you will transpose -1 to the right then get the LCD of the numbers on the left.

4/4x - 3/2x = 1
LCD of 2x, 4x and 1 is 4x so
4/4x - 6/4x = 4x/4x
then multiply all to 4x
you will get 4 - 6 = 4x
-2 = 4x will give u
-2/4 = x
-1/2 = x
check your answer by replacing the value of x by -1/2...
i already did that and it's correct

Answer 2

I'm assuming this expression is : 4/(4x - 1) - 3/(2x).

The first thing to do is make the denominators the same.

Multiply the first term by 2x / (2x), which is really equal to 1,
so it doesn't actually change the term.

This gives : 4 * 2x / [(4x - 1)(2x)].

Now multiply the second term by (4x - 1) / (4x - 1).

This gives : 3 * (4x - 1) / [(4x - 1)(2x)].

Now the expression is :

4 * 2x / [(4x - 1)(2x)] - 3 * (4x - 1) / [(4x - 1)(2x)].

Now that the denominators are the same,
we just subtract the second numerator from the first
and put it all over the common denominator.
This gives :

[4 * 2x - 3 * (4x - 1)] / [(4x - 1)(2x)]
or
(8x - 12x + 3) / [(4x - 1)(2x)]
or
(-4x + 3) / [(4x - 1)(2x)]

which is the final answer as there is nothing to cancel.