When simplifying algebraic fractions, do you simplify things attached by addition/subtraction?
EX. 4d-1
_____
6d
Would you be able to further simplify it to:
2d-1
________
3d
no
that would be
2 d - 1/2
----------
3 d
however if the problem had been
4 d - 2
----------
6 d
then you could say
2 d - 1
--------
3d
and if the problem had been:
21a-3
------
7a-6
then it would be:
3a-1
-----
a-2
When simplifying algebraic fractions, you can simplify terms attached by addition or subtraction separately. In the given example, we have the fraction:
(4d - 1) / 6d
To simplify this fraction further, we can simplify the numerator and denominator separately. Let's start with the numerator:
4d - 1 = 2(2d) - 1
You can see that 4d can be split as 2 multiplied by 2d, which gives us 2(2d). Now, we have:
2(2d) - 1 = 4d - 1
Now, let's focus on the denominator:
6d = 2 * 3d
Again, 6d can be represented as 2 multiplied by 3d. Now, we have:
2 * 3d = 6d
Putting the simplified numerator and denominator together, we have:
(4d - 1) / 6d = (4d - 1) / (2 * 3d) = (4d - 1) / 6d
Therefore, the simplified algebraic fraction cannot be further simplified to (2d - 1) / 3d.