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Enter the simplified form of the complex fraction in the box.

Assume no denominator equals zero.

2/x-3 - 3/x
---------------
3/x-3

ASAP Help Please View Attachments NO FAKE ANSWERS Enter the simplified form of the complex fraction in the box Assume no denominator equals zero 2

Answer :

The Simplified Form of the given complex fraction is 9 - x/3x

The given problem is:

2/x-3 - 3/x

---------------

3/x-3

We now do L.C.M. of numerator and same written denominator as it is and add together

L.C.M is the short form for “Least Common Multiple.” The least common multiple is defined as the smallest multiple that two or more numbers have in common. For example: Take two integers, 2 and 3. Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20….

Fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

2x-3x+9 / x (x-3)

----------------------

3 / x- 3

Dividing by a fraction is same as multiplying by its reciprocal, so we have

2x-3x+9 (x - 3)

-------------- * --------

x ( x-3) 3

(x - 3) cancels out, so can multiply and write

- x + 9

--------------

3x

can be written as

9 - x / 3x

Therefore the simplified form is 9 - x / 3x.

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