**Simplify Complex Fraction**

**(1)**

3 2

--- + ---

7 3

16 2

--- - ---

21 7

**(2)**

**8**

**(3)**

**9 18**

**(1)**

3 2

--- + ---

7 3

----------

16 2

--- - ---

21 7

16 2

--- - ---

21 7

10+--

x

---------

20

25+----

x

1- --- + -------

x x^2

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

2 15

1+ --- - -------

x x^2

3 2

--- + ---

7 3

----------

16 2

--- - ---

21 7

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1) simplify the top by adding 3/7 + 2/3

the common denominator is 21, so it becomes 9/21 + 14/21 = 23/21.

Now, simplify the bottom by subtracting 16/21 - 2/7

the common denominator here is also 21, so this becomes 16/21 - 6/21 = 10/21.

The line that divides the top from the bottom means DIVISION.

Thus, 23/21 ÷ 10/21

But remember that when you divide, you change to multiplication and "flip" the second fraction (it's called the reciprocal).

So, now you have 23/21 • 21/10 = 23/10 (the 21s cancel since one is on top and one is on the bottom)

the answer in proper form is 2 3/10

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## Comments

^{2 }to get:^{2}- 9x +18^{2 }+ 2x - 15