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Fraction calculation problem
(/is the fractional line)

Score:

1, when 1/x- 1/y=5, find the value of the score (3x+5xy-3y)÷(x-3xy-y).

Answer: 5/4

2. given a+b+c=0, find a (1/b+1/c)+b (1/c+1/a)+c (1/a+/kloc).

Answer: -3

3. Solve the equation: (x-8)/(x-3)-(x-9)/(x-4) = (x+7)/(x+8)-(x+2)/(x+3).

Answer: x =-2/3

4. When a is what value, the equation x/(x-3)=2+a/(x-3) about X will generate root growth?

Answer: When a = 3, this fractional equation will produce root growth.

The buyer of Hualian Department Store found a shirt in Suzhou, which is expected to sell well, so he bought all the shirts with 80 thousand yuan, which is twice as badly needed. It was introduced that he bought a shirt in Shanghai for 176000 yuan, but the unit price was more expensive than that in Suzhou, 4 yuan. Everything in the commercial building is sold in 58 yuan, and the market is very good. The last remaining 150 pieces were sold out at a 20% discount. How much is the profit of commercial buildings?

A: The profit of this business is 90,260 yuan.

Xiaoming's family is going to decorate their new house. If Party A and Party B are two decoration companies, the cooperation will be completed in 6 weeks, and the salary will be 52,000 yuan. If Company A does it alone for 4 weeks, and the rest is done by Company B, it will take 9 weeks to complete, and it will cost 48,000 yuan. If only one company is selected to do it alone, from the perspective of saving money, does Xiaoming choose company A or company B? Please explain the reason.

Answer: From the perspective of saving money, Company B should be chosen to complete it alone.

7. For the score (x-5)/(2x- 1), it is meaningful when x _ _ _ _ _ _ _, and meaningless when x _ _ _ _ _ _ _.

Answer: not equal to1/2; 1/2

8. If the equation (x-3)/(x-1) = m/(x-1) has an augmented root, then the augmented root is _ _ _ _ _ _, and the value of m is _ _ _ _ _.

Answer:1; -2

1.(x+y)/y-2x/(x+y)+x^3/y(x^2-y^2)

2.a/(a-b)+a/(a+b)+2a^2/(a^2+b^2)+4a^4/(a^4+b^4)+8a^8/(a^8+b^8)

xyz= 1

x y z

- + - + - =?

xy+x+ 1 yz+z+ 1 zx+z+ 1

Original formula = x/(xy+x+XYZ)+y/(yz+z+1)+yz/(XYZ+yz+y)

= 1/(y+ 1+yz)+y/(yz+z+ 1)+yz/( 1+yz+y)

=( 1+y+yz)/( 1+y+yz)

= 1

((x? -4/x? -4x+4)-(x-2/x+2)) times x-2/x.

[(x 2-4)/(x 2-4x+4)-(x-2)/(x+2)] times (x-2)/x.

= [(x-2) (x+2)/(x-2) 2-(x-2)/(x+2)] times (x-2)/x.

=[(x+2)/(x-2)-(x-2)/(x+2)] times (x-2)/x.

= [(x+2) 2-(x-2) 2/(x-2) (x+2)] times (x-2)/x.

=[(x+2)^2-(x-2)^2]/[x(x+2)]

=[(x^2+4x+4-(x^2-4x+4)]/[x(x+2)]

=8x/[x(x+2)]

=8/(x+2)

Given 2x 2+x+4y 2+4xy =- 1, find the value of (x+y)-2.

2x^2+x+4y^2+4xy=- 1/4

2x^2+x+4y^2+4xy+ 1/4=0

(x^2+4xy+4y^2)+(x^2+x+ 1/4)=0

(x+2y)^2+(x+ 1/2)^2=0

x+2y=0

x+ 1/2=0

solve

x=- 1/2

y= 1/4

It is known that A+B+C=0, and verified as: (1/B2+C2-A2)+1/C2+A2-B2 =1/C2-A2-B.

a+b+c=0,

a=-(b+c),b=-(a+c),c=-(a+b)。

1/(b^2+c^2-a^2)+ 1/(c^2+a^2-b^2)+ 1/(a^2+b^2-c^2)

= 1/[b^2+c^2-(b+c)^2]+ 1/[c^2+a^2-(a+c)^2]+ 1/[a^2+b^2-(a+b)^2]

= 1/(-2bc)+ 1/(-2ac)+ 1/(-2ab)

=- 1/2*(a+b+c)/(abc)

=0

Therefore, (1/B2+C2-A2)+1/C2+A2-B2 =1/C2-A2-B2.

1. If m is equal to its reciprocal, the value of the score (m+4m+4 squared) /(m+2m squared) /(m-2) is _ _ _ _ _ _ _ _ _ _.

2. Fill in the blanks-a+ab-b/a+b =-1+_ _ _

3.(x squared +9x)/(x squared +3x)+(x squared -9)/(x squared +6x+9)

4. Simplify first and then evaluate; (1/x-2/x squared) /( 1-2/x) where x=-3.5.

5. Simplify first and then evaluate; (x-3/x squared) /(x-3)/(x squared+2x+1)-1/x-1.

Where x= radical 2+ 1

6. Calculate (a- 1)/a/(a- 1/a)

1. If m is equal to its reciprocal, then the value of the fraction (m squared+4m+4)/(m squared)/(m squared+2m) /(m-2) is _ _ because if m is equal to its reciprocal, whether m= 1 or m =-652.

2. Fill in the blanks -a+ab-b/a+b=- 1+b-b/a squared+b/a.

3.(x squared +9x)/(x squared +3x)+(x squared -9)/(x squared +6x+9). Has this question been simplified? (x+9)*(x-3)/(x+3)

4. Simplify first and then evaluate; (1/x-2/x squared) /( 1-2/x) where x=-3.5.

Simplified: 1/x, value =-2/7.

5. Simplify first and then evaluate; (x-3/x squared) /(x-3)/(x squared+2x+1)-1/x-1.

Where x= radical 2+ 1

If the formula "/"indicates a fraction, "(x squared+2x+1)-11"indicates that the denominator is x- 1 or minus one tenth?

6. Calculate (a- 1)/a/(a- 1/a)

The square of = (a-1)/the square of a

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