Which of the following best represents the fraction form of the decimal 0.6666 ?

If a and b are positive integers such that a + b = 9, then

what is the value of \dfrac{b-9}{4a}

When a particular number is added to its own reciprocal, the resulting sum is −2. The number is which of the following?

Arrange these fractions in order of size, from largest to smallest:

\dfrac{4}{15} , \dfrac{2}{5},\dfrac{1}{3}

If -1< x < 0, then the size relationship among -x^2, x, \dfrac{1}{x} is

If a,b are real numbers such that the fraction function y = \dfrac{ax+b}{x^2+1} has minimum value -1 and maximum value 4, find the value of a,b

If the fraction function y = \dfrac{ax^2+bx+6}{x^2+2} has minimum value 2 and maximum value 6, find the value of a,b

If 0< m< 1 such that a = 1-\dfrac{1}{m}, b = \dfrac{1}{m}-1, c = m-\dfrac{1}{m}, d = \dfrac{1}{m}-m, then

If 8=\dfrac{1}{\dfrac{1}{x^{-3}} } , then x =

If x\ne 0, then \dfrac{x+1}{6x}+\dfrac{x+1}{2x}=

If x^5 = 1 , find the value of the fractional expression \dfrac{x}{1+x^2}+\dfrac{x^2}{1+x^4}+\dfrac{x^3}{1+x}+\dfrac{x^4}{1+x^3} .

If a, b, c \in N , and 1\leq a\leq b\leq c , find all a,b,c numbers that hold the equation always true,

\dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c}=\dfrac{3}{4}

For all x ≠ \dfrac{1}{2} , \dfrac{6x^2-x-2}{4x^2-1}=

If a^2-3a+1=0 , find the value of the algebraic expression 3a^3-8a^2+a+\dfrac{3}{a^2+1}

Given a+b+c=0 , abc ≠ 0 , a, b,c, are not equal to each other, find the value of

\dfrac{a^2}{bc} +\dfrac{b^2}{ac} +\dfrac{c^2}{ab}