Compare the fractions. use < , =, or > . -2/3 -2/8

Step-by-step explanation:

To compare fractions is useful to express the fractions as decimals and compare the values of the decimals first.

Using a calculator we can find that and .

Now, remember that wen comparing negative numbers the smallest number is the greater one; this is because the closest a negative number is to zero the greatest is value.

-0.66666... and -0.25 are both negative. Since -0.25 is smaller (closer to zero), -0.25 is bigger than -0.66666... In other words, -0.25 > -0.66666...

We know that and , so we can get back to our original fractions:

We can conclude that is greater than

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0