1. consider the rational numbers 4/13 and 3/10 . a. which number is the larger number? explain. b. what is a rational number between the two given numbers?

A.      4/13      3/10

find a common denominator which is 130

    mult. by 10/10   and the second one by 13/13

   40/130    and 39/130

so, that means 4/13 is larger because after you find a common denominator, compare the top numbers to find the larger and 40 is larger than 39.

B.   a rational number between them would be 39.5/130

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)