Hans wants to find the smallest of the fractions
and
he uses 0 and 1 as benchmarks. which fraction is closest to 0?

answer:

1/9

step-by-step explanation:

it is the smallest fraction, if turned into a decimal, it would be the smallest number (closest to 0).

answer:

1/9

step-by-step explanation:

3/3 = 3*3/3*3 = 9/9 =1

2/3 = 2*3/3*3 = 6/9

so, 1/9 is closest to 0

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.