Answer :

Answer:

1/6

Step-by-step explanation:

First note that 49 and 4 are both squares. Therefore √49/4 = 7/2.
The distance on the number line is the difference between the numbers.
Now calculate:
11/3 - 7/2 = 22/6 - 21/6 = 1/6

Step-by-step explanation:

what is the actual second number ?

sqrt(49)/4

or

sqrt(49/4)

?

there is a big difference.

I suspect it is sqrt(49/4). please consider that 49 and 4 are squared numbers (7²/2²). so, the square root is simple :

7/2

that means we need to calculate the distance (difference) between 11/3 and 7/2.

for that we need to bring both fractions to the same denominator (bottom parts).

that is the LCM (lowest common multiple) of the 2 original denominators. for 2 and 3 that is simply 6.

so,

11/3 = x/6

x = 66/3 =22

11/3 = 22/6

7/2 = x/6

x = 42/2 = 21

7/2 = 21/6

the distance or difference between 11/3 and 7/2 is then

22/6 - 21/6 = 1/6

now, if the first possibility (sqrt(49)/4) is true, then we actually have

11/3 and 7/4

again, we need to bring both to the same denominators.

for 3 and 4 the LCM is 12.

11/3 = x/12

x = 132/3 = 44

11/3 = 44/12

7/4 = x/12

x = 84/4 = 21

7/4 = 21/12

the distance or difference between 11/3 and 7/4 is then

44/12 - 21/12 = 23/12