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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