Question

drako found an emarald in a cave at a depth between negative 1\2 and negative 1 2\3 meters. Which number could represent the depth at which the emerald is located ?

Answer 1

-3/4

Explanation:

I just took the quiz on edge

Answer 2

`(-(7)/(6) )`

Explanation:

From the question the emerald was located at a depth which is between -1/2 and -1 2/3 meters

This statement can be written as

`(-1(2)/(3)) -(-(1)/(2) )`

To get the depth, you find the depth of the emerald location, you find difference between the two mentioned depths

`-(1(2)/(3) )-(-(1)/(2) )\\\\`

Change first term to improper fraction

`=-((5)/(3) )-(-(1)/(2) )\\\\`

Find the LCM to solve the operation the involves the fractions.The Least common multiple here is 6 i.e 3*2

`=(-(5)/(3) )-(-(1)/(2))\\`

`=(-5)/(3) +(1)/(2) =(-10+3)/(6) =(-7)/(6)`

The number that could represent the depth at which the emerald was located is

`=(-7)/(6)`