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:[tex](-\frac{7}{6} )[/tex]Step-by-step explanation:From the question the emerald was located at a depth which is between -1/2 and -1 2/3 metersThis statement can be written as [tex](-1\frac{2}{3}) -(-\frac{1}{2} )[/tex]To get the depth, you find the depth of the emerald location, you find difference between the two mentioned depths[tex]-(1\frac{2}{3} )-(-\frac{1}{2} )\\\\[/tex]Change first term to improper fraction[tex]=-(\frac{5}{3} )-(-\frac{1}{2} )\\\\[/tex]Find the LCM to solve the operation the involves the fractions.The Least common multiple here is 6 i.e 3*2[tex]=(-\frac{5}{3} )-(-\frac{1}{2})\\[/tex][tex]=\frac{-5}{3} +\frac{1}{2} =\frac{-10+3}{6} =\frac{-7}{6}[/tex]The number that could represent the depth at which the emerald was located is [tex]=\frac{-7}{6}[/tex]