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

Answer:

$(-\frac{7}{6} )$

Step-by-step 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

$(-1\frac{2}{3}) -(-\frac{1}{2} )$

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

$-(1\frac{2}{3} )-(-\frac{1}{2} )$

Change first term to improper fraction

$=-(\frac{5}{3} )-(-\frac{1}{2} )$

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

$=(-\frac{5}{3} )-(-\frac{1}{2})$

$=\frac{-5}{3} +\frac{1}{2} =\frac{-10+3}{6} =\frac{-7}{6}$

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

$=\frac{-7}{6}$