Problem

6. Solve the word problem. Simplify, if possible.
Josh is scuba-diving and has stopped $8 \frac{1}{4}$ meters below sea level. Directly above Josh is a stingray floating $6 \frac{2}{5}$ meters below sea level. What is the distance between Josh and the stingray?
1.4 meters
1.85 meters
1.65 meters
$\mathbf{1 . 1 5}$ meters

Answer

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Answer

\(\boxed{1.85}\) meters

Steps

Step 1 :Convert mixed numbers to improper fractions: Josh's depth = \(\frac{33}{4}\), Stingray's depth = \(\frac{32}{5}\)

Step 2 :Subtract Stingray's depth from Josh's depth to find the distance: \(\frac{33}{4} - \frac{32}{5} = \frac{37}{20}\)

Step 3 :Convert the result back to a decimal number: \(\frac{37}{20} = 1.85\)

Step 4 :\(\boxed{1.85}\) meters

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