Question

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A fish was swimming 3 1/2 feet below the water's surface at 7:00 a.m. Four hours later, the fish was at depth that is 5 1/4 feet below where it was at 7:00 a.m. What rational number represents the position of the fish with respect to the water's surface at 11:00 a.m.?

Answer 1

$\frac{35}{4}$ feet below the surface

adding the 2 quantities

3 $\frac{1}{2}$ + 5 $\frac{1}{4}$

= (3 + 5 ) + ($\frac{1}{2}$ + $\frac{1}{4}$)

= 8 + ($\frac{2}{4}$ + $\frac{1}{4}$)

= 8 + $\frac{3}{4}$ = 8 $\frac{3}{4}$ = $\frac{35}{4}$