For positive integers $a$, $b$, and $c$, what is the value of the product $abc$? \[ \dfrac {1}{a + \dfrac {1}{b + \dfrac {1}{c}}} = \dfrac38 \]

I don't think the $ signs work as math delimiters.  I would be nice if they did.

That looks like a simple continued fraction ("simple" is a technical term meaning the numerators are all 1).



I could go on for hours about continued fractions.  The way we expand a regular fraction as a continued fraction is essentially Euclid's algorithm for the GCD:



So we have a=2, b=1, c=2, a product

abc=4

128/3reason being 5 and 1/3 = 16/316/3 • 2/3 = 32/31 and 1/3 = 4/3 32/3 • 4/3 this will equal 128/3

Answer: v= lwhstep by step explanation: length x width x heightl = 12kmw = 6kmh = 6km12 x 6 = 7272 x 6 = 432therefore your answer would be c) 432 km^3