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 Question from theresa: we have a oil tank that holds 400 gallons of oil currently there is 11/16 volume in the tank how many gallons are there?

Theresa,

I can show you haw to make a quick approximation and then how to find the exact answer.

$\frac{8}{16} = \frac{1}{2}$ and $\frac{1}{2} \times 400 = 200$ so if there were $\frac{8}{16}$ of the volume in the tank it would be 200 gallons.

$\frac{12}{16} = \frac{3}{4}$ and $\frac{3}{4} \times 400 = 300$ so if there were $\frac{12}{16}$ of the volume in the tank it would be 300 gallons.

Thus the correct answer is between 200 gallons and 300 gallons. The exact answer is $\frac{11}{16} \times 400$ gallons.

Harley

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.