Plumbers commonly need to use fractions in their career. The reason for this is that the pipes that they use is measured primarily in fractions, such as 1 3/4' pipe. Plumbers often have to custom make fittings, which requires them to be able to calculate in fractions in order to get a good fit.
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the figure of how long the snake has to go into the pluming area
There is no such example. If you cannot use an exact fraction then there will not be an exact decimal that you can use instead. And, if you are using an approximate decimal, you could use an approximate fraction instead.
compare with random fraction to a benchmark fraction. to tell if a fraction is less or greater than another fraction.
You use a reciprical in dividing fractions. 1st you write down the problem. then you flip over the 2nd fraction and multiply the 1st fraction with the second fraction, and there is your answer,
Divide the numerator by the denominator.