A math teacher or a mathematician.
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There are 137 jobs that use fractions.
The fraction 1/3=0.3333333... In this case it is better to use fractions just like in all cases. There will be no case when decimals will work better than fractions however, if a test says to use decimals; USE THEM!
A strong working understanding of fractions and decimals is essential for nurses. They must be familiar enough with fractions and decimals to quickly and accurately divide, multiply, add and subtract dosages as well as convert fractions to decimals and vice versa. Conceptual understating of fractions and decimals is essential since half doses, extra doses and time-delayed dosages must be calculated correctly. Nurses also need to know how to convert fractions and decimals to percentages in order to explain medication instructions accurately and easily to their patients. Read more about how math is related to nursing at the link I provided below.
You use fractions (or some variation, such as decimals) in any situation where whole numbers are not sufficient. For example, when you want to measure the object of a length in meters, and a whole number of meters is not precise enough.