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Welcome to our Math lesson on Comparing Percentages, Fractions and Decimals, this is the fifth lesson of our suite of math lessons covering the topic of Percentages, Fractions and Decimals, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Since percentages, fractions and decimals converge in the fact that all of them are methods of expressing amounts (especially non-whole ones), it is important to know how to compare amounts expressed in all these methods. To do this, obviously you have to transform all numbers to the same method of expression first. This means you have to write all numbers as percentages or express them as fractions or decimals. After doing this, the comparison is very easy. Let's consider an example.
Three employees had to submit a report on sales in a company. When asked for an update on the process, the first employee declared that she has already completed 67.8% of the report, while the second and third employee declared the values 21/31 and 0.685 of the report respectively. Find which employee is ahead and who is behind with the task.
We must write all values in the same way to make the comparison. Since our current chapter is about percentages, we are going to write all values as percentages. Thus, the first employee has already answered in percentages, so no need to make changes in the value she declared. Hence, Employee (1) = 67.8% of the task.
As for the second employee, we obtain
of the report.
Finally, the third employee completed
of the report.
Therefore, comparing the above percentages, we obtain the results for the task for the three employees, when writing them in ascending order we have:
Hence, ordering the employees from the most productive yields
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