Review the work showing the first few steps in writing a partial fraction decomposition.
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The answer is:
First employee: 3 gallons
Second employee: 3 1/3 gallons
Total:
From the statement we know:
First employee uses 3/4 gallon each our, for 4 hours the will use:
Second employee uses 1 2/3 (5/3) gallon every 2 hours, meaning 5/6 gallon each hour.
Remember, to sum (algebraic sum) fractions we should follow the next steps:
First: Multiply both fractions denominators by each other in order to get the denominator of the new fraction.
Second: Multiply the numerator of the first fraction by the denominator of the second fraction.
Third: Multiply the denominator of the first fraction by the denominator of the second fraction.
Fourth: Sum (algebraic sum) each result and divide it into the number obtained from the first step (denominator of the new fraction).
Example:
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