The answer is:
First employee: 3 gallons
Second employee: 3 1/3 gallons
Total: [tex]3+3\frac{1}{3}=3+\frac{10}{3}=\frac{19}{3}[/tex]
From the statement we know:
First employee uses 3/4 gallon each our, for 4 hours the will use:
[tex]\frac{3}{4}*4=\frac{12}{4}=3 gallons[/tex]
Second employee uses 1 2/3 (5/3) gallon every 2 hours, meaning 5/6 gallon each hour.
[tex]\frac{5}{6}*4=\frac{20}{6}=\frac{10}{3}=3\frac{1}{3}gallons[/tex]
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:
[tex]3+\frac{1}{3} =\frac{(3*3)+(1*1)}{3*1}=\frac{9+1}{3}=\frac{10}{3}[/tex]
Have a nice day!
