Two employees are painting a boat. One uses ¾ gallon of paint each hour, one uses 1 ⅔ gallon of paint every 2 hours. How much paint will they use in 4 hours?

Hello!The answer is:First employee: 3 gallonsSecond employee: 3 1/3 gallonsTotal: [tex]3+3\frac{1}{3}=3+\frac{10}{3}=\frac{19}{3}[/tex]Why?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!