Solve the following problems:
a. An artist takes 1 hour and 15 minutes to prepare a wall for a painting and 2 and a half hours to paint it. Represent graphically the time it will take to perform each of the processes involved in the work. Calculate the time it will take to perform the work.
b. Sergio keeps track of his training and expresses the amount of time as fractions. If on Monday he trained for 39/50 h, on Tuesday he trained 3/25 h more than on Monday, and on Wednesday he trained 1 1/10 h, how much time did he train in total during the three days?
c. Benito has a watch that gives him the distances traveled expressed as fractions. When going from his house to a friend's house, he observes on his watch that he walked 11/12 km, jogged 3/10 km, and ran 1/6 km. How many kilometers did he travel in total?
d. Angelica follows a recipe that indicates mixing 9/5 kg of flour, 1/4 kg of sugar, and 11/50 kg of nuts. How many kilograms of the mixture do you estimate Angelica has? Check by calculating the exact value.
e. A machine delivers the time, expressed as a mixed number, that a person takes in the 3 processes of making a product. If Carlos' times were 15 3/4 min in the first process, 5 3/10 min in the second, and 4 1/12 min in the third, how long did he take in total?
f. In a 2 1/4 L bottle, half of the juice is left. How many liters of juice are missing to fill it up? Explain your procedure and compare it with that of your classmates.
g. What natural number can be added to the numerator and subtracted from the denominator of the fraction 3/5 to obtain the fraction 5/8?