(5 points each) For each of the following, write a number sentence using fractions and solve for the answer using the algorithms for operations of fractions. For example, your answer to a problem should take the form of something that looks like 1 1/3 - 1/2 = 4/3 - 1/2 = 8/6 - 3/6 = 5/6. You do not have to model anything with pictures. a. I am going to paint a house. I need to paint 5 2/5 equal size walls. Each gallon of paint will allow me to paint 1 3/4 walls. How many gallons (include parts of a gallon as fractions) will I need to complete the job? b. I have 8 1/4 pounds of dog food. My dog ate 1/3 of a pound today. How many pounds do I have left? c. I have 2 2/3 gallons of gas in my garage. I give 1/5 of what I have to a friend. How many gallons did I give away to my friend? d. I have 3 feet of ribbon. I need to cut it into 1/6 foot sections for a project I'm doing. How many pieces of ribbon can I make by cutting it into 1/6 foot sections?
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To paint 5 equal size walls, and each gallon of paint covers 1/5 of a wall, we need to find how many gallons are needed in total. We can represent this as a multiplication problem: 5 * (1/5). $$5 * \frac{1}{5} = \frac{5}{1} * \frac{1}{5} = \frac{5}{5} = Show more…
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