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Understanding Cake Portions: Finding Servings in 4/5 of a Cake

This guide helps 5th graders solve the problem of how many servings can be obtained from 4/5 of a cake, given that 2 1/3 of a cake makes one serving. We will write an equation to represent the problem, ( x = frac{4/5}{1/3} ), and explore what it means to divide fractions. Through a step-by-step approach, we'll discover that the answer is 2 2/5 servings. This explanation includes visuals and relatable examples to ensure comprehension and engage young learners in practical math.

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Understanding Cake Portions: Finding Servings in 4/5 of a Cake

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  1. 2. 1/3 of a cake makes 1 serving. How many servings can we get from 4/5 of a cake? (a) Write an equation to represent the problem.Let x be the answer. x 4/5 ÷ 1/3 =

  2. 2. 1/3 of a cake makes 1 serving. How many servings can we get from 4/5 of a cake? (b) Solve this problem in a way such that it is meaningful for a 5th grader. 4/5 1/3 ? 4/5 ÷ 1/3

  3. 2. 1/3 of a cake makes 1 serving. How many servings can we get from 4/5 of a cake? (b) Solve this problem in a way such that it is meaningful for a 5th grader. 4/5 1/3 What does 4/5 ÷ 1/3 actually mean? How many 1/3 are in 4/5? 4/5 ÷ 1/3

  4. 2. 1/3 of a cake makes 1 serving. How many servings can we get from 4/5 of a cake? (b) Solve this problem in a way such that it is meaningful for a 5th grader. 4/5 1/3 How many 1/3 are in 4/5? 4/5 ÷ 1/3 More than 2 but less than 3.

  5. 2. 1/3 of a cake makes 1 serving. How many servings can we get from 4/5 of a cake? (b) Solve this problem in a way such that it is meaningful for a 5th grader. 4/5 How do you find the exact answer? 1/3 How many 1/3 are in 4/5? 4/5 ÷ 1/3 2 5 Answer: 2

  6. We have seen why the answer is 2 2/5. Can you see 12/5 in these pictures? 4/5 1/3 How many 1/3 are in 4/5? 4/5 ÷ 1/3 12 5 2 5 Answer: 2 or

  7. We have seen why the answer is 2 2/5. Can you see 12/5 in these pictures? 4/5 1/3 How many 1/3 are in 4/5? 4/5 ÷ 1/3 12 5 2 5 Answer: 2 or

  8. 2. 1/3 of a cake makes 1 serving. How many servings can we get from 4/5 of a cake? (c) What is the referent whole for the dividend 4/5? One cake 4/5 of a cake 1/3 How many 1/3 are in 4/5? 4/5 ÷ 1/3 12 5 2 5 Answer: 2 or

  9. 2. 1/3 of a cake makes 1 serving. How many servings can we get from 4/5 of a cake? (d) What is the referent whole for the divisor 1/3? One cake How many 1/3of a cake are in 4/5 of a cake? 4/5 of a cake Can you see 12  5? ofa cake 1/3 How many 1/3 are in 4/5? 4/5 ÷ 1/3 12 5 2 5 Answer: 2 or

  10. 2. 1/3 of a cake makes 1 serving. How many servings can we get from 4/5 of a cake? (d) What is the referent whole for the divisor 1/3? One cake How many 5/15of a cake are in 12/15 of a cake? 4/5 of a cake How many 5 pieces are in 12 pieces? ofa cake 1/3 4/5 ÷ 1/3 12 5 12 5 = Answer:

  11. 2. 1/3 of a cake makes 1 serving. How many servings can we get from 4/5 of a cake? (e) What is the referent whole for the quotient 2 ? 2 5 1/3 of a cake of 1/3 cake is equal to 4/5 cake. 4/5 of a cake 2 14 5 3 5 41 2 535 2  = ÷ = 2 ofa cake 1/3 How many 1/3 are in 4/5? 4/5 ÷ 1/3 12 5 2 5 2 5 or Answer: 2 2

  12. In summary, what is the referent whole for each of these numbers? The referent whole for the quotient is the divisor. 2 14 5 3 5 41 2 535 2  = ÷ = 2 In repeated-subtraction view of division, the referent whole for the dividend and divisor are by default 1 unit. In fractional part of a quantity view of multiplication, the referent whole for the multiplicand and the product is by default 1 unit. 2 2/5 is a fraction of another fraction. Its referent whole is the multiplicand.

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