standard_description: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
problem_activity: Problem 1
Nolan gives some Fruit-by-the-Foot to his
$$3$$
friends to share equally.
a.   If he has
$$3$$
feet of Fruit-by-the-Foot, how many feet of Fruit-by-the-Foot will each friend receive?
b.   If he has
$$1$$
foot of Fruit-by-the-Foot, how many feet of Fruit-by-the-Foot will each friend receive?
c.   If he has
$${1\over2}$$
foot of Fruit-by-the-Foot, how many feet of Fruit-by-the-Foot will each friend receive?
d.   If he has
$${1\over3}$$
foot of Fruit-by-the-Foot, how many feet of Fruit-by-the-Foot will each friend receive?
Problem 2
Priya and Mai used the diagrams below to find the value of
$$\frac13 \div 4$$
.
|                      **             Priya’s diagram:            **                       |                       **             Mai’s diagram:            **                        |
|------------------------------------------------------------------------------------------|------------------------------------------------------------------------------------------|
| .. image:: https://d21royfkw9g4l6.cloudfront.net/uploads/2022/05/05/g5mathu5l19_at2a.png | .. image:: https://d21royfkw9g4l6.cloudfront.net/uploads/2022/05/05/g5mathu5l19_at2b.png |
a.   What is the same about the diagrams?
b.   What is different?
c.   Find the value that makes the equation true.
$$\frac13 \div 4 =$$
____
Problem 3
a.    Solve. Then check your work.
$${{1\over5}\div2}$$
$${{1\over6}\div4}$$
$${{1\over9}\div6}$$
b.   What do you notice in Part (a)? What do you wonder?


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