standard_description: Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
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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