standard_description: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
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
$$\frac13 \div 4$$
.
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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?


aligns: no