Unit 3 Lesson 4

Add and Subtract Unlike Fractions

1. Find a common denominator (3 and 4 both go into 12).

2. Make equivalent fractions so 12 is the new denominator.

3. Add the new fractions together (numerators only)

​Subtracting Fractions works the same as adding...

1. Find a common denominator.

2. Make equivalent fractions.

3. Add the new numerators.

• First find a common denominator (2 and 3 both go into 6).

• Next, change both fractions to 6ths using equivalent fractions.

• Finally, add the new fractions together (remember to only add the numerators).

Multiple Choice

What is the least common denominator of 

$$\frac{1}{4}$$  and  $$\frac{2}{5}$$  

• 5

• 25

• 10

• 20

Multiple Choice

What is the least common denominator of 

$$\frac{6}{8}$$  and  $$\frac{4}{12}$$   

• 12

• 24

• 8

• 16

Pros:
-can find an answer quicker

Cons:
-answer might need to be reduced

​Butterfly Method

Pros:
-answer will be in simplest form

Cons:
-may take longer to find LCM

​LCM Method

Pros and Cons of Each Method

The method YOU are most comfortable with!

which method should I use?

Multiple Choice

$$\frac{8}{9}-\frac{1}{3}=$$   

• $$\frac{7}{6}$$  

• $$\frac{5}{9}$$  

• $$\frac{2}{3}$$  

• $$\frac{8}{27}$$  

Multiple Choice

$$\frac{1}{2}+\frac{1}{3}=$$  

• $$\frac{5}{6}$$  

• $$\frac{2}{5}$$  

• $$\frac{1}{5}$$

• 1

Multiple Choice

$$\frac{1}{4}+\frac{5}{8}=$$  

• $$\frac{6}{8}$$  

• $$\frac{6}{12}$$  

• $$\frac{7}{8}$$  

• $$\frac{8}{8}$$  

Multiple Choice

$$\frac{2}{3}-\frac{1}{2}=$$  

• $$\frac{3}{7}$$  

• $$\frac{1}{6}$$  

• $$\frac{1}{5}$$  

• $$\frac{7}{6}$$  

Multiple Choice

$$\frac{2}{6}+\frac{1}{2}$$  

• 5/6

• 3/6

• 4/6

• 3/8

Multiple Choice

$$\frac{9}{10}-\frac{3}{4}$$  

• 5/7

• 3/20

• 3/8 

• 9/10

Multiple Choice

I ate $$\frac{1}{3}$$ of a pizza. Cody ate $$\frac{1}{2}$$ of the same pizza. How much did they eat of the pizza?

• $$\frac{5}{6}$$

• 1 whole

• $$\frac{1}{3}$$

• $$\frac{3}{4}$$

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Jessica rode her bike $$8\ \frac{5}{9}$$   miles last week and $$5\ \frac{1}{3}$$  miles this week. How many miles did Jessica ride last week and this week combined?

• $$13\ \frac{1}{2}$$  

• $$13\ \frac{8}{9}$$  

• $$3\ \frac{2}{9}$$  

• $$12\ \frac{5}{9}$$  

Multiple Choice

Blake had $$\frac{2}{3}$$ of a cake left after his birthday party. His sister, Bethany, ate $$\frac{1}{6}$$ of the leftover cake. How much cake is left?

• $$\frac{1}{6}$$

• $$\frac{1}{9}$$

• $$\frac{3}{5}$$

• $$\frac{1}{2}$$

Multiple Choice

$$6\frac{1}{2}-3\frac{7}{8}$$

• $$3\frac{5}{8}$$

• $$2\frac{5}{8}$$

• $$3\frac{6}{8}$$

• $$9\frac{8}{8}$$

Multiple Choice

$$5\frac{1}{2}-3\frac{2}{3}$$

• $$2\frac{1}{6}$$

• $$2\frac{5}{6}$$

• $$8\frac{5}{6}$$

• $$1\frac{5}{6}$$

Multiple Choice

$$2\ \frac{2}{10}+5\ \frac{1}{5}=$$  Reduce if needed.

• $$5\ \frac{3}{4}$$  

• $$7\ \frac{2}{5}$$  

• $$3\ \frac{3}{5}$$  

• $$7\ \frac{4}{10}$$  

Multiple Choice

Amaya had $$\frac{2}{3}$$ of a sandwich. The next day she ate $$\frac{1}{2}$$ of the sandwich. How much of the sandwich did she have left?

• 1/6

• 1/2

• 2/3

• 3/2

Multiple Choice

Jenna bought a spool of ribbon for her craft projects. It contained $$5\frac{3}{4}$$ meters of ribbon.  She used $$3\frac{2}{5}$$ meters of ribbon for a project.  How many meters of ribbon does Jenna have left?

• $$2\frac{7}{20}$$

• $$1\frac{8}{20}$$

• $$4\frac{3}{20}$$

• $$3\frac{7}{20}$$

Multiple Choice

John's full backpack weighs $$5\frac{1}{2}$$ pounds and Tyrone's full backpack weighs $$6\frac{3}{5}$$ pounds. What is the total weight of both boys' backpacks?

• $$12\frac{4}{10}$$

• $$10\frac{2}{10}$$

• $$11\frac{1}{10}$$

• $$12\frac{1}{10}$$

Multiple Choice

To make some punch for a party, Michael mixed $$10\frac{1}{4}$$ bottles of apple juice and $$2\frac{1}{4}$$ bottles of soda. How many bottles of punch did Michael make? Answer in simplest form.

• $$12\frac{1}{2}$$ bottles

• 13 bottles

• $$12\frac{2}{4}$$ bottles

• 14 bottles

Multiple Choice

An amusement park sold $$6\frac{4}{5}$$ gallons of soda. $$2\frac{1}{5}$$ gallons were regular soda, and the rest was diet soda. How many gallons of diet soda were sold?

• $$8\frac{3}{5}$$ gallons

• 9 gallons

• $$4\frac{3}{5}$$ gallons

• $$8\frac{5}{5}$$ gallons

Multiple Choice

Amy made a fruit salad with $$\frac{11}{10}$$ pounds of watermelon and $$5\frac{3}{10}$$ pounds of berries. How many pounds of fruit did Amy use in all? Answer in simplest form.

• $$6\frac{4}{10}$$ pounds

• $$6\frac{5}{2}$$ pounds

• $$4\frac{2}{10}$$ pounds

• $$6\frac{2}{5}$$ pounds

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