Adding and Subtracting Mixed Numbers

Quiz #2 Review - Add and Subtraction of Fractions and Mixed Numbers Plus

by Guy May

​Converting Mixed Numbers to Improper Fractions

​Multiply the denominator with the whole number and add the denominator.

​The result is the numerator.

​Keep Denomiator.

Multiple Choice

Convert this mixed number to an improper fraction.

• $$\frac{24}{5}$$

• $$\frac{10}{5}$$
  

• $$\frac{30}{5}$$
  

• $$\frac{34}{5}$$

Multiple Choice

Convert this mixed number to an improper fraction.

• $$\frac{1}{15}$$

• $$\frac{15}{15}$$
  

• $$\frac{16}{15}$$
  

• $$\frac{2}{15}$$

​Convert Improper Fractions to Mixed Numbers

​Divide numerator by denominator

​Put remainder over original denominator

​Simplify if needed

Multiple Choice

Rewrite $$\frac{22}{7}$$ as a mixed number 

• $$3\frac{1}{3}$$  

• $$7\frac{1}{3}$$  

• $$3\frac{1}{7}$$  

• $$4\frac{6}{7}$$  

Multiple Choice

Rewrite $$\frac{35}{4}$$ as a mixed number 

• $$8\frac{4}{3}$$  

• $$8\frac{3}{4}$$  

• $$6\frac{3}{4}$$  

• $$9\frac{1}{4}$$  

​Dividing with Decimals

​Move the decimals to the right.

​Divide

Multiple Choice

49.8÷0.6

• 7.5
• 8.3
• 83
• 75

Multiple Choice

Carl bought 17 packs of baseball cards at a flea​ market, at a total cost of ​$37.91. If each pack of cards cost the same​ amount, how much did each pack​ cost?

• $22.30

• $2.23

• $0.44

• $4.48

​Adding Fractions

​Check for common denominator

​Add numerator and keep denominators

Multiple Choice

Add.
4/7 + 3/5

• 7/35
• 1  6/35
• 16/35
• 40/35

Multiple Choice

Brooke had 3/5 of an apple pie and her mom had 2/7 of an apple pie.  How much apple pie do they have altogether?

• 35/35
• 5/12
• 31/35
• 1  2/35

​Subtracting Fractions

​Check for common denominator

​Subtract numerators keeping common denominator.

Multiple Choice

7/8 - 7/12

• 7/24

• 1/4

• 7/12

• 4/24

Multiple Choice

8/15  -  1/6

• 2/3
• 7/15
• 8/11
• 11/30

​Adding Mixed Numbers

​Check for common denominator

​add

​Simplify if necessary

Multiple Choice

9  1/2  +  7  1/2

• 17
• 16
• 14  1/2
• 16  1/2

Multiple Choice

4 2/5 + 3 7/10

• 7 55/50

• 7 1/10

• 8 5/50

• 8 1/10

​Subtracting Mixed Numbers

​Check for common denominator

​Subtract

​Simplify if necessary

Multiple Choice

7 5/6 - 3 1/12

• 4 1/6

• 3 11/12

• 4 9/12

• 4 3/4

Multiple Choice

     6    1/4  
-    2    3/4 

• 3     1/2
• 3    3/4
• 4    1/2
• 4      1/4