Review Fractions with ALL Operations

Review Fractions with ALL Operations

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by Karen Martin

​Adding/Subtracting Fractions

​Fractions that have the same denominator (bottom number) can be added or subtracted by adding/subtracting the numerators (top numbers)

​If the fractions have unlike denominators (different bottom number) they need to be changed into a common denominator

• ​Change the denominator (bottom) by multiplying. 

• ​Multiply the numerator (top) by the SAME number to make an ​equivalent  fraction.

• Now add or subtract the numerators (top)

​Add mixed numbers:

Multiple Choice

Add the mixed numbers. Remember to change to common denominators first. Show your work on your paper or whiteboard.

• $$8\ \frac{3}{7}$$  

• $$8\ \frac{11}{12}$$  

• $$8\ \frac{11}{24}$$  

• $$4\ \frac{5}{12}$$  

Multiple Choice

Add the mixed numbers. Remember to change to common denominators first. Show your work on your paper or whiteboard.

• $$2\ \frac{1}{18}$$  

• $$18\ \frac{11}{18}$$  

• $$19\ \frac{11}{18}$$  

• $$18\ \frac{87}{54}$$  

​Subtract mixed numbers:

• ​Make equivalent fractions with common denominators.

• ​Regroup if necessary.

• ​Subtract.

• ​Simplify if possible.

Multiple Choice

Subtract the mixed number. Regroup the whole number choosing the same size denominator. Show your work on your paper or whiteboard.

• $$2\ \frac{4}{7}$$  

• $$3\ \frac{3}{7}$$  

• $$15\ \frac{3}{7}$$  

• $$3\ \frac{4}{7}$$  

Multiple Choice

Subtract the mixed number. Change to equivalent fractions with the same denominator and regroup the whole number.  Show your work on your paper or whiteboard.

• $$8\ \frac{7}{18}$$  

• $$9\ \frac{34}{48}$$  

• $$9\ \frac{17}{24}$$  

• $$8\ \frac{7}{24}$$  

​Multiply Fractions

• Simplify by looking for common factors (buddies)

• Multiply straight across

• ​Simplify your answer

Multiple Choice

Multiply, but simplify by looking for "buddies" first.

• $$\frac{18}{30}$$  

• $$\frac{3}{5}$$  

• $$\frac{29}{30}$$  

Multiple Choice

Multiply, but simplify by looking for "buddies" first.

SIMPLIFY!

• $$\frac{1}{2}$$  

• $$\frac{3}{6}$$  

• $$\frac{18}{30}$$  

​Multiply Mixed Numbers

• ​Change Mixed Numbers to improper fractions (MULTIPLY and ADD)

• Simplify by looking for common factors (buddies)

• Multiply straight across

• ​Simplify your answer

Multiple Choice

Multiply, but first change to improper.

Multiply and Add!

• $$4\ \frac{1}{3}$$  

• $$6\frac{1}{3}$$  

• $$6\ \frac{1}{2}$$  

• $$6\ \frac{1}{18}$$  

Multiple Choice

Multiply, but first change to improper.

Multiply and Add!

• $$8\ \frac{5}{12}$$  

• $$\frac{2}{3}$$  

• $$6\ \frac{1}{6}$$  

• $$8\ \frac{2}{3}$$  

Divide Fractions

• ​Write any whole numbers like fractions with a 1 on the bottom.

• Keep. Change. Flip.

• Simplify by looking for common factors (buddies)

• Multiply straight across

• ​Simplify your answer

Multiple Choice

Divide. 

Keep.  Change.  Flip.

Simplify

$$4\ \div\frac{2}{5}$$  

• 10

• $$\frac{1}{10}$$  

• $$\frac{20}{2}$$  

• $$1\frac{3}{5}$$  

Multiple Choice

Divide. 

Keep.  Change.  Flip.

Simplify

• 18

• $$\frac{1}{18}$$  

• $$\frac{32}{9}$$  

• $$\frac{72}{4}$$  

Multiple Choice

Divide. 

Keep.  Change.  Flip.

Simplify

• $$\frac{45}{16}$$  

• $$\frac{16}{45}$$  

• $$\frac{5}{9}$$  

• $$1\ \frac{4}{5}$$  

Multiple Choice

Divide. 

Keep.  Change.  Flip.

Simplify

• $$\frac{3}{4}$$  

• $$1\frac{1}{3}$$  

• $$\frac{15}{20}$$  

• $$8\ \frac{1}{3}$$  

​Divide Mixed Numbers

• ​Change Mixed Numbers to improper fractions (MULTIPLY and ADD)

• ​Keep. Change. Flip.

• Simplify by looking for common factors (buddies)

• Multiply straight across

• ​Simplify your answer

Multiple Choice

Change to improper

Keep.  Change.  Flip.

Simplify

• $$6\frac{3}{4}$$  

• $$4\frac{1}{3}$$  

• $$16\frac{2}{3}$$  

• $$4\ \frac{1}{6}$$  

Multiple Choice

Change to improper

Keep.  Change.  Flip.

Simplify

• $$\frac{2}{3}$$  

• $$1\frac{1}{2}$$  

• $$\frac{3}{5}$$  

• $$1\ \frac{2}{3}$$  

​Fraction Word Problems:  "of" means multiply

Multiple Choice

• 1/3 of the cake

• 3/4 of the cake

• 2/6 of the cake

• the whole cake

​Fraction Word Problems: When you are splitting something into many equal pieces, you are DIVIDING.

Multiple Choice

• 1/30 of a pillow

• 10 pillows

• 16 pillows

• I don't have enough infomation.

Go through this lesson as many times as you need so you feel confident.

Good luck on the test!

​* Always simplify *