Fractions

Fractions!!!!

​Adding and Subtracting Fractions

1. ​Check to see if the fractions have the same denominator.

2. If they don't have the same denominator, then convert them to equivalent fractions with the same denominator.

3. Once they have the same denominator, add or subtract the numbers in the numerator.

4. Write your answer with the new numerator over the denominator.

​Finding the Common Denominator

​Multiply top and bottom of each fraction by the denominator of the other.

Multiple Choice

What must you have to add and subtract fractions?

• Common numerators
• Different numerators
• Different denominators
• Common denominators

Multiple Choice

What is the difference of 7/8 - 1/3?

• 6/5
• 8/11
• 6/8
• 13/24

Multiple Choice

13/15 - 3/4

• 10/9
• 39/60
• 7/60
• 97/60

Multiple Choice

What is the difference of these fractions in lowest terms?

• 7/9
• 1/5
• 12/20
• 1/20

​Improper Fraction to Mixed Number

1. ​Divide the numerator by the denominator.

2. Write down the whole number answer

3. Then write down any remainder above the denominator.

​Mixed Numbers to Improper Fractions

1. Multiply the whole number part by the fraction's denominator.

2. Add that to the numerator

3. Then write the result on top of the denominator.

Multiple Choice

7/2= what as a mixed number?

• 3  1/2
• 4  3/2
• 4  1/2
• 2  3/2

Multiple Choice

Convert the mixed fraction to a improper fraction.

• 27 /7
• 21 /7
• 31 /7
• 41/7

Multiple Choice

8/5= what as a mixed number?

• 1  2/5
• 1  4/5
• 1  1/5
• 1  3/5

Multiple Choice

32/10=what as a mixed number?

• 3  2/10
• 2  2/10
• 3/10
• 3  1/10

Multiple Choice

Convert the mixed fraction to a improper fraction.

• 22 /9
• 20/9
• 31 / 9
• 4/6

​Adding and Subtracting Mixed Numbers

• ​convert them to Improper Fractions

• then add them (using Addition of Fractions)

• then convert back to Mixed Fractions

Multiple Choice

$$2\frac{9}{10}\ +6\ \frac{1}{3}=$$  

• $$9\ \frac{7}{30}$$  

• $$5\ \frac{4}{9}$$  

• $$6\ \frac{1}{4}$$

• $$4\ \frac{1}{2}$$  

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

$$6\ \frac{2}{3}+\left(-4\ \frac{1}{2}\right)=$$   Reduce if needed.

• $$11\ \frac{7}{6}$$  

• $$10\ \frac{1}{6}$$  

• $$2\ \frac{1}{6}$$  

• $$9\ \frac{3}{4}$$  

​Multiplying Fractions

​1. Multiply the top numbers (the numerators).

2. Multiply the bottom numbers (the denominators).

3. Simplify the fraction if needed.

​

​*If there are mixed numbers convert them to improper fractions first!

Multiple Choice

When multiplying fractions you do what?

• KCF
• Find the least common denominator
• Multiply all of the numbers together
• Multiply top times top and bottom times bottom

Multiple Choice

• ³/₆

• ³/₈

• ⁴/₈

• ⁴/₆

Multiple Choice

• ⁴/₉

• ³/₉

• ³/₂₀

• ⁴/₂₀

Multiple Choice

• 2  2/11
• 8/33
• 1  10/11
• 2/8

Multiple Choice

Multiply.

• 23/3
• 5 3/12
• 7⅔
• 92/12

Multiple Choice

• 17/8

• 20/8

• 40/8

• 35/8

​Dividing Fractions

​

Step 1. Turn the second fraction Step 2. Multiply the first fraction by that reciprocal Step 3. Simplify the fraction (if needed) *Remember if it is a mixed number change it to an improper fractions

Multiple Choice

What is the recriprocal of 4/5

• 4/5
• 5/4
• 5/1
• 1/5

Multiple Choice

3/4 divided by 2/3

• 6/12
• 1/2
• 6/6 or 1
• 9/8 or 1 1/8

Multiple Choice

36 divided by 3/4

• 36
• 10
• 48
• 13 1/3

​LET'S TRY SOME EQUATIONS!!!

Multiple Choice

Simplify   $$\frac{\left(\frac{3}{5}\right)}{2}$$  

• $$\frac{6}{5}$$  

• $$\frac{3}{7}$$  

• $$\frac{3}{10}$$  

• $$\frac{3}{5}$$  

Multiple Choice

• $$\frac{4}{45}$$

• $$\frac{2}{15}$$

• $$\frac{28}{45}$$

• $$\frac{45}{45}$$

Hope This Helps!!!!​