Fraction Operations Review

​Operations with Fractions

​Review

​Adding, Subtracting, Multiplying, Dividing

​Types of Fractions

​Change an Improper to a Proper

​Divide

​-Denominator by numerator

REMEMBER

​If you have to multiply, divide, add, or subtract a whole number by a fraction or vice versa.....

​

​Whole number is ALWAYS OVER 1

​To Add or Subtract fractions...

​You must have a common denominator

​To multiply fractions

​Multiply the numerators, and multiply the denominators

​When multiplying

​Do not forget to cross cancel when you can

​To divide fractions

​Invert (Flip) the second fraction, then multiply

​KCF

​ALWAYS ALWAYS ALWAYS

​S I M P L I F Y when you can

Multiple Choice

What is ¹/₈ + ⁵/₈?

• 1
• ⁶/₁₆ or ³/₈
• ⁶/₈ or ³/₄
• ²/₄ or ¹/₂

Multiple Choice

The top number in a fraction is called a...

• Numerator

• Denominator

Multiple Choice

Simplify the fraction:
5/15 =

• 1/3
• 5/30
• 2/3
• 1/4

Multiple Choice

Multiply these fractions and answer as a mixed number.

• 15 10 / 15
• 16 15 / 10
• 15 2 / 3
• 16 2 / 3

Multiple Choice

• $$\frac{3}{7}$$  

• $$\frac{3}{12}$$  

• $$\frac{1}{12}$$  

• $$\frac{1}{4}$$  

Multiple Choice

• $$\frac{7}{12}$$

• $$-\frac{3}{2}$$

• $$\frac{14}{24}$$

• $$\frac{10}{48}$$

Multiple Choice

• $$\frac{4}{10}$$

• $$\frac{3}{24}$$

• $$\frac{11}{12}$$

• $$\frac{1}{8}$$

Multiple Choice

• $$\frac{7}{11}$$

• $$\frac{31}{24}$$

• $$\frac{10}{24}$$

• $$1\ \frac{7}{24}$$

Multiple Choice

• 1/40
• 5  1/8
• 6  3/8
• 5/8

Multiple Choice

• 1/4
• 9/16
• 5/11
• 6/24

Multiple Choice

• 2
• 4
• 1
• 1/8

Multiple Choice

¹/₄  ÷  ²/₅

• ⁵/₈
• 2/20
• ¹/₁₀
• ³/₉

Multiple Choice

1 ¼ × 2 ¾ =

• 3 ⁷/₁₆
• 1 ¹/₂
• 2 ³/₁₆
• 4 ¹/₄

Multiple Choice

¼ × ⅚ =

• ¹/₄
• ⁶/₂₀
• ⁵/₂₄
• ³/₂₀

Multiple Choice

Convert the mixed fraction to a improper fraction.

• 22 /9
• 20/9
• 31 / 9
• 4/6

Multiple Choice

What is 9/10 - 3/4?

• 5/7
• 3/20
• 3/8 
• 9/10

Multiple Choice

• 13/15
• 1 7/12
• 1
• 9/15

FACTOR VS MULTIPLE

• What is a factor?

• What are the factors of 10?

• Are factors generally larger or smaller than the number?

• What is a GCF?

• What is a multiple?Are multiples generally larger or smaller than the number?

• What are the multiples of 10?

• What is an LCM?

Prime Factorization

• What is prime factorization?

• Find the prime factorization of 30 and 45.

• How is prime factorization helpful for finding the GCF or the LCM of numbers?

• Find the GCF of 30 and 45.

• Is the GCF larger or smaller than the numbers?

• Find the LCM of 30 and 45.

• Is the LCM greater or smaller than 30 and 45?

Least Common Multiple (LCM)

• The smallest number that is a MULTIPLE of two or more numbers.

• To find the LCM, find the prime factorization of each number using exponents.

• List all the prime factors. If a the numbers share a prime factor, use the one with the greater power.

• Find the LCM of 45 and 60.

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Least Common Denominator

• The LCM can used to find the LCD (least common denominator) of two fractions.

• Rewrite 1/9 and 1/15 using the least common denominator.

• To add, subtract, or compare fractions, you MUST have a common denominator!

• Rewrite using a common denominator: 1/2 and 2/3

• Rewrite using a common denominator: 1/2, 7/8, and 1/6

Multiple Choice

What is the least common denominator of 1/2 and 3/7?

• 2
• 14
• 7
• 28

Multiple Choice

What is a factor?

• numbers we can multiply together to get another number

• the total amount resulting from the addition of two or more numbers, amounts, or items

• the action of separating something into parts or the process of being separated

• a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero

Multiple Choice

What is a multiple?

• a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero

• the total amount resulting from the addition of two or more numbers, amounts, or items

• the result of multiplying a number by an integer (not by a fraction)

• the action of separating something into parts or the process of being separated

Fill in the Blank

What is the least common multiple of 2 and 3?

Fill in the Blank

What is the least common multiple of 9 and 4?

Fill in the Blank

What is the greatest common factor of 20, 10, and 15?

Fill in the Blank

What is the greatest common factor of 9, 18, and 6?

Fill in the Blank

What is the greatest common factor of 18, 12, and 9?

Multiple Choice

By coincidence, Farid's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint comes in 10-liter containers while blue paint is sold in containers of 5 liter. What is the smallest amount of each paint color the store must have sold?

Do you need to find the GCF or LCM?

• GCF

• LCM

Fill in the Blank

By coincidence, Farid's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint comes in 10-liter containers while blue paint is sold in containers of 5 liter. What is the smallest amount of each paint color the store must have sold?

Multiple Choice

Hugo is putting together first-aid kits. He has 32 large bandages and 48 small bandages, and he wants each kit to be identical, with no bandages left over. What is the greatest number of first-aid kits Hugo could put together?

Do you need to find the GCF or LCM?

• GCF

• LCM