Fraction Operations Review

Presentation

•

Mathematics

•

5th Grade

•

Medium

•

CCSS

5.NF.B.6, 7.NS.A.1C, 4.NF.B.4B

+10

Standards-aligned

Nicole Gubbins

Used 7+ times

FREE Resource

14 Slides • 28 Questions

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?

⁶/₁₆or ³/₈

⁶/₈or ³/₄

²/₄or 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

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

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.
null

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?

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 Blanks

What is the least common multiple of 2 and 3?

Type answer...

Fill in the Blanks

What is the least common multiple of 9 and 4?

Type answer...

Fill in the Blanks

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

Type answer...

Fill in the Blanks

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

Type answer...

Fill in the Blanks

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

Type answer...

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 Blanks

Type answer...

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

Operations with Fractions

Review

Adding, Subtracting, Multiplying, Dividing

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