For more information, please see full course syllabus of Basic Math

For more information, please see full course syllabus of Basic Math

### Fraction Concepts and Simplest Form

#### Related Links

- Fraction: A part of the whole
- Simplest Form: A fraction whose numerator’s and denominator’s only common factor is 1.

### Fraction Concepts and Simplest Form

**4**)/(

**16**)]

**1**)/(

**4**)]

**3**)/(

**12**)]

**1**)/(

**4**)]

**12**)/(

**24**)]

**1**)/(

**2**)]

**6**)/(

**36**)]

**1**)/(

**6**)]

**15**)/(

**27**)]

**5**)/(

**9**)]

- [(16 ÷4)/(32 ÷4)] = [4/8]
- [(4 ÷4)/(8 ÷4)] = [1/2]

**1**)/(

**2**)]

- [(27 ÷3)/(33 ÷3)] = [9/11]

**9**)/(

**11**)]

- [(25 ÷5)/(50 ÷5)] = [5/10]
- [(5 ÷5)/(10 ÷5)] = [1/2]

**1**)/(

**2**)]

- [(16 ÷4)/(36 ÷4)] = [4/9]

**4**)/(

**9**)]

- [(42 ÷7)/(84 ÷7)] = [6/12]
- [(6 ÷6)/(12 ÷6)] = [1/2]

**1**)/(

**2**)]

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

### Fraction Concepts and Simplest Form

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Fraction Concept 0:10
- Example: Birthday Cake
- Example: Chocolate Bar
- Simples Form 3:38
- Example: Simplifying 4 out of 8
- Extra Example 1: Graphically Show 4 out of 10 4:41
- Extra Example 2: Finding Fraction Shown by Illustration 5:10
- Extra Example 3: Simplest Form of 5 over 25 7:02
- Extra Example 4: Simplest Form of 14 over 49 8:30

### Basic Math Online Course

### Transcription: Fraction Concepts and Simplest Form

*Welcome back to Educator.com.*0000

*This lesson is going to go over some concepts of fractions and how to simplify them.*0002

*When we have a fraction, we are representing it as a part.*0013

*If we have something that is whole, we are going to take parts of it, break it up into parts.*0020

*That is how we write fractions.*0026

*Let's pretend it is your birthday; this is your cake.*0030

*We are obviously going to have to cut the cake.*0037

*Since it is your birthday, you would probably want the biggest piece.*0040

*If we take this cake, let's say we are going to cut it up into 4 equal pieces.*0045

*If you get 1 piece of this cake, you are getting 1 piece out of how many total pieces?*0055

*1, 2, 3, 4; you will be getting 1/4 of your cake.*0067

*Let's say I cut the cake up into smaller pieces.*0076

*Here if you take 1 piece of your cake,*0091

*then you are going to take 1 out of 2, 3, 4, 5, 6, 7, 8.*0099

*Out of 8 total slices, you are getting 1.*0107

*Let's say you want more cake; you ate 3.*0114

*I can write this as 3 out of 8.*0122

*Look at this one right here; pretend that this is a chocolate bar.*0131

*Your chocolate bar, you are going to break it up into pieces.*0137

*We can break up the chocolate bar into 8 pieces.*0139

*If you eat 1 little piece, you are eating 1 out of 1, 2, 3, 4, 5, 6, 7, 8 pieces.*0145

*Let's say you eat another one; that is 2 out of 8 pieces.*0159

*I can also write this in a different way.*0169

*If the chocolate bar is broken up into 4 pieces, you break it up into 4 pieces,*0182

*then this right here that you ate is going to be the same thing as 1 out of 4 pieces.*0188

*If you look at this, 1, 2 out of 8 that you ate here*0200

*is going to be the same as 1 out of 4.*0207

*That is when we are going to learn how to simply these fractions.*0220

*Here we have 8 pieces.*0226

*4 out of 8 would be 1, 2, 3, and 4.*0230

*This is 4 out of 8.*0244

*Instead of having 8 pieces, I am only going to have 4.*0251

*In this case, having 4 out of 8 would be the same thing as 2 out of 4*0265

*because I have 4 pieces and I ate 2 out of those 4.*0274

*If I wanted to show 4 out of 10, I need to have something... I can have a circle.*0284

*Or I can have something rectangular like the chocolate bar.*0291

*I need to 10 equal pieces; I can do this.*0300

*Let's say these were 10 equal pieces.*0318

*To show 4 out of 10... that would be 4 out of 10.*0321

*How can you represent this in a different way?*0337

*Instead of breaking this up into 10 pieces, let's say you broke it up into 5 pieces.*0341

*In that case, if it was 5 pieces, this would be 1.*0346

*This would be 2, 3, 4, and 5.*0351

*4 out of 10 could be the same as 2 out of 5.*0357

*This one, we have 6 pieces; 6 pieces.*0374

*If I do this, this would be 1 out of 6.*0381

*If I take this piece, then that would be 2 out of 6.*0389

*Maybe if I ate this piece, then that would be 3 out of 6.*0397

*If you think about it, if I have 6 pieces and I ate 3 of them, I ate 1/2.*0408

*I ate half of this chocolate bar.*0418

*Let's say I don't have a picture; I don't have a chocolate bar.*0425

*I just have a fraction, 5 over 25.*0427

*How can I write this in simplest form?*0430

*In this case, I can take a common factor, a number that multiplies into 5 and 25.*0437

*I can divide both numbers by that number.*0447

*5 and 25; I know that 5 goes into 5 and 5 goes into 25.*0452

*That means I can divide this number by 5 and divide this number by 5.*0458

*They have to be divided by the same number.*0469

*Or else you are not going to get the right answer.*0471

*5 divided by 5 is 1; 25 divided by 5 is 5.*0475

*Let's look at this fraction again, 1 and 5.*0484

*We have to make sure that they have no common factors besides 1.*0488

*For 1 and 5, that is the only common factor they have.*0494

*That means we are done; this is the answer.*0497

*The simplest form of 5 over 25 would be 1 over 5.*0501

*To find the simplest form of 14 over 49, we are going to look for a common factor.*0514

*Meaning we are going to look for a number amongst 14 and 49*0525

*that can be multiplied to get 14 and it can be multiplied to get 49.*0532

*A common factor between these two numbers would be 7.*0539

*In order to get the simplest form, I can take this fraction,*0544

*divide the top number and the bottom number by that common factor.*0548

*Again they have to be the same number.*0557

*You have to divide both numbers by that same number.*0560

*14 divided by 7 is 2; 49 divided by 7 is 7.*0566

*I look at these two numbers now.*0576

*I want to see if there is a common factor between 2 and 7.*0579

*The only common factor is 1; that means I am done.*0584

*The simplest form of 14 over 49 would be 2 over 7.*0590

*That is it for this lesson; thank you for watching Educator.com.*0599

0 answers

Post by Ana Chu on July 7, 2015

I'm sorry but don't you want the biggest cake piece, not slice it in equal four pieces?

0 answers

Post by Ana Chu on February 3, 2014

you teach really good!

1 answer

Last reply by: Professor Pyo

Thu Jan 2, 2014 5:14 PM

Post by Daniel Naftaliev on January 2, 2014

Hello, I have a question about the practice questions.

So the first question is "Q. Find the LCM of 14 and 21"

I know that I can divide both by 7 which would give me

2 over 3 but the answer says it is 42. So my question is how come the answer is 48 and not 2 over 3?

0 answers

Post by Carol Choi on September 21, 2013

its ok i got it thanks

1 answer

Last reply by: xiaolin hu

Mon May 5, 2014 1:32 AM

Post by Carol Choi on September 20, 2013

hey mary

can you help me with this thanks

a bottle is 1/4 full of cordial. if 500 ml of cordial is added to it the bottle is 2/ 3 full. how many mililitres does the bottle hold when full.

0 answers

Post by saqib pz on November 17, 2012

You are a very good teacher :)

1 answer

Last reply by: Professor Pyo

Sat Mar 2, 2013 1:05 AM

Post by Laura Weiderhaft on November 15, 2012

Wouldn't the simplest form of 4/8 just be 1/2?

1 answer

Last reply by: Mary Pyo

Sat Feb 4, 2012 12:33 AM

Post by Miguel Suarez on December 23, 2011

I think the videos are great, but they should have online practice test for each sections. please consider this request.

1 answer

Last reply by: Mary Pyo

Sat Feb 4, 2012 12:28 AM

Post by Lucy Sams on December 22, 2011

Good

You will learn so much about fractions.She is a great teacher with this kind of subject even though she does it a different way then other people would do it.No mater she does it different or what she is a great teacher and you will love her.She so good at math that my daughter goes to her every day.