Gordon's Fraction Growing Post

I could not locate my ustream test video even tho I looked through both accounts thoroughly.

Question 1: Explain how to multiply a fraction by a whole number.

I'll use 4/5 x 3 = 12/5 or 2 2/5

Now to multiply a fraction by a whole number is simple all you do is multiply the numerator (top number) by the number you are multiplying (in this case 3) so when you see 4/5 x 3 you should think 4 x 3 = 12 then simply replace the denominator (bottom number) so you'll get 12/5. Another way is to convert the whole number into a fraction by simply placing a 1 under the whole number so 3 would become 3/1 so 4/5 x 3 becomes 4/5 x 3/1 and when multiplying two fractions you multiply the numerator by the numerator and the denominator by the denominator so you end up with

4 x 3 = 12

5 x 1 = 5

so you get 12/5 but we must convert this improper fraction to a mixed fraction so we must find out how many times 5 goes into 12 it goes into 12 2 times with a remainder of 2 so we get 2 2/5.

Question 2: Explain how to divide a fraction by a whole number.
1/4 ÷ 2 = 1/8

Begin by drawing the fraction

Next Divided the picture by the whole number

Determine your answer by counting the total number of squares

= 1/8

Question 3: Solve one word problem of your choice from the questions 6-12 on page 208 of the textbook

Mark uses 1/3 of a tank of gasoline in a five-day work week driving to work and back. On average, what fraction of a tank does he use for each round trip?

The question is essentially asking what is 1/3 ÷ 5? so I'll use the method I explained earlier

= 1/15

1/4 x 1/4 = 1/16

1 x 1 = 1

4 x 4 = 16

1/3 x 2 2/4 = 10/12

2 2/4 = 10/4

1/3 x 10/4 = 10/12

1 x 10 = 10

3 x 4 = 12

1 2/3 x 2 1/5 = 55/15

1 2/3 = 5/3

2 1/5 = 11/5

5/3 x 11/5 =55/15

5 x 11 = 55

3 x 5 = 15

1 1/2 ÷ 3/4 =

1 1/2 = 3/2

3/2 ÷ 3/4 =

So what you have to do is figure out how many times 3/4 goes into 3/2 but to do that we need to find the lowest common denominator.

1/2 = 2/4

3/2 = 6/4

And 3/4 goes into 6/4 two times

And so the answer is 1 1/2 ÷ 3/4 = 2

3/4 ÷ 1/2 =

Find the lowest common denominator

1/2 = 2/4

So the question becomes 3/4 ÷ 2/4 =

And 2/4 goes into 3/4, 1 1/2 times.

And so the answer is 3/4 ÷ 2/4 = 1 1/2

Jennifer's Fraction Growing Post :D

Hello Everyone!

There is two ways to show how to multiply a fraction by a whole number. One way is to draw a picture or just straight multiplying. Multiply the top then the bottom which gives you the answer. Or I draw a fraction strip to help me solve the answer. The picture below explains both ways. The question example I will show will be in the math textbook page 202 question 6A.

Next, I'm going to show you how to divide a fraction! The easiest way for me to divide a fraction is do draw a fraction strip. The question I am going to use for this diagram will be in the math textbook page 208, question 5D. The Diagram shows how I did it step by step to get the answer.

Next, I'll show you how I solve a word problem using fractions I'm going to use Question 12 for this :D

Part Two!

For part two, I have to show that I understand how to multiply which is very easy. I have to have a fraction multiplied by fraction, fraction multiply by mixed number. and Mixed number multiply by Mixed number.

For the second one, in order for me to solve it, I have to change the mixed number into a improper fraction. By multiplying the denominator by the whole number then add the numerator. Which gives my an improper fraction. From there, I just do the same thing as question one. If my answer turns out as a proper fraction, no need for me to change it to a mixed number.

And for the third one, It's like putting all your work together but, the only thing will be new is converting an improper fraction to a proper fraction. Which is easy, The numerator has to go in the box while the denominator has to stay outside the box. It's like doing long division. When I get a remaining, I use that for my answer.

PART THREE!

The image below represents diving fractions with mixed numbers. First of all I have to find the common denominator that matches with the number am diving once that's done, I draw a fraction strip so that would help me represent my mixed number or fraction. What is my statement is that "How many groups of 1 3/4 goes in 2/4?" Something like that I don't really need to care about the denominator at the end. I just need to keep an eye on the numerator. That will lead me to my answer :]

Thanks for reading my post!

Jomari's Fraction Growing Post

Dividing Fractions by A Whole Number:


Page 208 Question 7

Brianna's Fraction Growing Post

Hey everybody, today I will be talking about fractions. You can multiply and divide fractions by whole numbers and other fractions. In my post I'm going to show you how to do it all.

Starting with....MULTIPLYING BY WHOLE NUMBERS:



There are two ways of finding the product of a fraction. This is the first way is straight multiplying:

When you multiply 3 by 4/5, you get an improper fraction. You can't keep an improper fraction, so you have to turn it into a mixed fraction. First you have to find out how many times 5 goes into 12 which is 2, which would be the whole. Then the remainder which would be 2 would go over the five. So the resulting fraction would be 2 2/5.

The second way of multiplying a fraction is with a picture:

To find the product using pictures, first you have to make three groups of 4/5. Then you put all the shaded pieces together to get 2 2/5.

Time for Division


There is only one way to divide a fraction.





You have to divide a fraction using a pictures:

First you have to draw a rectangle and divide it into a half. Then you divide it into three pieces.

Which would give you 1/6.

Finally I'm going to show you how to multiply a fraction by a fraction.

Part 2

This is the second part to my growing post. I will be showing you how to multiply a fraction by a fraction, a fraction by a mixed number, and a mixed fraction by a mixed fraction.

1. Fraction by a fraction a fraction

Multiplying a fraction by a fraction is just straight multiplication, no tricks or conversions necessary.

2. A fraction multiplied by a mixed fraction:

When multiplying a mixed fraction by a regular fraction, you have to first convert the mixed fraction to make an improper fraction.

3. Mixed fraction multiplied by a mixed fraction:

When multiplying a mixed fraction by a mixed fraction, you must first convert them into improper fractions. To do that, first you must multiply the denominator by the whole number then add the numerator. Then when you have your improper fractions, you multiply them together to get your answer. If necessary, you simplify and if the numerator is bigger than the denominator, then you divide them to get a whole number and whatever is left over becomes, your fraction.

Part 3

This is part 3 of my scribe post...and hopefully the last. Anyways this part is going to be about dividing a fraction by a fraction, and dividing a fraction by a mixed fraction.

1. Fraction divided by a mixed fraction:

To divide a fraction by a mixed fraction:

First you have to find the common denominator. In this question the common denominator would be 4. Then you must find out how many times 3/4 goes into 1 1/2 which would be two times with a remainder of 1 third.

2. Fraction divided by a fraction:

To divide a fraction by a fraction, you have to find out how many times the fraction that is doing the dividing goes into the number that is being divided. For example 1/2 goes into 3/4 1 and an half times.

Karra's growing post

Mulitplication Fractions!

one way:

another way:

Divison Fractions!

1

- divided by 2

4

The areas of Saskatchewan,Alberta and Manitoba are approximately equal. The sum of their areas is about 1/5 of the areea of Canada. Express the area of these provinces as a fraction of the area of Canada.

1/5 divided by 3 because there are 3 provinces.

Answer :

1/15

Simple sentence answer

Each province cover approximately 1/15 of Canada

Part 2

Fraction x Fraction

Fraction x Mixed Number

Mixed Number x Mixed Number

Bruce's Fraction Growing Post

I couldn't upload my video, so here is the link for now.

http://www.ustream.tv/recorded/5683250

The next thing we had to do is show how to multiply a fraction by a fraction, a fraction by a mixed number and a mixed number by a mixed number.

Fraction x Fraction

1/2 x 1/2

1)you multiply the numarator by numarator to get the first answer.

1x1=1

2)you multiply the denominator by denominator to get the second answer.

2x2=4

so the answer is 2/4 (always simplfy)2/4=1/2.

Fraction x Mixed Number

3 x 1/2=

1)the whole number (3 ) is the number of groups.

2)the fraction (1/2) is how many in each group.

3 x 1/2=3/2(simplfy)1 1/2

Mixed Fraction x Mixed Fraction

When converting you use the denominator to decide the number of parts in 1 whole.

2 1/2 x 1 3/4=?

2/2 + 2/2 + 1/2=5/2

4/4 + 3/4=7/4

7/4 x 5/2= 35/8(simplfy) 35 divided by 8 = 4.375

4 x 8 = 32

35-32=3

so the answer is 4 3/8

Runcel's Growing Post

a) Post your recorded quiz.

b) Using one question from questions 6 or 7 on page 202 of the textbook, explain two ways to multiply a fraction by a whole number. You should use pictures to help explain!


The first way i did is to show a picture



So the answer is
21/10


c) Using one question from questions 4 or 5 on page 208 of the textbook, explain how to divide a fraction by a whole number. You should use pictures.





SO THE ANSWER IS 1/8

d) Pick one word problem from questions 6-12 on page 208 of the textbook.

The second part of our fraction growing post is to show our understanding of multiplying fractions.

Use our test to choose 3 questions.

1:Fraction*Fraction

2:Fraction * Mixed number

3:Mixed number* Mixed number

Jecelyn's Growing post

We have to find 2 ways to multiply a fraction usins a diagram or a chart.

1) 4 x 1/2













2)













Now I have to show how to divide from a whole number
It is 1/4 divided by 2 = 1/8










Now the word problem
A pitcher of orange juice is 2/3 full. If four students equally share the juice, what fraction of the full pitcher does each student get?

in order to get the answer you should do the following

1. read the question
2. find key words to help you get the answer

3. what fraction of the pitcher does each student get
4. you also need a simple sentence answer









each student will get 2/12 or 1/6 of the pitcher of juice




The video will come when we get back to school. Happy Easter everyone :D

Fractions By: Laura

Hi everybody! Happy Easter! Hope everyone had an awesome spring break!

Here is my fractions video :)
http://www.ustream.tv/recorded/5703295

Sorry...Brianna and I were very hyper that day. But we got the message across. Now let's do some more questions!

Determine the product using 2 different methods:

4 x 1/2

The simplest way to solve this (in my opinion) is to change the whole number into a fraction and then just multiply. To change any whole number into a fraction all you have to do is put 1 as your denominator.

Our new equation:

4/1 x 1/2

Now we multiply the numerators by each other, and the denominators by each other.

4 x 1 =4

1 x 2= 2

Our product is now 4/2. To simplify you divide the numerator by the denominator.

4 divided by 2=2

The final product is 2.

Another way to solve this problem is by using diagrams/pictures.

We started out by representing 4 1/2s because that is what the equation is. Then, by adding them together we get the finished product of 4/2 -or- 2.

Now that we have covered multiplication, let's move on to division!

1/4 divided by 2:

As you can see, we started with 1/4. Then, we divided the entire rectangle in two. Now, we pick one to finish the division. That gives us 1/8.

Now, let's try out what we have learned with a word problem. :)

The ares of Manitoba, Saskatchewan, and Alberta are the same. The sum of their areas is 1/5 the area of Canada. Express the area of these provinces as a fraction of the area of Canada.

In order to figure this out, we have to divide 1/5 of the area of Canada by 3 provinces. -OR- 1/5 divided by 3.

Each province is 1/15 of the area of Canada.

PART 2:

A fraction multiplied by a fraction:

You multiply the numerators to get the numerator and the denominators to get the denominator. Pretty simple.

A fraction multiplied by a mixed number:

First you have to change the mixed number into a fraction by multiplying the whole number by the denominator, then adding the numerator to that number. Then that number becomes your numerator and you keep the same denominator. Then you multiply those fractions and you get your answer.

A mixed number multiplied by a mixed number:

OK, so you already know how to change a mixed number into an improper fraction. (WN x d + n) So that's the same method you use for determining the product of a mixed number by a mixed number. You change them both into improper fractions and then multiply. Then, from there you change the improper fraction into a mixed number by dividing the numerator by the denominator and using the remainder as your fraction.

1 3/7 x 3 2/5

1 x 7 = 7

7 + 3 = 10

Improper fraction = 10/ 7

3 x 5 =15

15 + 2 = 17

Improper fraction = 17/ 5

New question:

10/7 x 17/5

10 x 17 = 170

7 x 5 = 35

PRODUCT: 170/35

170 divided by 35 = 4 6/7

PART 3:

Explain:

1 1/2 divided by 3/4

First we have to find a COMMON DENOMINATOR for each fraction. In other words, we have to find a number that 2 and 4 go into evenly, preferably the SMALLEST COMMON DENOMINATOR. The smallest common denominator of 1 1/2 and 3/4 is 4. This means that we change 1 1/2 to 1 2/4 and keep 3/4 the same. Now we divide by figuring out how many times 3/4 goes into 1 2/4.

The answer is 2.

3/4 divided by 1/2.

Again, we have to find the LOWEST COMMON DENOMINATOR, which we already know is 4. Therefore we turn 1/2 into 2/4 and leave 3/4 the same. Now our job is to find out how many times 2/4 goes into 3/4.

Our answer is 1 1/2. Our denominator changed because when we started to divide, our whole changed from quarters to halves.

~Laura Kathleen~