Please leave comments on the following things.

Choose slide 1 or 2 and describe how you decided which was greater.

On slide 3 explain what the pattern is and how many subs need to be ordered for 11 people?

On slide 4 please show an example of what 4 goes into 9 is and is NOT.

Thanks for commenting.

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## 6 comments:

1/4+2/4 > 1/6+3/6

if you reduce both 2/4 and 3/6, they both =1/2 so now we only have to compare 1/4 and 1/6. Becuase they're unit fractions, we need to compare the denominators. Since the smaller the denominator, the larger the piece, 1/4 > 1/6. So if you add the larger piece, 1/4 to 1/2 (2/4), the answer's going to be larger than if you add the smaller piece, 1/6 to 1/2 (3/6).

For every person, there's 3/4 of a sub so if there are 2 people, it's 3/4+3/4 for the # of people.

If you continue adding 3/4 for the # people, this chart will form:

people......subs

1...........3/4

2...........1 1/2

3...........2 1/4

4...........3

5...........3 3/4

6...........4 1/2

7...........5 1/4

8...........6

so far, both 4 & 8 people have a whole # of subs.They're both divisable by 4, and that's the denominator of 3/4. Also, the # of subs for 4 people is 3. 3 is 3/4 of 4. The same thing happened with 8 people. 6 is 3/4 of 8.

so to find the # of subs needed for 11 people, i'm first going to find the closes # of people that are divisable by 4 that is less than 11. That number of people is 8. 3/4 of 8 is 6 then add 3/4 to 6 and keep adding until i get to 11 people:

people......subs

9...........6 3/4

10..........7 1/2

11..........8 1/4

8 3/4 sub is needed for 11 people.

4 goes into 9 means 9 divided by 4.

If you make the *house* then the 9 would be in the inside, while the 4 is on the outside.4 goes into 9=2.25

4 goes into 9 doesn't mean 4 divided by 9 with 9 on the outside and 4 in the inside of the house.That would=0.44444 etc.So there's a big difference between 4 goes into 9 and 9 goes into 4.

5/12+1/12 > 1/3+1/12

We need to convert the 1/3 into a common denominator.Then you compare the fractions since both have the same denominator.

5/12+1/12 > (1/3+1/12 = 4/12+1/12)

Every person gets 3/4 of a sub. Every 10 people there are 30 subs. If there are 2 people you are adding 3/4's and 3/4's which = 6/4 or 1 1/2. Then you keep adding 3/4's for every person.

Therefore 4/9 is smaller than 9/4 because if we break it down to common denominators we get 16/36 < 81/36.

1/4 +2/4 or 1/6 + 3/6---Which is larger

1/4 + 2/4 is larger because when you change it into time 1/+4 + 2/4 = 45 minutes, and 1/6 + 3/6= 40 minutes. It equals to that because 1/4 = 15 minutes when you change it into time. To do that you have to go 60 / 4 = 15, and then 2/4 turns into 30 minutes because 60 / 4 = 15......then you multiply by two then it equals 30 min. When you add this all together it would equal to 45 minutes, or 45/60, 9/12, and 3/4.

You do the same thing with 1/6 + 3/6. 1/6 would equal 10 mins because 10 / 6 = 10 or 10 minutes. Then 3/6 would be 30 minutes because 60 / 6 = 10 then you multiply by 3 witch equals 30. When you add this all together it equals to 40 min or 40/60,4/6, or 2/3.

Each person gets 3/4 or a sub. So if there is only on person he/she would get 3/4. If there was two he/she would get 1 1/2...... then it goes on and on.

1-------3/4

2-------1 1/2

3-------2 1/4

4------- 3

5-------3 1/4

Etc.......

I think 4/9 is not the same thing as 9/4 because when you divided them 4/9 becomes 0.444 etc and 9/4 becomes 2.25. The answer is totally different.

Oh and I forgot to say that / means to divide!!! so then you might see 60 / 4 = 15-- this (/) means to divide!!

1/4+2/4 > 1/6+3/6

if you change them to decimals

1/4= 0.25

2/4= 0.5 Both added together =0.75

1/6= 0.166666

3/6= 0.5 Both added together =0.6 reapeted

if everyone gets 3/4

1 person 3/4 of sub

you multiply number of subs to number of people and will equal the amount

4/9 and 9/4 are not the same because if you divide the numerator they equal diffrent answers

1/4+2/4 or 1/6+3/6

1/4 + 2/4 is larger than 1/6+3/6

because if u divide a a clock

1/4= 15 mins and 2/4= 30 mins

so if you add them together it equals 45/60

1/6 = 10 mins and 3/6= 30mins

so if you add those together it equals 40/60...the denominator is 60 because the clock has 60 mins..

So, 1/4+2/4 is larger than 1/6+3/6 :)

SUBS..

the first person gets 3/4 of a sub so..

the next person gets 6/4

I will make a chart..so its easier to read

People Subs

1 3/4

2 6/4

3 9/4

4 12/4

5 15/4

6 18/4

7 21/4

8 24/4

9 27/4

10 30/4

The pattern i see is

that the denominator stays the same.

and the numerator increases

by 3

And For the 11th person needs

33/4 subs or 8 1/4 subs...

4 goes into 9 is the same as 9 divided by 4(9/4).

4 goes into 9 not the same as 4 divided by 9(4/9).

:))

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