Judy's First Growing Post

3) Which is Larger 1/2 + 1/6 or 1/4 + 7/12 ???


Using Clocks



-We find out 1/2 is 30 minutes because 60(min) divided by 2 is 30.
-Then 1/6 of 60 (min) is 60/6=10 minutes
-We can divide 60 by both 6 and 2 to get 1/6 and 1/2 because they're unit fractions
-now add 30+10=40
-1/2+1/6=40/60



since 1/4 is a unit fraction,all we have to do is divide 60(min) by 4 and the answer will = 1/4
60/4=15
-to find 7/12, we could do it two ways.
first, we could divide 60 by 12=5, then 5x7 because it's 7/12 not 1/12. 5x7=35
OR because there are 12 numbers on a clock, and each # =5 minutes,we go to the #7 and then 7x5=35
-Now add 15+35=50
-1/4+7/12=50/60
1/2+1/6 <>

4& 5) Judy And Nikki's Bike race

Two Things About Our Bikerace
-instead of putting a marker on every 12th of the course, we put it on every 12 km... the same with all the other markers.
-we used multiples of the number between 1-60 to find out where to put each colour









6) http://www.jamit.com.au/welcome.html

This site is a great site to learn fractions with because it teaches you different kinds of fractions like improper, equivalent etc. through many lessons. For each different lesson, it gives you a game to practice your skills, and at the very end, there's a test to find out what you've learned. So this site is a fun yet educational way to learn about fractions.

7) Find 1/12 , 1/6, or 1/3 of the 60 km bike race

For an example, if you're looking for every 3rd of the course, you have to divide 60 by 3=20 so every 20th km, is a marking for 1/3 of the course.

The km marked 1/3 are:

20
40
60
I notice that the numbers are increasing by 20 and they are consecutive numbers on the 20 times table like 20x1=20, 20x2=40, 20x3=60. The same patterns are for every 1/12 and 1/6 as well.... just with different numbers.

8) 2 different ways to find 1/4 and 3/4 of a 16

1/4:
-to find 1/4 of 16, you could divide it by 4, and the quotient would be 1/4 of 16. Dividing 16 by 4 to find 1/4 only works because 1/4 is a unit fraction. So 16/4=4

-Since 1/4 is 1/2 of 1/2, first divide 16 by 2, then the answer by 2 again: 16/2=8 8/2=4

4 is 1/4 of 16

3/4:

-first find 1/4 of 16, 16/4= 4 then multiply 4 by 3 because 4 is only 1/4 of 16, and we need 3/4. 4x3=12

-first find 2/4 of 16 which is the same as 1/2. To do that, divide 16 by 2. 16/2=8.

Now divide 8 by 2 to get 1/4. 8/2=4

Now add that 2/4 and 1/4 together to get 3/4. 8+4=12

12 is 3/4 of 16

9) 8/24 or 2/9 which is larger?

-when you first look at it, you'd think 2/9 is larger because the numerator, 2 is only 7 away for the denominater, 9, while for 8/24, 8 is 16 away from 24.

-but if you turn 8/24 to its simplest form, 1/3, then draw the two fractions, 2/9 and 1/3 then compare them:

Then you can see that 8/24, or 1/3 is larger than 2/9.

8/24 is larger.