Monday, 21 May 2018

Equivalent Fractions


This week we are learning about Equivalent Fractions. I enjoyed learning about this because I never knew how to do it.

Equivalent Fractions 3

Equivalent Fractions!
We are learning to add and subtract fractions with like and unlike denominators.


What is ½ of ¼? 2 x 4 = 8 ½ = 4/8 ¼ = 2/8 4/8 + 2/8 = 6/8 or ¾

What is ⅓ of ⅕? 3 x 5 = 15 ⅓ = 5/15 ⅕ = 3/15 5/15 + 3 /15 = 8/15

What is ⅕ of 150? 5 x 3 = 15 ⅕ of 15 = 3 x 10 = 30

What is ⅘ of 20? 5 x 4 = 20 16

5/12 + 4/12 = 9/12 or ¾


What is 2/6 of 36? 12

What is 5/11 of 22? 10

What is 2/13 of 26? 4

What is 4/8 the same as? ½

What is ⅖ the same as? 10/25

What is 10/30 the same as? ⅓

What is 25/50 the same as? ½



I have 2/16 of a cake at a birthday party. I am then given ⅝ of a cake. How much cake do I have altogether? 12/16

I have 5/20 of a cake left over from the party. I cut the leftover cake into quarters. What fraction is each of these pieces? ⅛








⅕ + 2/20 = 3/10 .

1/7 + ⅚ = 41/42

4/9 + 5/13 = 79/117

8/13 + 9/24 = 103/104

7/9 + 5/18 = 1 Whole 1/18

6/8 + 5/14 = 1 Whole 3/28

2/15 + 8/19 = 158/285

4/6 + 7/7 =  1 whole and 4/7


Bob has a 3/4 metre of length of wood. He cuts off 1/5 metres.
What length of wood is left?  11/20


Equivalent Fractions 2

Equivalent Fractions!
We are learning to add and subtract fractions with like and unlike denominators.


What is ½ of ¼? 2 x 4 = 8 ½ = 4/8 ¼ = 2/8 4/8 + 2/8 = 6/8 also ¾

What is ⅓ of ⅕? 3 x 5 = 15 ⅓ = 5/15 ⅕ = 3/15 5/15 + 3/15 = 8/15 8/15

What is ½ of 50? 25

What is ⅕ of 150? 30

What is ⅓ of 30? 10

What is ⅘ of 20? 16

½ + ½ = 1 Whole

5/12 + 4/12 = ¾

What is ½ the same as? 2/4 or 4/8 or 8/16 or 16/32

What is ⅕ the same as? 4/20

What is ⅓ the same as? 2/6

What is ¼ the same as? 2/8

½ + 1/8 =  ⅝

⅓ + 1/12 = 5/12

¼ + ⅝ = ⅞

¼ + 3/16 = 7/16

⅕ + 1/30 = 7/30


Levi has ¾ of a bag of lollies. If he is given another 3/12 of a bag, what fraction of a bag will he have?  1 Whole

If there were 32 lollies in the whole bag, how many lollies does Levi have? 1 Whole


Bob has a 3/4 metre of length of wood. He cuts off 1/5 metres.
What length of wood is left? 11/20


Equivalent Fractions

Equivalent Fractions!
We are learning to add and subtract fractions with like and unlike denominators.


What is ½ of ¼? 2 x 4 =  8 ¼ = 2/8 ½ = 4/8 2/8 + 4/8 = 6/8

What is ⅓ of ⅕? 3 x 5 = 15  ⅓ = 5/15 ⅕ = 3/15 5/15 + 3/15 = 8/15

What is ½ of 20? 10

What is ⅕ of 20? 4

What is ⅓ of 30? 10

What is ⅘ of 20? 16

½ + ½ = 1 whole

5/12 + 4/12 = ¾

½ + ¼ = ¾

⅓ + ⅙ = ½

¼ + ⅛ = ⅜

¼ + ⅝ = ⅞

¼ + 3/16 = 7/16

⅕ + 1/30 = 7/30

Levi has ¾ of a bag of lollies. If he is given another 3/12 of a bag, what fraction of a bag will he have?  1 Whole

If there were 32 lollies in the whole bag, how many lollies does Levi have? 32


Bob has a 3/4 metre of length of wood. He cuts off 1/3 metres.
What length of wood is left?  5/12


Fraser


This week we had to tell how different Fraser was to Tupai, from our books.

Friday, 18 May 2018

Fresh Fractions 3

            Fresh Fractions
We are learning to add and subtract fractions with different denominators
We are learning to find equivalent fractions and improper fractions

Show your working to some of these

What is 1/4 of 20?  5/20

What is ¼ of 8? 2/8

What is ⅓ of 6? 2/6

What is 2/6 of 12? 4/12

What is ¼ of 20? 5/20

What is 1/10 of 20 ? 2/20

What is ⅔ of 30? 20/30

What is ⅕ of 25? 5/25

What is ½ of ⅓ ? ⅚

What is ⅓ of ⅓ ? ⅔



What is 4/8 the same as? ½

What is ⅖ the same as? 10/25

What is 10/30 the same as? ⅓

What is 25/50 the same as? ½

What is 25/25 the same as? 1 whole


I have 2/16 of a cake at a birthday party. I am then given ⅝ of a cake. How much cake do I have altogether? ¾











10/17 + 10/17 =    1 whole 3/17

20/25 + 17/25 =    1 whole 12/25




½ + 3/4 = 1 Whole ¼

2/6 + ⅔ =  1 whole

⅕ + 2/10 = 2/5

2/6 + 4/12 = ⅔

2/5 + 3/15 = ⅗

1/9 + 1/18 = 5/18

1/7 + ⅚ = 41/42

4/9 + 5/13 = 79/117

9/13 + 9/26 = 1 Whole 1/26

6/9 + 4/18 = 8/9

5/8 + 6/14 = 1 Whole 3/56

3/15 + 8/19 = 43/57

5/6 + 1/7 = 41/42

Fresh Fractions 1

            Fresh Fractions
We are learning to find fractions of a whole and of a set.
We are learning to add and subtract fractions


What is 1/4 of 4?  1

What is ¼ of 8? 2

What is ⅓ of 6? 2

What is 2/6 of 12? 4

What is ¼ of 20? 5

What is 1/10 of 20 ? 2

What is ⅔ of 30? 20

What is ⅕ of 25? 5


5 of my friends are sharing a large chocolate bar. What fraction of the bar would they get each? 1//5

4 of us are sharing a chocolate cake. What do we cut it up into? 1/4

12 of us are sharing a chocolate cake. What do we cut it up into? 1/12

I have 5/16 of a cake at a birthday party. I keep going back for more and eat another  6/16 of a cake. What fraction of a cake have I eaten altogether? 14/16

I have 10/21 of a cake left over from the party. Then I give 6/21 of a cake to my sisters. What fraction of a cake do I have left over? 5/21


⅓ + ⅔ = 1 hole

¾ + ¾ = 1 hole and ½

⅕ + ⅗ = ⅘

⅘ - ⅗ = 1 hole and ⅖

5/10 - 1/10 = 4/10

55/60 - 40/60 = 15/50

12/20 + 17/20 = 1 hole and 9/20


Have a go at these!

½ + ¾  = 1 hole and ¼

2/6 + ⅔ = 1 hole

⅕ + 2/10 = ⅖

2/6 + 4/12 = ⅔

2/5 + 3/15 = ⅗

1/9 + 1/18 = 3/18

2/9 + 4/18 = 4/9