# Thursday 7th May: Year 5 – Decimals as Fractions (2)

Today we will be extending our learning about fractions as decimals! What you need to know is that you can convert fractions to decimals AND decimals back into fractions.

As you can see below in the place value chart, if your decimal has a digit in the ‘tenths’ column the fraction will be /10. (Random Example: 0.4 as a fraction will be 4/10 because the digit ‘4’ is in the tenths column).

If your decimal has a digit in the ‘hundredths’ column the fraction will be /100. (Random Example: 0.03 as a fraction will be 3/100 because the digit ‘3’ would appear in the hundredths column).

Finally, if your decimal has a digit in the ‘thousandths’ column the fraction will be /1000. (Random Example: 0.006 as a fraction would be 6/1000 because the digit ‘6’ would appear in the thousandths column).

Watch the video below, which will help to explain the above further.

Now, watch the home learning video and after, scroll down and answer the questions!

If you need to, use this hundred square below as a resource to help you answer the questions.

(For question 1, state how many squares you will need to colour in: e.g. “For 5/100 I will need to shade in 5 squares to show 0.05”)

Challenges:

## 85 thoughts on “Thursday 7th May: Year 5 – Decimals as Fractions (2)”

1. Yibo H.

1. 2/100 = I would have coloured in 2 boxes.
b. 2/10 = I would have coloured in 20 boxes.
c. 20/100 = I would have coloured in 20 boxes.
d. 90/100 = I would have coloured in 90 boxes.

2. 40/100 or 4/10 or 0.4

3. ?

4. 2.15 = 2 100 coloured boxes and a 15 coloured box.
b. 3 7/10 = 3 100 coloured boxes and a 70 coloured box.

5. 1.3 1.6 1.85 1.98
b. 5 1/10 5 1/2 5 75/100 590/100

6. ?

7. 32.6 = 3 8/10
b. 2.03 = 2 3/100
c. 13.08 = 13 8/100
d. 3.98 = 3 98/100

8. 54.03 45.03 43.05 35.04 53.04 34.05

• Aboubakar Y.

A.) You would have to colour in 2 of the 100 boxes.
B.) You would have to colour in 2 of the 10 boxes.
C.)You would have to colour in 20 of the 100 boxes.
D.)You would have to colour in 90 of the 100 boxes.

2.) 40/ 100 4/10 .

3.)1 23/100 = 1.23
2 55/100 = 2.55

4.) 2.15 would be represented as 2 100 squares shaded in and then 15 squares shaded on the last one.

3 wholes and 7/10 would be 3 shaded in and then 7 shaded in on the last one.

7.)

A.) 32 6/10
B.) 2 3/100
C.) 13 8/100
D.) 3 98 /100

2. Fatima G.

I have done it

3. Aman M.

4. Aamir K.

I have done all the questions.

5. Zavian K.

Mr janjua I’m available

6. Zavian K.

I’m struggling

• Mr Janjua

Hi Zavian, do not worry I will call you today to discuss the Maths. Have a look at the start of the decimals unit and I will be able to support you. Go back to the videos from the start of the week :)

7. Hishaam

1) I have done this in my homework book.

2) 40/100 = 4/10 = 0.4
3) I’ve done it in my homework book.
a) 1 23/100 = 1.23
b) 2 55/100 = 2.55
c) 2 7/10 = 2.7

4) I’ve done it in my homework book.

5) I’ve done it in my homework book.

6)
Decimal = 2.13, decimal expand form = 2+0.1+0.03, fraction = 2 13/100, fraction expanded form = 2+1/10+3/100, in words = 2 ones 1 tenth and 3 hundredth.

Decimal = 4.37, decimal expand form = 4+0.3+0.07, fraction = 4 37/100, fraction expanded form = 4+ 3/10+7/100, in words = 4 ones 3 tenths and 7 hundredths.

Decimal = 5.62, decimal expand form = 5+0.6+ 0.02, fraction = 5 62/100, fraction expanded form = 5+6/10+2/100, in words = 5 ones 6 tenth and 2 hundredths.

Decimal = 8.2, decimal expand form = 8+0.0+0.02, fraction = 8 2/100, fraction expanded form = 8+0/10+2/100, in words 8 ones and 2 hundredths.

7
a) 32.6 = 32 6/10
b) 2.03 = 2 3/100
c) 13.08 = 13 8/100
d) 3.98 = 3 98/100

8) 45.03, 54.03, 43.05, 35.04, 53.04, 34.05

Challenge:
23.7
2 tens, 3 ones and 7 tenths is equal to 20 + 3 + 0.723 7/10

2.37
2 ones, 3 tenths and 7 hundredths
2 + 0.3 + 0.7
2 37/100

9.08
9 ones, 0 tenths and 8 hundredths
9 + 0.0 + 0.08
9 8/100

0.98
0 ones, 9 tenths and 8 hundredths is equal to 0 + 0.9 + 0.08 98/100.

8. Zubeyr H.

9. Scarlett D.

Done it in my book.

10. Sarina A.

1) I have done this in my homework book.
2) 40/100 = 4/10 = 0.4
3
a) 1 23/100 = 1.23
b) 2 55/100 = 2.55
c) 2 7/10 = 2.7
4) I have done this in my homework book.
5) I have done this in my homework book.
6)
Decimal = 2.13, decimal expand form = 2+0.1+0.03, fraction = 2 13/100, fraction expanded form = 2+1/10+3/100, in words = 2 ones 1 tenth and 3 hundredth.
Decimal = 4.37, decimal expand form = 4+0.3+0.07, fraction = 4 37/100, fraction expanded form = 4+ 3/10+7/100, in words = 4 ones 3 tenths and 7 hundredths.
Decimal = 5.62, decimal expand form = 5+0.6+ 0.02, fraction = 5 62/100, fraction expanded form = 5+6/10+2/100, in words = 5 ones 6 tenth and 2 hundredths.
Decimal = 8.2, decimal expand form = 8+0.0+0.02, fraction = 8 2/100, fraction expanded form = 8+0/10+2/100, in words 8 ones and 2 hundredths.
7

• Sarina A.

I have done it on the blog

11. Samantha N.

i have done this and found it ok

12. Aiva G.

2 out of 100
2 out of 10
20 out of 100
90 out of 100

40 out of 100
40 out of 10= 4.0
0.4

0.23
2.65
2.70

13. Mohammed W.

1)Done,I have Emailed
2)40/100=4/10=0.4
3)
a}1 23/100=1.23
b}2 55/100=2.55
c}2 70/10=2.70
4)Done,I have Emailed
5)Done,I have Emailed
6)4 37/100 is the missing number.
7)
a}32.6=32 6/10
b}2.03=2 3/100
c}13.08=13 8/100
d}3.98=3 98/100
8)34.05
43.05
54.03
35.04
45.03
53.04

14. Mohammed W.

1)Done
2)40/100=4/10=0.4
3)
a}1 23/100=1.23
b}2 55/100=2.55
c}2 70/10=2.70
4)Done
5)Done
6)4 37/100 is the missing number.
7)
a}32.6=32 6/10
b}2.03=2 3/100
c}13.08=13 8/100
d}3.98=3 98/100
8)34.05
43.05
54.03
35.04
45.03
53.04

• Inaaya W.

Sorry, I post it from my brothers I’d.

15. Luqman A.

Challenge 1
2.37 9.08 23.7 0.98
0.98 9.08 2.37 23.7
2.37 23.7 0.98 9.08
:)

16. Shahzaib A.

I have done this in my book.

• Mrs Khan

Well done. If you could send your work to the year5 email address that would be good. Good to see you commenting on the blogs. Keep it up!

17. Hanif I.

I have done 6 questions but I didn’t know mixed numbers and firs questions we couldn’t draw grid, we didn’t have ruler.

18. Keira M.

I have done the challenge in my homework book and my sister helped me.

• Keira M.

i mean the independent task sorry.

• Miss Bhangu

That’s great Keira. Well done!
Please respond to other blogs as well.

I have done it.

• Mrs Sharma

20. Salman R.

Done on paper

21. I was struggling but I completed some questions

• Mr Mashford

Well done Anis for giving it a go. Keep up the good work!

22. Farhan M.

I did it

• Mr Mashford

Excellent Farhan! Please email your work to us and complete the other work on the other blogs.

• Miss Bhangu

23. Lakeysha M.

I have completed all tasks but number 7 was too hard .

• Mrs Khan

Lakeysha, remember the number before the decimal point is the whole so the first one:- 32.6 = 32 wholes and 6/10. To convert into a mixed number fraction you would multiply the whole by 10 so 32 x 10 = 320 and then add the 6 = 326/10.
Have a go at the others and let me know how you get on. You can send your work and I can check it. Well done for trying.

• Lakeysha M.

I get it know . I’ll send an email with my work .

24. Rehan H.

5.0 6.0

2.13 2 + 0.1 + 0.03 2 13/100 2 + 1/10 + 3/100 2 ones, 1 tenth and 3 hundredths

4.37 4 + 0.3 + 0.07 4 37/100 4 + 3/10 + 7/100 4 ones, 3 tenths and 7 hundredths

5.62 5 + 0.6 + 0.02 5 62/100 5 + 6/10 + 2/100 5 ones, 6 tenths and 2 hundredths

8.02 8 + 0.0 + 0.02 8 2/100 8 + 0/10 + 2/100 8 ones, 0 tenths and 2 hundredths

32.6 = 32 6/10 = 32 3/5
2.03 = 2 3/100
13.08 = 13 8/100 = 13 2/25
3.98 = 3 98/100 = 3 49/50

I found 6 numbers.
34.05

• Mrs Khan

Rehan, I am disappointed in the fact that you have been told on numerous occasions to not copy and you continue to copy answers from someone else and only do half the work. You can do better than this.

The amount that is shaded in is going to have to be 40/100. It could be explained as 4/10 and 0.4 on top of that.
1 23/100 = 123/100 = 1.23
2 55/100 = 255/100 = 2.55
Decimal equals to 2.13, decimal expand form equal to 2+0.1+0.03, fraction = 2 13/100, fraction expanded form = 2+1/10+3/100, in words its 2 ones 1 tenth and 3 hundredth.Decimal = 4.37, decimal expand form = 4+0.3+0.07, fraction = 4 37/100, fraction expanded form = 4+ 3/10+7/100, in words = 4 ones 3 tenths and 7 hundredths.
Decimal = 2.13, decimal expand form = 2+0.1+0.03, fraction = 2 13/100, fraction expanded form is equal to 2+1/10+3/100, in words = 2 ones 1 tenth and 3 hundredth. Decimal = 2.13, decimal expand form = 2+0.1+0.03, fraction = 2 13/100, fraction expanded form = 2+1/10+3/100, in words = 2 ones 1 tenth and 3 hundredth.
Decimal is equal to 5.62, the decimal expands form then it is equal to 5+0.6+ 0.02, fraction = 5 62/100, fraction expanded form is equal to 5+6/10+2/100, in words = 5 ones 6 tenth and 2 hundredths.
It doesn’t always work because if you convert a proper fraction you will be able to put it after the decimal point. However it would not work for an improper fraction because the numerator will be larger than the denominator which will have to turn it into ones with the remaining numbers being decimals.

• Mrs Khan

Adam, I am not certain that this is your work considering it looks the same as other children’s. Please can you do your own work and start sending to year 5 email address.

26. Damanpreet K.

I done it in my homework book.

• Miss Cochrane

Can you send us a copy or comment back with an example of one of your calculations?

27. Callum D.

Done!

• Miss Cochrane

Awesome Callum, can you write an example of one of your calculations?

28. Braydon Y.

1) I have done this in my homework book.
2) 40/100 = 4/10 = 0.4
3
a) 1 23/100 = 1.23
b) 2 55/100 = 2.55
c) 2 7/10 = 2.7
4) I have done this in my homework book.
5) I have done this in my homework book.
6)
Decimal = 2.13, decimal expand form = 2+0.1+0.03, fraction = 2 13/100, fraction expanded form = 2+1/10+3/100, in words = 2 ones 1 tenth and 3 hundredth.
Decimal = 4.37, decimal expand form = 4+0.3+0.07, fraction = 4 37/100, fraction expanded form = 4+ 3/10+7/100, in words = 4 ones 3 tenths and 7 hundredths.
Decimal = 5.62, decimal expand form = 5+0.6+ 0.02, fraction = 5 62/100, fraction expanded form = 5+6/10+2/100, in words = 5 ones 6 tenth and 2 hundredths.
Decimal = 8.2, decimal expand form = 8+0.0+0.02, fraction = 8 2/100, fraction expanded form = 8+0/10+2/100, in words 8 ones and 2 hundredths.
7
a) 32.6 = 32 6/10
b) 2.03 = 2 3/100
c) 13.08 = 13 8/100
d) 3.98 = 3 98/100
8) 45.03, 54.03, 43.05, 35.04, 53.04, 34.05

29. Armaan R.

To get the answer for 12.23 + 1.254. I need to write the sum out . I noticed 1.254 has 4 thousandth and 12.23 doesn’t have a thousandth so I added 0 on to the number. This now is 12.230. Now I can add both numbers together. 12.230 + 1.254 = 13.484.

• Mr Janjua

Well done Armaan, the use of the placeholder was fantastic. You have understood place value correctly! Well done for remembering that the decimal point does not move at all when adding!

30. Keisha N.

Done

31. Harun O.

Done it.

32. Tahseen S.

I have done ✅ this in my homework 📚 book 📖.

• Miss Bhangu

33. Marvin A.

The amount that is shaded in is 40/100. It can be explained as 4/10 and 0.4 as well.
1 23/100 = 123/100 = 1.23
2 55/100 = 255/100 = 2.55
2 7/10 = 27/10 = 2.7

1.3 1.6 1.85 1.98
|____|____|____|____|____|____|____|____|____|____|
1.0 2.0

5 1/10 5 1/2 5 73/100 590/600
|____|____|____|____|____|____|____|____|____|____|
5.0 6.0

2.13 2 + 0.1 + 0.03 2 13/100 2 + 1/10 + 3/100 2 ones, 1 tenth and 3 hundredths

4.37 4 + 0.3 + 0.07 4 37/100 4 + 3/10 + 7/100 4 ones, 3 tenths and 7 hundredths

5.62 5 + 0.6 + 0.02 5 62/100 5 + 6/10 + 2/100 5 ones, 6 tenths and 2 hundredths

8.02 8 + 0.0 + 0.02 8 2/100 8 + 0/10 + 2/100 8 ones, 0 tenths and 2 hundredths

32.6 = 32 6/10 = 32 3/5
2.03 = 2 3/100
13.08 = 13 8/100 = 13 2/25
3.98 = 3 98/100 = 3 49/50

I found 6 numbers.
34.05
43.05
53.04
35.04
54.03
45.03

Challenge:

23.7
2 tens, 3 ones and 7 tenths
20 + 3 + 0.7
23 7/10

2.37
2 ones, 3 tenths and 7 hundredths
2 + 0.3 + 0.7
2 37/100

9.08
9 ones, 0 tenths and 8 hundredths
9 + 0.0 + 0.08
9 8/100

0.98
0 ones, 9 tenths and 8 hundredths
0 + 0.9 + 0.08
98/100

It doesn’t always work because if you convert a proper fraction, you will be able to put it after the decimal. But it won’t work for an improper fraction because the numerator will be bigger than the denominator which will have to turn it into ones with the remaining being decimals.

• Mr Janjua

Fantastic work Marvin, you have put a lot of effort into this? Would you be able to use the same method to write 4.269 in different ways?

34. Haniah T.

I have done number 2 in my homework book I tried!!

• Mrs Khan

Well done Haniah. Keep on trying.

• Mr Inman

Super Haniah! Well done for trying.

35. Lexi S.

1) I have done this in my book
2)40/100= 0.4 = = 4/10
3(
A(1 23/100 1.23

• Mr Janjua

Well done Lexi, have a go at the challenge 🙌🏽

Done

• Miss Bhangu

37. Sabirin D.

I completed the independent task. It was a bit hard

• Mr Inman

Thank you for uploading work to the year 5 email. Did you use my video to help with the work?

38. Aaron S.

• Miss Bhangu

Check the other blogs to make sure you have completed all work. Thank you.

39. Armaan R.

Maths home learning

1) I have done this in my homework book.

2) 40/100 = 4/10 = 0.4

3
a) 1 23/100 = 1.23
b) 2 55/100 = 2.55
c) 2 7/10 = 2.7

4) I have done this in my homework book.

5) I have done this in my homework book.

6)
Decimal = 2.13, decimal expand form = 2+0.1+0.03, fraction = 2 13/100, fraction expanded form = 2+1/10+3/100, in words = 2 ones 1 tenth and 3 hundredth.

Decimal = 4.37, decimal expand form = 4+0.3+0.07, fraction = 4 37/100, fraction expanded form = 4+ 3/10+7/100, in words = 4 ones 3 tenths and 7 hundredths.

Decimal = 5.62, decimal expand form = 5+0.6+ 0.02, fraction = 5 62/100, fraction expanded form = 5+6/10+2/100, in words = 5 ones 6 tenth and 2 hundredths.

Decimal = 8.2, decimal expand form = 8+0.0+0.02, fraction = 8 2/100, fraction expanded form = 8+0/10+2/100, in words 8 ones and 2 hundredths.

7
a) 32.6 = 32 6/10
b) 2.03 = 2 3/100
c) 13.08 = 13 8/100
d) 3.98 = 3 98/100

8) 45.03, 54.03, 43.05, 35.04, 53.04, 34.05

I have also done all the questions in my homework book as well.

• Mr Janjua

Well done Armaan, I can see you have understood the decimals topic well over the last few days. Keep up the fantastic work!

• Miss Cochrane

Good, well done Armaan. What is 12.23 + 1.254?

40. Haniah T.

I have only done number 1 in my homework book!

• Mrs Khan

Haniah can you try and have a go at some of the other questions. Try your best.

• Mr Janjua

That’s a good start Haniah, have a go at number 2 and count the squares in the hundred square 👍🏽

41. Ebraheem J.

I’ve done it

• Mrs Khan

How did you get on with it Ebraheem, can you send your work to the year 5 email address please?

• Mr Janjua

Ebraheem, I have not accepted your comment as you have copied Marvin’s work which is unacceptable. I would love to give you feedback but you need to ensure you are doing your OWN work.

42. Nehemia K.

I have done the Challenge task

• Mrs Khan

43. Youssif G.

I have done it now i need to catch up on some rest after the other pieces of homework

• Miss Cochrane

Thank you for looking at any work you have missed. Let me or Mrs Sharma know if you have any issues accessing it.

44. Zoya N.

I have done it.

• Mr Mashford

That’s great Zoya, please email it over to us.

45. Aidan M.

I’ve done it

• Mr Mashford

Excellent! Can you email it over please so I can see it Aidan? Thanks

46. Abdirahman M.

I have done the work on paper

• Mr Mashford

Excellent Abdi! Email it over please so I can see it!