RemeliaMaths Year 5 Fractions, decimals & %
Year 5 equivalent fractions
The objective: Identify, name and write equivalent fractions, including tenths and hundredths.
The explanation, example and questions are the ones Remelia uses in the app; the questions are not taken from any test paper.
The idea
Equivalent fractions are made by multiplying or dividing top and bottom by the same number. Tenths and hundredths link fractions straight to decimals.
How to do it
- Multiply both parts by the same number to scale up.
- Divide both by a common factor to simplify.
- 3/10 = 30/100 = 0.3.
A worked example
40/100 = 4/10 = 2/5.
Watch for
Simplifying only partially and stopping. Keep going until the only common factor is 1.
Try four questions
-
Write 813 hundredths as a decimal.
Show the answer to question 1
Answer: 8.13
Why:
100 hundredths make one whole, so 813 hundredths = 813 ÷ 100 = 8.13.
The last digit of 813 goes in the hundredths column, the second place after the point.
-
Which is bigger: 3/5 or 1/10?
- A 3/5
- B 1/10
- C They are equal
Show the answer to question 2
Answer: A · 3/5
Why:
Make the denominators match: 3/5 = 6/10.
Now compare 6/10 with 1/10 → 3/5 is bigger.
-
Which is bigger: 2/5 or 1/10?
- A They are equal
- B 2/5
- C 1/10
Show the answer to question 3
Answer: B · 2/5
Why:
Make the denominators match: 2/5 = 4/10.
Now compare 4/10 with 1/10 → 2/5 is bigger.
-
Three of these are equal to 1/4. Which one is not?
- A 3/12
- B 2/8
- C 25/100
- D 30/100
Show the answer to question 4
Answer: D · 30/100
Why:
1/4 = 25/100. 30/100 is 30 hundredths, which is more.
Answers
- 1. 8.13
- 2. A · 3/5
- 3. B · 2/5
- 4. D · 30/100
The mistakes Remelia names
When a wrong answer to a question like these matches one of these mistakes, the app says what the child seems to have done before they try again.
- Question 1, the answer 81.3: Your digits are right, but in the wrong columns: your answer is 10 times too big.
- Question 1, the answer 0.813: Your digits are right, but in the wrong columns: your answer is 10 times too small.