Class 4 Maths Fractions and Measurement Worksheet
Class 4 Maths · Equivalent fractions and measurement · 56 questions with answers
Equivalent fractions are where the Class 3 idea of equal parts either pays off or collapses. A child who believes 1/3 is bigger than 1/2 because three is bigger than two will not accept that 1/2 and 2/4 are the same amount - so if that comes up here, the fix is a real object cut up rather than more written practice.
- Recognise and write equivalent fractions.
- Compare two fractions with the same denominator or the same numerator.
- Convert between metres and centimetres, kilograms and grams, litres and millilitres.
Exercise 1 of 5 · 12 questions
Fill in the missing number to make equivalent fractions.
Fill in the blank · Warm-up
Here’s one done for you
1/2 = ___/4. The bottom went from 2 to 4, which is doubling. So the top must double too: 1 becomes 2. Whatever you do to the bottom, do to the top - the fraction stays the same amount because you have cut the same thing into more pieces.
- 1)1/2 = ___/4
- 2)1/3 = 2/___
- 3)2/5 = 4/___
- 4)3/4 = ___/8
- 5)1/4 = ___/12
- 6)2/3 = 6/___
- 7)1/5 = ___/10
- 8)3/5 = 9/___
- 9)1/2 = 5/___
- 10)2/7 = ___/14
- 11)5/6 = ___/12
- 12)1/8 = 3/___
Answers
- 1) 2
- 2) 6
- 3) 10
- 4) 6
- 5) 3
- 6) 9
- 7) 2
- 8) 15
- 9) 10
- 10) 4
- 11) 10
- 12) 24
Exercise 2 of 5 · 12 questions
Write > or < between the fractions.
Fill in the blank · Guided
Here’s one done for you
1/2 ___ 1/4 → >. Same top number, so look at the bottom: the MORE pieces you cut a whole into, the SMALLER each piece is. Quarters are smaller than halves, so 1/2 is bigger. This is the rule children find hardest to believe - cut a real roti to prove it.
- 1)3/5 ___ 2/5
- 2)1/2 ___ 1/4
- 3)5/8 ___ 7/8
- 4)1/3 ___ 1/6
- 5)4/7 ___ 2/7
- 6)1/5 ___ 1/2
- 7)5/9 ___ 4/9
- 8)1/10 ___ 1/8
- 9)7/12 ___ 11/12
- 10)1/2 ___ 1/3
- 11)3/8 ___ 5/8
- 12)1/7 ___ 1/4
Answers
- 1) >
- 2) >
- 3) <
- 4) >
- 5) >
- 6) <
- 7) >
- 8) <
- 9) <
- 10) >
- 11) <
- 12) <
Exercise 3 of 5 · 12 questions
Find the fraction of each number.
Write the answer · Practice
Here’s one done for you
2/5 of 40: divide by the bottom, multiply by the top. 40 ÷ 5 = 8, then 8 × 2 = 16. Divide first, multiply second - doing it the other way round gives bigger numbers to handle for no reason.
- 1)1/4 of 36
- 2)1/3 of 27
- 3)2/5 of 40
- 4)3/4 of 24
- 5)1/6 of 42
- 6)2/3 of 18
- 7)3/5 of 45
- 8)1/8 of 64
- 9)5/6 of 30
- 10)2/7 of 63
- 11)3/8 of 40
- 12)4/9 of 81
Answers
- 1) 9
- 2) 9
- 3) 16
- 4) 18
- 5) 7
- 6) 12
- 7) 27
- 8) 8
- 9) 25
- 10) 18
- 11) 15
- 12) 36
Exercise 4 of 5 · 12 questions
Convert.
Write the answer · Practice
Here’s one done for you
3 m = ___ cm → 300. There are 100 cm in a metre, so multiply by 100. Going the other way (cm to m) you divide. The rule: converting to a smaller unit multiplies, converting to a bigger unit divides - because it takes more small things to make the same amount.
- 1)3 m = ___ cm
- 2)2 kg = ___ g
- 3)5 l = ___ ml
- 4)450 cm = ___ m ___ cm
- 5)1,750 g = ___ kg ___ g
- 6)2,300 ml = ___ l ___ ml
- 7)7 m = ___ cm
- 8)4 kg = ___ g
- 9)3 l = ___ ml
- 10)625 cm = ___ m ___ cm
- 11)2,080 g = ___ kg ___ g
- 12)5,400 ml = ___ l ___ ml
Answers
- 1) 300 cm
- 2) 2,000 g
- 3) 5,000 ml
- 4) 4 m 50 cm
- 5) 1 kg 750 g
- 6) 2 l 300 ml
- 7) 700 cm
- 8) 4,000 g
- 9) 3,000 ml
- 10) 6 m 25 cm
- 11) 2 kg 80 g
- 12) 5 l 400 ml
Exercise 5 of 5 · 8 questions
Word problems.
Write the answer · Challenge
- 1)A ribbon is 2 m 40 cm long. How many centimetres is that?
- 2)Ravi drank 1/4 of a 2-litre bottle. How many millilitres did he drink?
- 3)A bag of rice weighs 5 kg. If 1/5 is used, how many grams are left?
- 4)A rope is 6 m 75 cm long. How many centimetres is that?
- 5)A jug holds 1 l 500 ml. How many millilitres is that?
- 6)A sack of wheat weighs 10 kg. 3/5 is used. How many grams are left?
- 7)A cloth 3 m long is cut into 6 equal pieces. How long is each piece in centimetres?
- 8)Three bottles hold 750 ml each. How many litres in all?
Answers
- 1) 240 cm
- 2) 500 ml (2 l = 2,000 ml; 2,000 ÷ 4 = 500)
- 3) 4,000 g (1/5 of 5 kg = 1 kg used, 4 kg left = 4,000 g)
- 4) 675 cm
- 5) 1,500 ml
- 6) 4,000 g (3/5 of 10 kg = 6 kg used, 4 kg left)
- 7) 50 cm (3 m = 300 cm; 300 ÷ 6 = 50)
- 8) 2 l 250 ml (750 × 3 = 2,250 ml)
While your child works
- If your child thinks 1/3 is bigger than 1/2, stop and cut something. A roti into halves and another into thirds, side by side - it takes a minute and it prevents a misconception that otherwise damages every fraction topic through to Class 8.
- For fraction of a number, divide first and multiply second. Doing it the other way round works but produces unnecessarily large numbers to handle.
- For conversions, the rule is directional: to a smaller unit multiply, to a bigger unit divide. Children who memorise 'x100' without the direction end up dividing when they should multiply.