Year 4 Maths: Calculating a Fraction of a Metric Quantity

Introduction to Fractions

Hello, Year 4! Today, we are going to learn how to calculate a fraction of a metric quantity. This means we will find parts of something using fractions.

What is a Fraction?

A fraction is a way to show a part of a whole. For example, if we have a pizza and we cut it into 4 equal slices, one slice is $\frac{1}{4}$ of the pizza.

Understanding Metric Quantities

Metric quantities are measurements we use in school, like grams, litres, and metres. For example, if you have 2 litres of juice, that is a metric quantity.

How to Calculate a Fraction of a Metric Quantity

Step 1: Identify the Metric Quantity

First, look at the amount you have. For example, let’s say we have 3 litres of water.

Step 2: Identify the Fraction

Next, decide what fraction you want to find. For example, if we want to find $\frac{1}{2}$ of the 3 litres.

Step 3: Do the Calculation

To calculate a fraction of a quantity, you multiply the quantity by the fraction. Here’s the formula:

$$ \text{Fraction of Quantity} = \text{Quantity} \times \text{Fraction} $$

Using our example:

$$ \text{Fraction of Quantity} = 3 \text{ litres} \times \frac{1}{2} $$

Step 4: Simplify

Now, let’s do the math:

$$ 3 \times \frac{1}{2} = \frac{3}{2} = 1.5 \text{ litres} $$

So, $\frac{1}{2}$ of 3 litres is 1.5 litres.

Key Rules

1. Multiply the whole number by the top number (numerator) of the fraction.
2. Divide by the bottom number (denominator) of the fraction.
3. Simplify your answer if possible.

Tips and Tricks

• Think of it as sharing! If you can share something equally, you can find a fraction of it.
• Draw a picture. Sometimes, drawing can help you see what you are working with.
• Use a calculator if you are unsure about multiplying or dividing.

Questions

Easy Level Questions

1. What is $\frac{1}{2}$ of 4 grams?
2. What is $\frac{1}{4}$ of 8 litres?
3. What is $\frac{3}{4}$ of 16 metres?
4. What is $\frac{1}{3}$ of 9 kilograms?
5. What is $\frac{1}{5}$ of 10 litres?
6. What is $\frac{2}{3}$ of 12 grams?
7. What is $\frac{1}{2}$ of 6 metres?
8. What is $\frac{1}{4}$ of 20 grams?
9. What is $\frac{3}{5}$ of 15 litres?
10. What is $\frac{1}{2}$ of 10 kilograms?
11. What is $\frac{2}{5}$ of 25 litres?
12. What is $\frac{1}{10}$ of 50 grams?
13. What is $\frac{3}{4}$ of 8 litres?
14. What is $\frac{1}{2}$ of 18 metres?
15. What is $\frac{4}{5}$ of 25 grams?
16. What is $\frac{1}{3}$ of 21 litres?
17. What is $\frac{1}{4}$ of 24 grams?
18. What is $\frac{2}{3}$ of 30 metres?
19. What is $\frac{1}{2}$ of 14 kilograms?
20. What is $\frac{1}{5}$ of 35 litres?

Medium Level Questions

1. What is $\frac{2}{3}$ of 45 grams?
2. What is $\frac{3}{8}$ of 64 litres?
3. What is $\frac{1}{2}$ of 100 grams?
4. What is $\frac{5}{6}$ of 36 metres?
5. What is $\frac{1}{4}$ of 80 litres?
6. What is $\frac{3}{5}$ of 75 grams?
7. What is $\frac{4}{7}$ of 49 litres?
8. What is $\frac{2}{5}$ of 60 metres?
9. What is $\frac{1}{3}$ of 90 grams?
10. What is $\frac{5}{4}$ of 20 litres?
11. What is $\frac{1}{6}$ of 12 kilograms?
12. What is $\frac{3}{10}$ of 50 litres?
13. What is $\frac{7}{8}$ of 32 grams?
14. What is $\frac{2}{3}$ of 27 metres?
15. What is $\frac{1}{2}$ of 54 litres?
16. What is $\frac{3}{4}$ of 80 grams?
17. What is $\frac{1}{5}$ of 45 litres?
18. What is $\frac{2}{9}$ of 72 grams?
19. What is $\frac{4}{10}$ of 40 litres?
20. What is $\frac{5}{12}$ of 60 kilograms?

Hard Level Questions

1. What is $\frac{3}{4}$ of 200 grams?
2. What is $\frac{7}{8}$ of 160 litres?
3. What is $\frac{5}{6}$ of 360 grams?
4. What is $\frac{2}{3}$ of 90 metres?
5. What is $\frac{11}{12}$ of 48 litres?
6. What is $\frac{9}{10}$ of 250 grams?
7. What is $\frac{3}{5}$ of 150 litres?
8. What is $\frac{2}{7}$ of 105 grams?
9. What is $\frac{4}{9}$ of 81 litres?
10. What is $\frac{5}{8}$ of 64 grams?
11. What is $\frac{3}{10}$ of 200 litres?
12. What is $\frac{7}{12}$ of 144 grams?
13. What is $\frac{5}{11}$ of 110 litres?
14. What is $\frac{8}{15}$ of 90 grams?
15. What is $\frac{3}{13}$ of 117 litres?
16. What is $\frac{11}{14}$ of 84 grams?
17. What is $\frac{4}{5}$ of 250 litres?
18. What is $\frac{1}{3}$ of 225 grams?
19. What is $\frac{2}{13}$ of 130 litres?
20. What is $\frac{9}{16}$ of 96 grams?

Answers

Easy Level Answers

1. 2 grams
2. 2 litres
3. 12 metres
4. 3 kilograms
5. 2 litres
6. 8 grams
7. 3 metres
8. 5 grams
9. 9 litres
10. 5 kilograms
11. 10 litres
12. 5 grams
13. 6 litres
14. 9 metres
15. 20 grams
16. 7 litres
17. 6 grams
18. 20 metres
19. 7 kilograms
20. 7 litres

Medium Level Answers

1. 30 grams
2. 24 litres
3. 50 grams
4. 30 metres
5. 20 litres
6. 45 grams
7. 28 litres
8. 24 metres
9. 30 grams
10. 25 litres
11. 2 kilograms
12. 15 litres
13. 28 grams
14. 18 metres
15. 27 litres
16. 60 grams
17. 9 litres
18. 16 grams
19. 16 litres
20. 25 kilograms

Hard Level Answers

1. 150 grams
2. 140 litres
3. 300 grams
4. 60 metres
5. 44 litres
6. 225 grams
7. 90 litres
8. 30 grams
9. 36 litres
10. 48 grams
11. 60 litres
12. 108 grams
13. 10 litres
14. 54 grams
15. 27 litres
16. 48 grams
17. 200 litres
18. 75 grams
19. 20 litres
20. 54 grams

Happy learning, Year 4! Keep practising, and you will become great at calculating fractions of metric quantities!