Year 5 Maths: Writing One Quantity as a Fraction of Another Quantity

Introduction to Fractions

Hello, Year 5! Today, we are going to learn about how to write one quantity as a fraction of another quantity. A fraction is a way to show a part of a whole. We can think of it as a way to compare two numbers.

What is a Fraction?

A fraction consists of two parts:

1. Numerator: This is the top number. It tells us how many parts we have.
2. Denominator: This is the bottom number. It tells us how many equal parts the whole is divided into.

Example: In the fraction

$$\frac{2}{5}$$ , 2 is the numerator and 5 is the denominator. This means that we have 2 parts out of a total of 5 parts.

Writing One Quantity as a Fraction of Another Quantity

To write one quantity as a fraction of another quantity, we follow these steps:

1. Identify the two quantities: Figure out what the two quantities are that you want to compare.
2. Write the fraction: Place the first quantity (the part) as the numerator and the second quantity (the whole) as the denominator.

Example

Let’s say you have 3 apples, and there are 12 apples in total. To write the number of apples you have as a fraction of the total number of apples, you would write it like this:

$$\text{Fraction} = \frac{\text{Number of apples you have}}{\text{Total number of apples}} = \frac{3}{12}$$

Key Rules

1. Always reduce the fraction: If possible, simplify the fraction to its lowest form. For example, $$\frac{3}{12}$$ can be simplified to $$\frac{1}{4}$$ because both 3 and 12 can be divided by 3.
2. Make sure they are the same type: When comparing quantities, ensure they are measuring the same type of thing. You wouldn’t compare apples to oranges!
3. Use a number line: Sometimes drawing a number line can help you understand how fractions work and how they compare to each other.

Tips and Tricks

• Practice with real-life examples: Use objects around you, like toys or food, to create fractions.
• Visual aids: Draw circles or bars to represent fractions visually.
• Ask questions: If you don’t understand, ask your teacher or friends for help!

Questions

Easy Level (20 Questions)

1. Write 2 out of 10 as a fraction.
2. Write 4 out of 8 as a fraction.
3. If there are 5 red balloons out of 20, what fraction are red?
4. Write 1 out of 5 as a fraction.
5. If you have 3 cookies out of 15, what fraction do you have?
6. Write 7 out of 14 as a fraction.
7. What fraction is 6 out of 6?
8. Write 2 out of 12 as a fraction.
9. If there are 9 boys out of 30 students, what fraction are boys?
10. Write 10 out of 50 as a fraction.
11. If you have 1 pencil out of 4, what fraction do you have?
12. Write 3 out of 9 as a fraction.
13. If there are 2 cats out of 10 pets, what fraction are cats?
14. Write 5 out of 25 as a fraction.
15. If there are 8 girls out of 32 students, what fraction are girls?
16. Write 4 out of 16 as a fraction.
17. If you have 2 out of 6 marbles, what fraction do you have?
18. Write 11 out of 22 as a fraction.
19. If there are 3 trees out of 15 in a park, what fraction are trees?
20. Write 6 out of 30 as a fraction.

Medium Level (20 Questions)

1. Write 15 out of 60 as a fraction and simplify.
2. If 9 out of 45 animals in a zoo are lions, what fraction are lions?
3. Write 12 out of 36 as a fraction and simplify.
4. If you have 25 out of 100 stickers, what fraction do you have?
5. Write 30 out of 90 as a fraction and simplify.
6. If there are 14 girls out of 42 students, what fraction are girls?
7. Write 7 out of 21 as a fraction and simplify.
8. If you eat 4 out of 16 pieces of pizza, what fraction do you have?
9. Write 18 out of 72 as a fraction and simplify.
10. If there are 10 out of 40 apples that are red, what fraction are red?
11. Write 16 out of 64 as a fraction and simplify.
12. If you scored 12 out of 48 on a test, what fraction did you score?
13. Write 20 out of 80 as a fraction and simplify.
14. If there are 5 out of 25 players on a team who are girls, what fraction are girls?
15. Write 21 out of 63 as a fraction and simplify.
16. If there are 8 out of 32 pieces of fruit that are bananas, what fraction are bananas?
17. Write 24 out of 96 as a fraction and simplify.
18. If you have 15 out of 45 marbles, what fraction do you have?
19. Write 10 out of 50 as a fraction and simplify.
20. If there are 6 out of 18 cars that are red, what fraction are red?

Hard Level (20 Questions)

1. Write 27 out of 81 as a fraction and simplify.
2. If you have 14 out of 70 chocolates, what fraction do you have?
3. Write 22 out of 88 as a fraction and simplify.
4. If there are 35 out of 140 students who like sports, what fraction do they represent?
5. Write 48 out of 120 as a fraction and simplify.
6. If a box has 15 out of 60 toys that are cars, what fraction are cars?
7. Write 16 out of 48 as a fraction and simplify.
8. If a class has 12 out of 36 students who are boys, what fraction are boys?
9. Write 9 out of 45 as a fraction and simplify.
10. If you read 30 out of 90 books, what fraction did you read?
11. Write 18 out of 54 as a fraction and simplify.
12. If there are 3 out of 12 pizza slices left, what fraction is left?
13. Write 7 out of 35 as a fraction and simplify.
14. If 25 out of 125 students passed a test, what fraction passed?
15. Write 11 out of 55 as a fraction and simplify.
16. If there are 20 out of 80 cars that are green, what fraction are green?
17. Write 8 out of 32 as a fraction and simplify.
18. If you have 50 out of 200 stickers, what fraction do you have?
19. Write 45 out of 180 as a fraction and simplify.
20. If there are 24 out of 96 animals that are dogs, what fraction are dogs?

Answers and Explanations

Easy Level Answers

1. $$\frac{2}{10} = \frac{1}{5}$$
2. $$\frac{4}{8} = \frac{1}{2}$$
3. $$\frac{5}{20} = \frac{1}{4}$$
4. $$\frac{1}{5}$$
5. $$\frac{3}{15} = \frac{1}{5}$$
6. $$\frac{7}{14} = \frac{1}{2}$$
7. $$\frac{6}{6} = 1$$
8. $$\frac{2}{12} = \frac{1}{6}$$
9. $$\frac{9}{30} = \frac{3}{10}$$
10. $$\frac{10}{50} = \frac{1}{5}$$
11. $$\frac{1}{4}$$
12. $$\frac{1}{3}$$
13. $$\frac{2}{10} = \frac{1}{5}$$
14. $$\frac{1}{5}$$
15. $$\frac{1}{4}$$
16. $$\frac{1}{4}$$
17. $$\frac{1}{3}$$
18. $$\frac{1}{2}$$
19. $$\frac{1}{5}$$
20. $$\frac{1}{5}$$

Medium Level Answers

1. $$\frac{15}{60} = \frac{1}{4}$$
2. $$\frac{9}{45} = \frac{1}{5}$$
3. $$\frac{12}{36} = \frac{1}{3}$$
4. $$\frac{25}{100} = \frac{1}{4}$$
5. $$\frac{30}{90} = \frac{1}{3}$$
6. $$\frac{14}{42} = \frac{1}{3}$$
7. $$\frac{1}{3}$$
8. $$\frac{1}{4}$$
9. $$\frac{1}{4}$$
10. $$\frac{1}{4}$$
11. $$\frac{1}{4}$$
12. $$\frac{1}{4}$$
13. $$\frac{1}{4}$$
14. $$\frac{1}{5}$$
15. $$\frac{1}{3}$$
16. $$\frac{1}{4}$$
17. $$\frac{1}{3}$$
18. $$\frac{3}{10}$$
19. $$\frac{1}{5}$$
20. $$\frac{1}{3}$$

Hard Level Answers

1. $$\frac{27}{81} = \frac{1}{3}$$
2. $$\frac{14}{70} = \frac{1}{5}$$
3. $$\frac{22}{88} = \frac{1}{4}$$
4. $$\frac{35}{140} = \frac{1}{4}$$
5. $$\frac{48}{120} = \frac{2}{5}$$
6. $$\frac{15}{60} = \frac{1}{4}$$
7. $$\frac{1}{3}$$
8. $$\frac{1}{3}$$
9. $$\frac{1}{5}$$
10. $$\frac{1}{3}$$
11. $$\frac{1}{3}$$
12. $$\frac{1}{4}$$
13. $$\frac{1}{5}$$
14. $$\frac{1}{5}$$
15. $$\frac{1}{5}$$
16. $$\frac{1}{4}$$
17. $$\frac{1}{4}$$
18. $$\frac{1}{4}$$
19. $$\frac{1}{4}$$
20. $$\frac{1}{4}$$

Feel free to ask questions or practice more with the fractions! Remember, practice makes perfect!