Year 4 Maths: Fractions Greater Than One

Introduction to Fractions Greater Than One

Hello, Year 4! Today, we are going to learn about fractions that are greater than one. Can you remember what a fraction is? A fraction shows us a part of a whole. For example, if you have a pizza and you eat some, the part you ate can be shown as a fraction.

What Are Fractions Greater Than One?

Fractions greater than one are fractions that show more than one whole. For example, if you have two pizzas, you can say you have two whole pizzas, which we can also show as a fraction:

$$\frac{2}{1}$$

This means you have 2 whole pizzas.

How to Identify Fractions Greater Than One

To identify a fraction greater than one, look at the numbers:

• The top number (numerator) tells you how many parts you have.
• The bottom number (denominator) tells you how many parts make one whole.

If the numerator is greater than the denominator, the fraction is greater than one.

For example:

• $$\frac{5}{4}$$ (5 is greater than 4, so this is greater than 1)
• $$\frac{3}{2}$$ (3 is greater than 2, so this is also greater than 1)

Mixed Numbers

Sometimes, we can also write fractions greater than one as mixed numbers. A mixed number has a whole number and a proper fraction.

For example:

• $$\frac{5}{4}$$ can be written as 1 and $$\frac{1}{4}$$ because 4 goes into 5 once, with 1 left over.

Key Rules

1. Numerator > Denominator: If the top number is bigger than the bottom number, it’s a fraction greater than one.
2. Mixed Numbers: You can write fractions greater than one as a whole number and a proper fraction.
3. Improper Fractions: Fractions like $$\frac{5}{4}$$ are called improper fractions when the numerator is greater than the denominator.

Tips and Tricks

• Visualisation: Draw circles or bars to show whole parts and extra parts. This can help you see the fraction better.
• Practice with real objects: Use food items like fruits or cut-up paper to create whole pieces and extra parts.
• Remember: Whole numbers can also be fractions! For example, 2 can be written as $$\frac{2}{1}$$.

Questions

Easy Level Questions

1. What is $$\frac{3}{2}$$ as a mixed number?
2. Is $$\frac{7}{6}$$ greater than 1?
3. Write the improper fraction for 3 whole pizzas.
4. What is $$\frac{4}{3}$$ as a mixed number?
5. Is $$\frac{2}{1}$$ greater than 1?
6. Write 5 as a fraction.
7. Is $$\frac{9}{8}$$ greater than 1?
8. How many whole parts are in $$\frac{10}{4}$$?
9. Write $$\frac{6}{5}$$ as a mixed number.
10. Is $$\frac{1}{1}$$ greater than 1?
11. What does the numerator tell you?
12. What does the denominator tell you?
13. Can $$\frac{8}{3}$$ be written as a mixed number?
14. Is $$\frac{5}{2}$$ greater than 1?
15. Write the mixed number for $$\frac{7}{4}$$.
16. How many whole parts are in $$\frac{12}{5}$$?
17. Write 4 as a fraction.
18. Is $$\frac{11}{10}$$ greater than 1?
19. How many whole parts are in $$\frac{15}{8}$$?
20. What is $$\frac{9}{4}$$ as a mixed number?

Medium Level Questions

1. Write $$\frac{14}{3}$$ as a mixed number.
2. How many whole parts are in $$\frac{22}{7}$$?
3. Is $$\frac{19}{12}$$ greater than 1?
4. Write 6 as a fraction.
5. What is $$\frac{17}{4}$$ as a mixed number?
6. Is $$\frac{5}{5}$$ greater than 1?
7. Write the improper fraction for 4 whole oranges.
8. How many whole parts are in $$\frac{25}{6}$$?
9. What is $$\frac{35}{10}$$ as a mixed number?
10. How many whole parts are in $$\frac{30}{8}$$?
11. Is $$\frac{13}{9}$$ greater than 1?
12. Write $$\frac{18}{5}$$ as a mixed number.
13. How many whole parts are in $$\frac{16}{4}$$?
14. Write the improper fraction for 2 whole cakes.
15. What is $$\frac{28}{7}$$ as a mixed number?
16. Is $$\frac{20}{15}$$ greater than 1?
17. Write $$\frac{24}{5}$$ as a mixed number.
18. How many whole parts are in $$\frac{40}{9}$$?
19. Is $$\frac{50}{25}$$ greater than 1?
20. Write $$\frac{9}{4}$$ as a mixed number.

Hard Level Questions

1. Convert $$\frac{45}{6}$$ into a mixed number.
2. Is $$\frac{51}{20}$$ greater than 1?
3. Write the improper fraction for 5 whole chocolates.
4. How many whole parts are in $$\frac{77}{10}$$?
5. What is $$\frac{66}{11}$$ as a mixed number?
6. Is $$\frac{27}{16}$$ greater than 1?
7. Write $$\frac{63}{14}$$ as a mixed number.
8. How many whole parts are in $$\frac{99}{8}$$?
9. Convert $$\frac{100}{35}$$ into a mixed number.
10. Is $$\frac{34}{20}$$ greater than 1?
11. Write the improper fraction for 3 whole jars.
12. How many whole parts are in $$\frac{84}{5}$$?
13. What is $$\frac{77}{10}$$ as a mixed number?
14. Is $$\frac{40}{15}$$ greater than 1?
15. Write $$\frac{95}{12}$$ as a mixed number.
16. How many whole parts are in $$\frac{50}{7}$$?
17. Write the improper fraction for 6 whole cakes.
18. Is $$\frac{39}{18}$$ greater than 1?
19. Convert $$\frac{88}{9}$$ into a mixed number.
20. How many whole parts are in $$\frac{101}{6}$$?

Answers

Easy Level Answers

1. 1 and $$\frac{1}{2}$$
2. Yes
3. $$\frac{3}{1}$$
4. 1 and $$\frac{1}{4}$$
5. Yes
6. $$\frac{4}{1}$$
7. Yes
8. 2
9. 1 and $$\frac{1}{5}$$
10. No
11. The number of parts you have.
12. The number of parts that make one whole.
13. Yes, it is 2 and $$\frac{2}{3}$$.
14. Yes
15. 1 and $$\frac{1}{4}$$
16. 2
17. $$\frac{4}{1}$$
18. Yes
19. 1 and $$\frac{7}{8}$$
20. 2 and $$\frac{1}{4}$$

Medium Level Answers

1. 4 and $$\frac{2}{3}$$
2. 3
3. Yes
4. $$\frac{6}{1}$$
5. 4 and $$\frac{1}{4}$$
6. No
7. $$\frac{8}{1}$$
8. 4
9. 3 and $$\frac{5}{10}$$
10. 3
11. Yes
12. 3 and $$\frac{3}{5}$$
13. 4
14. $$\frac{8}{1}$$
15. 4
16. Yes
17. 5 and $$\frac{1}{2}$$
18. 4
19. Yes
20. 2 and $$\frac{1}{5}$$

Hard Level Answers

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

Now you have a better understanding of fractions greater than one! Keep practicing, and you’ll become a fraction expert in no time!