Year 6 Maths: Time as Fraction

Introduction to Time as Fraction

Hello, Year 6! Today, we’re going to learn about time as a fraction. Understanding how to represent time as fractions helps us understand how parts of an hour or day relate to each other. Let’s break it down step by step!

What is a Fraction?

A fraction represents a part of a whole. For example, if you have a pizza and you eat 1 out of 4 slices, you can say you ate

Time in Fractions

Time can also be expressed in fractions. The most common time units we will deal with are:

• Minutes in an hour
• Hours in a day

Example 1: Time in an Hour

An hour has 60 minutes. If we think of 1 hour as a whole, we can divide it into fractions.

• If you spend 15 minutes on something, you have spent $$\frac{15}{60}$$ of an hour.
• Simplifying that fraction gives us $$\frac{1}{4}$$ . So, 15 minutes is a quarter of an hour.

Example 2: Time in a Day

A day has 24 hours.

• If you sleep for 8 hours, you can say you slept $$\frac{8}{24}$$ of a day.
• Simplifying that fraction gives us $$\frac{1}{3}$$ . So, sleeping for 8 hours is one-third of a day.

Key Rules

1. Understanding Whole Units: Always remember how many units make up a whole. For time, this usually means knowing how many minutes in an hour and how many hours in a day.
2. Simplifying Fractions: Always try to simplify your fractions. Divide the top and bottom by the same number to find the simplest form.
3. Converting Time: You can convert time into fractions by using the whole unit as the denominator and the part of the unit as the numerator.

Tips and Tricks

• Use Visuals: Draw clocks or pie charts to visually represent the fractions of time you are working with.
• Practice: The more you practice, the easier it will be to convert time into fractions.
• Think of Everyday Activities: For example, how much time do you spend on homework versus playing? This can help you relate fractions of time to your daily life.

Questions for Practice

Easy Level Questions

1. How many minutes are in half an hour?
2. If I read for 30 minutes, what fraction of an hour is that?
3. What fraction of a day is 12 hours?
4. If I play for 15 minutes, what fraction of an hour is that?
5. Convert 20 minutes into a fraction of an hour.
6. How many minutes are in a quarter of an hour?
7. If I spend 5 minutes on a task, what fraction of an hour is that?
8. What fraction of a day is 6 hours?
9. If I study for 45 minutes, what fraction of an hour is that?
10. How many minutes are in 1/3 of an hour?

Medium Level Questions

11. If I jog for 1 hour and 15 minutes, what fraction of a day is that?
12. Convert 50 minutes into a fraction of an hour.
13. If I sleep for 10 hours, what fraction of a day is that?
14. If I watch TV for 90 minutes, what fraction of an hour is that?
15. What fraction of an hour is 25 minutes?
16. If I spend 35 minutes doing homework, what fraction of an hour is that?
17. How many minutes are in 2/3 of an hour?
18. If I read for 1 hour and 30 minutes, what fraction of a day is that?
19. Convert 15 minutes into a fraction of a day.
20. What fraction of an hour is 55 minutes?

Hard Level Questions

21. If I spend 2 hours and 30 minutes studying, what fraction of a day is that?
22. Convert 2 hours into minutes and then find that as a fraction of a day.
23. If I attend a class for 75 minutes, what fraction of an hour is that?
24. What fraction of a day is 18 hours?
25. If I run for 150 minutes, what fraction of an hour is that?
26. Convert 3 hours and 45 minutes into a fraction of a day.
27. If I spend 1 hour and 10 minutes on a project, what fraction of an hour is that?
28. Convert 120 minutes into a fraction of a day.
29. If I work for 2 hours, what fraction of a day is that?
30. If I exercise for 1 hour and 50 minutes, what fraction of a day is that?

Answers and Explanations

Easy Level Answers

1. 30 minutes
2. $$\frac{1}{2}$$
3. $$\frac{1}{2}$$
4. $$\frac{1}{4}$$
5. $$\frac{1}{3}$$
6. 15 minutes
7. $$\frac{1}{12}$$
8. $$\frac{1}{4}$$
9. $$\frac{3}{4}$$
10. 20 minutes

Medium Level Answers

11. $$\frac{1}{2}$$
12. $$\frac{5}{6}$$
13. $$\frac{5}{12}$$
14. $$\frac{3}{2}$$
15. $$\frac{5}{12}$$
16. $$\frac{7}{12}$$
17. 40 minutes
18. $$\frac{1}{2}$$
19. $$\frac{1}{24}$$
20. $$\frac{11}{12}$$

Hard Level Answers

21. $$\frac{1}{6}$$
22. 120 minutes, $$\frac{5}{12}$$
23. $$\frac{5}{4}$$
24. $$\frac{3}{4}$$
25. $$\frac{5}{4}$$
26. $$\frac{7}{24}$$
27. $$\frac{7}{6}$$
28. $$\frac{1}{12}$$
29. $$\frac{1}{12}$$
30. $$\frac{37}{72}$$

Now you have all the tools to understand and practice time as fractions. Keep practicing, and soon you’ll be a pro at it!