Year 6 Exam > Year 6 Notes > Year 6 Mathematics > Divide fractions by integers
Divide fractions by integers | Year 6 Mathematics PDF Download
Dividing Fractions by Integers
- When dividing fractions by a whole number, divide the numerator by the whole number while keeping the denominator the same.
Examples
Example 1: There is 9/10 of a pizza left and we need to share it equally between 3 people.
As a fraction, how much pizza will each person receive?
As a calculation this is 
Let's take a look at this problem visually.
We started with 9/10 and then shared out the 9/10 to 3 people.
9 ÷ 3 = 3 so each person gets
Another way to work this out without using a diagram is to divide the numerator by the whole number and keep the denominator the same.
Example 2: This jug of juice is 4/5 full and we need to share it out between two cups.
How much will be in each cup?
The calculation is 
We know that 4 ÷ 2 = 2 so we can use that knowledge here.
You can visualise what 4/5 looks like with these bar models and how that is split between two.
To work this out without using images we divide the numerator by the whole number and keep the denominator the same.
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FAQs on Divide fractions by integers - Year 6 Mathematics
| 1. How can fractions be represented on a number line? |  |
Ans. Fractions can be represented on a number line by dividing the line into equal parts according to the denominator of the fraction. The numerator then indicates how many parts of the whole are being represented.
| 2. Can fractions be divided by integers? | |
Ans. Yes, fractions can be divided by integers. To do this, you simply need to divide the numerator of the fraction by the integer.
| 3. How are fractions divided by integers on a number line? | |
Ans. To divide a fraction by an integer on a number line, you would first represent the fraction on the number line. Then, divide the length of the fraction by the integer to determine the new length on the number line.
| 4. Why is it important to understand how to divide fractions by integers on a number line? | |
Ans. Understanding how to divide fractions by integers on a number line is important because it helps visualize the concept of dividing fractions, making it easier to comprehend and apply in various mathematical problems.
| 5. What are some real-life applications of dividing fractions by integers on a number line? | |
Ans. Real-life applications of dividing fractions by integers on a number line include recipe measurements, calculating distances on a map, and determining time intervals. It helps in understanding and solving everyday problems involving fractions and integers.
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Sep 05, 2025
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