Year 3 Exam > Year 3 Notes > Year 3 Mathematics > Equivalent fractions
Equivalent fractions | Year 3 Mathematics PDF Download
| Table of contents |
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| Using a fraction wall |
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| Using multiplication |
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| Using multiplication and division |
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| Using a numberline |
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Using a fraction wall
How can we create a fraction that is equivalent to ½?
A fraction consists of a top number called the numerator and a bottom number called the denominator.
In the fraction ½, the denominator indicates that the whole is divided into 2 equal parts.
By looking at a fraction wall, you can see that 1/2 is equal to 2/4 and also equal to 3/6.
Using multiplication
You can verify if fractions are equivalent by using multiplication.
Observe the following calculations and see if you notice a pattern.
To create an equivalent fraction, multiply both the numerator and the denominator by the same number, and the new fraction will be equivalent to the original fraction.
Question for Equivalent fractionsTry yourself: Which fraction is equivalent to 1/2?View Solution
Using multiplication and division
You can also use division to find equivalent fractions. What about this fraction? Can you solve it?
We divided the denominator 10 by 2 to get 5, so we also need to divide the numerator 6 by 2 to get 3.
Each time, multiply or divide the denominator and the numerator by the same number to find the equivalent fraction.
Using a numberline
We can verify this on a number line. As shown, 2/10 is equivalent to 1/5, and 1/5 is equivalent to 2/10./
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FAQs on Equivalent fractions - Year 3 Mathematics
| 1. How can a fraction wall be used to help understand equivalent fractions? |  |
Ans. A fraction wall can be used to visually represent fractions and their relationships. By using a fraction wall, students can see how different fractions are related to each other and easily identify equivalent fractions.
| 2. How can multiplication be used to find equivalent fractions? | |
Ans. Multiplication can be used to find equivalent fractions by multiplying the numerator and denominator of a fraction by the same number. This allows the fraction to be expanded or simplified while maintaining its value.
| 3. How does division help in finding equivalent fractions? | |
Ans. Division can be used to find equivalent fractions by dividing both the numerator and denominator of a fraction by the same number. This process simplifies the fraction while maintaining its value, resulting in an equivalent fraction.
| 4. How can a numberline be used to represent equivalent fractions? | |
Ans. A numberline can be used to represent equivalent fractions by placing fractions at different points along the line. By comparing the positions of different fractions on the numberline, students can visualize how they are related and identify equivalent fractions.
| 5. How are equivalent fractions taught in UK schools? | |
Ans. Equivalent fractions are taught in UK schools using a variety of visual aids, such as fraction walls and numberlines, to help students understand the concept. Teachers also use multiplication and division to show how fractions can be expanded or simplified to find equivalents.
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Dec 22, 2024 Last updated |
Document Description: Equivalent fractions for Year 3 2024 is part of Year 3 Mathematics preparation.
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