Year 4 Exam > Year 4 Notes > Year 4 Mathematics > Equivalent fractions
Equivalent fractions | Year 4 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.
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.
Question for Equivalent fractionsTry yourself: What is an equivalent fraction for 3/4?View Solution
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FAQs on Equivalent fractions - Year 4 Mathematics
| 1. What is a fraction wall and how is it used in mathematics? |  |
Ans. A fraction wall is a visual representation of fractions that helps students understand the relationship between different fractions. It is used in mathematics to compare fractions, identify equivalent fractions, and perform operations like addition and subtraction with fractions.
| 2. How can multiplication be used with a fraction wall? | |
Ans. Multiplication can be used with a fraction wall by multiplying the numerator and denominator of a fraction by the same number to find an equivalent fraction. This helps in simplifying fractions and understanding the concept of scaling.
| 3. How can multiplication and division be utilized with a fraction wall? | |
Ans. Multiplication and division can be used with a fraction wall to find equivalent fractions by multiplying or dividing both the numerator and denominator of a fraction by the same number. This helps in comparing fractions and performing operations with fractions.
| 4. How can a number line be used to understand equivalent fractions? | |
Ans. A number line can be used to understand equivalent fractions by placing fractions on the number line and comparing their positions. Equivalent fractions will be at the same point on the number line, helping students visualize the concept of equivalent fractions.
| 5. What are some examples of equivalent fractions that can be easily understood using a fraction wall? | |
Ans. Examples of equivalent fractions that can be easily understood using a fraction wall include 1/2 and 2/4, 3/4 and 6/8, and 2/3 and 4/6. By visually representing these fractions on a fraction wall, students can see how they are equivalent and understand the concept better.
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Oct 31, 2024 Last updated |
Document Description: Equivalent fractions for Year 4 2024 is part of Year 4 Mathematics preparation.
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