How To Calculate Equivalent Fractions

How To Calculate Equivalent Fractions – Equivalent fractions are very common in KS2 maths and some children, parents and even primary school teachers can be a little unsure of what they are and how to find them. The purpose of this article is to clarify things a little.

Equivalent fractions are two or more fractions that are all the same even though the numerator and denominator are different. For example, the fraction 1/2 is equal to (or equal to) 25/50 or 500/1000.

How To Calculate Equivalent Fractions

How To Calculate Equivalent Fractions

Remember, a fraction is a part of a whole: the denominator (the bottom number) represents how many equal parts the whole is divided into; The numerator (top number) represents the number of these parts.

Convert Fractions To Decimals Using Equivalent Fractions Worksheets (examples, Solutions, Videos, Activities)

If the concept of equal fractions seems a little confusing and you’re not clear on the difference between whole numbers, fractions, and fractions, you might want to go back to our kids’ articles on fractions.

How To Calculate Equivalent Fractions

It breaks down the first steps in fractions that Key Stage 1 and Key Stage 2 children should take at school, with clear examples of how to find the values ​​of fractions using concrete resources, arithmetic manipulations, pictorial representations and number lines. the difference between unit fractions and non-unit fractions; To correct the correct and incorrect parts.

It is written as a guide for children and parents to work together in digestible chunks.

How To Calculate Equivalent Fractions

Equivalent Fractions Worksheet

Download this free Understanding and Comparing Fractions worksheet for Year 3 students, which aims to help students independently practice what they learn.

Here are some examples using the equal difference bar model and showing the ‘part’ of each number out of the ‘whole’ i.e. the denominator.

How To Calculate Equivalent Fractions

Although 8/12 looks like different parts, it is actually the same as 4/6 because eight parts out of 12 are equal to four parts out of six, as shown below:

Equivalent Fraction Visually (video)

Three divisions 2/3, 4/6 and 8/12 are shown on the division wall below to show their equivalence.

How To Calculate Equivalent Fractions

To calculate equivalent fractions, multiply the numerator and denominator of a numerator by the same number. What that means is the fact that you multiply by 1, and we know that multiplying by 1 doesn’t change the original number, so the quotient is the same.

Another way to find equivalent fractions is to divide the numerator and denominator of the difference by the same number – this is called simplifying the fraction, because the numerator and denominator numbers will be smaller.

How To Calculate Equivalent Fractions

Converting Between Fractions, Decimals And Percentages

For example, to simplify the division 9/12, find a number that divides both the numerator and the denominator (also known as a ‘common factor’), such as 3.

9/12 ÷ 3/3 = 3/4, so 9/12 and 3/4 are equal fractions, and 3/4 is a fraction in simplest form.

How To Calculate Equivalent Fractions

The concept of equal fractions is not introduced until Year 3, where children identify and represent, using diagrams, equal fractions and smaller denominators.

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In Year 4, they will identify and show, using diagrams, families of equivalent fractions. The National Curriculum non-statutory guidelines also recommend that students use factors and multiples to identify equal fractions and simplify where appropriate (for example, 6/9 = 2/3 or ¼ = 2/8).

How To Calculate Equivalent Fractions

In Year 5, students learn to identify, name and write equivalent fractions of given fractions, including tenths and hundredths, decimals and fractions representing decimals.

In Year 6, they will begin to add and subtract fractions with different denominators and mixed numbers, using the concept of equal fractions. Informal guidance for Year 6 shows that common factors can be related to finding equivalent fractions and children do calculations using simple fractions…

How To Calculate Equivalent Fractions

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Children should have a strong understanding of equivalent fractions in order to convert between fractions, decimals and percentages. Knowledge of the times table, least common multiple and greatest common factor are also essential for equal parts.

Worried about explaining other important math words to your kids? Check out our basic math dictionary, or try similar categories for other terms:

How To Calculate Equivalent Fractions

(Answer: Yes – it will be 2/6 (imagine dividing the middle square in half) which = 1/3)

What Are Equivalent Fractions And Simplifying Fractions?

Equivalent fractions are fractions that are different but actually represent the same quantity. 2/3 and 6/9 are examples of equivalent fractions.

How To Calculate Equivalent Fractions

Equivalent fractions can be defined as fractions that have different numerators and denominators but represent the same value.

If you’re looking for more equivalent fraction worksheets and math resources, visit the Third Space Math Learning Hub. Also download for free:

How To Calculate Equivalent Fractions

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Every week, Third Space Learning’s expert math tutors help thousands of primary school children with weekly online 1-to-1 lessons and math interventions. Since 2013 we have helped more than 150,000 children become more confident, competent mathematicians. Learn more or request a personalized quote Tell us about your needs and how we can help.

Sophie teaches a mixed-age class in a small school in central England. He’s a self-confessed grammar pedant and numbers nerd, so we welcome him as a regular writer and editor for Third Space Teaching.

How To Calculate Equivalent Fractions

10 questions for each year group of increasing difficulty, and challenging questions to advance students beyond their basic understanding of percentages and decimals and into mastery.

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How To Calculate Equivalent Fractions

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How To Calculate Equivalent Fractions

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Any cookies that are not specifically necessary for the website to function and are specifically used to collect user personal data for analytics, advertising, other posted content are called non-essential cookies. User consent must be obtained before running these cookies on your website. Here are some helpful tips to help you learn what equivalent fractions are and how to find equivalent fractions.

We also have a page of equivalence worksheets to help you practice and demonstrate your understanding of these concepts.

How To Calculate Equivalent Fractions

At the bottom of this page, there are also three printable resource sheets that explain equivalent components in a little more detail.

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Being able to find equivalent fractions is really important to know before you try to add or subtract fractions with different fractions.

How To Calculate Equivalent Fractions

Half price half everything. If we divide each half into two equal parts, we end up with a quarter or a whole divided into 4 equal parts.

Each half is divided into two quarters (as the 4 shaded sections are two halves), so we have the same fraction:

How To Calculate Equivalent Fractions

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If we divide each half into three equal pieces instead of 2, we get 3 shaded strips (the numerator) out of a total of 6 strips (the denominator), giving a three-sixth part.

We can repeat this by dividing the same half into 4, 5, 6, etc., finally:

How To Calculate Equivalent Fractions

This also makes sense in context, for example, if you get a 5 out of 10, or five tenths, on a spelling test, then you will have half the answers correct and half incorrect.

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If we divide each third into two equal parts, we get a total of 6 pieces and 4 shaded pieces, so we now have 4 of 6 shaded instead of 2 of 3.

How To Calculate Equivalent Fractions

In other words, we have doubled the number of shaded parts (the numerator) as well as doubled the total number of parts (the denominator).

Again, this can be repeated and two-thirds can be divided into several equal parts.

How To Calculate Equivalent Fractions

Adding And Subtracting Fractions (w/ 21+ Examples!)

Each time a fraction is divided, both the denominator and the numerator are multiplied by the dividend. This gives us equal rewards.

In other words, if you multiply the numerator and denominator by the same number, you get the same (or equal) fraction.

How To Calculate Equivalent Fractions

And using the same logic, if we divide the numerator and denominator by the same number, you get the same quotient.

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We learned that if you multiply or divide the numerator and denominator of a denominator by the same number, you get the same quotient.

How To Calculate Equivalent Fractions

If you want to see all this in more detail, please print the 3 sheets below that will tell you what you need to know about equivalent fractions.

Using Equivalent Fractions Strips is a great way to learn your fractions facts and help you understand how much a fraction is visually worth.

How To Calculate Equivalent Fractions

What Is The Greatest Common Factor And Least Common Multiple?

Here you will find a selection of similar fraction worksheets

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