How To Get The Equivalent Fractions – Equivalent fractions can have different numerators and denominators, but represent the same value or ratio of a whole.
Let’s quickly review how to create equivalent fractions and simplify them using the two examples below.
How To Get The Equivalent Fractions
And the way to get a common denominator is to create fractions that have the same part as the whole, as the Monterey Institute notes.
Equivalent Fractions: Definition And Examples
The good thing is that LCD uses the same process to find the Least Common Multiple (LCM), but only for the denominators. This means we already know what to do.
Fortunately, we have already converted these two fractions to their equivalent fractions of 5/20 and 8/20 after finding the common denominator, so now we only need to examine their numerators.
Since 5 is less than 8, we know that 5/20 is less than 8/20, which means 1/4 is less than 2/5.
Best Equivalent Fractions Chart Printable
First, you want to convert a mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator, then follow the steps above.
First, we write the mixed number 5 and 1/2 as an improper fraction of 11/2 using the technique learned in our Improper Fraction Mixed Numbers video.
We then find the LCD by first finding the LCM of our denominators to create the common denominator.
Pdf Online Activity: Equivalent Fractions
And since 28 is less than 33, then 28/6 is less than 33/6, which means 14/3 is less than 5 and 1/2.
In the video below, we’ll look at more examples of how to find the lowest common denominator to compare fractions, how to order fractions from smallest to largest, and some useful tricks and tips. Fractions are one. Key foundational topics in math and students need to understand how to perform operations with fractions, such as adding and subtracting fractions and multiplying fractions. However, before students can understand fractions at an advanced level, it is important that they have a thorough understanding of equivalent fractions.
In real life, we often deal with different values that can be considered equivalent or equal to each other. For example, we know that 60 minutes equals 1 hour, and we also know that 16 ounces equals one pound. In each case, the same time or weight is expressed in two different ways that are interchangeable.
Thursday 7th May
This idea of expressing two equal values in different ways is similar to the mathematical equivalent of fractions.
This complete guide to equivalent fractions provides a step-by-step guide to understanding and finding equivalent fractions.
Equivalent fractions are the reason why if you (A) MULTIPLY or (B) divide the numerator (top) and denominator (bottom) of each fraction by the same number, the fraction does not change. (If this idea is hard to grasp, the images below will help.)
Finding Equivalent Fractions
The fraction table can also be used as a visual aid for understanding and identifying equivalent fractions.
To find equivalent fractions by division, follow the same steps as for multiplication, but note the following key points:
If you’re not sure whether or not two fractions are equivalent, there’s a simple shortcut involving multiplication that you can use as a test.
What Are Equivalent Fractions? Explained For Primary School
To determine the cross products of two fractions, multiply the top of the first fraction by the bottom of the second fraction, and the bottom of the first fraction by the top of the second fraction.
To see if 4/5 and 12/15 are equivalent to each other, you need to start by finding the cross products.
Again, multiply the top of the first fraction by the bottom of the second fraction, and the bottom of the first fraction by the top of the second fraction as follows:
What Are Equivalent Fractions And Simplifying Fractions?
From this we can conclude that 4/5 and 12/15 are equivalent fractions because their cross products are the same.
As in the previous example, you can check if two fractions are equivalent by finding the cross products as follows:
From this we can conclude that 4/7 and 6/12 are NOT equivalent fractions because their cross products are NOT the same.
Equivalent Fractions Exercise For 3
Watch the video lesson below to learn more about equivalent fractions and ratios and more free practice problems. Equivalent fractions are common in KS2 maths and some children, parents and even primary school teachers can be unsure of what they are. what they are and how to find them. This article aims to make things a little clearer.
Equivalent fractions are two or more fractions that are all equal even though they have different numerators and denominators. For example, the fraction 1/2 is equal to (or equal to) 25/50 or 500/1000.
Remember that a fraction is part of a whole; the denominator (the bottom number) shows how many equal parts the whole is divided into; the numerator (upper number) represents the number of given parts.
Find Out 4 Equivalent Fractions Of Each Of The Following Fractions:(1) 2/3 (2) 3/4 (3) 3/5 (4) 5/6
If the concept of equivalent fractions already seems a bit confusing and you are still not clear about the difference between whole numbers, denominators of a fraction and different numerators, you can return to our “fractions for kids” article.
It breaks down the first steps that children in Key Stages 1 and 2 will need to take at school into fractions and gives clear examples of how to determine the value of a fraction using concrete resources, maths manipulatives, pictorial representations and number lines. ; the difference between unit fractions and non-unit fractions; into proper and improper fractions.
A guide for children and parents to work together in digestible chunks.
Find The Equivalent Fraction Of (3)/(5) Having (i) Denominater 30 (ii) Numerator 24
Download these FREE Understanding and Comparing Fractions worksheets for Year 3 students, designed to help students apply what they’ve learned independently.
Here are some examples of equivalent fractions that use the linear model and show the “parts” that each numerator refers to from the “whole,” that is, the denominator.
Although 8/12 may look like another fraction, it is actually equal to 4/6 because eight of 12 equals four of six, as shown below:
Ex 7.3, 9
The three fractions 2/3, 4/6 and 8/12 are represented in the fraction wall to show their equivalence.
To calculate equivalent fractions, the numerator and denominator of the fraction must be multiplied by the same number. That means you’re actually multiplying by 1, and we know that multiplying by 1 doesn’t change the original number, so the fraction will be equivalent.
Another way to find equivalent fractions is to divide the numerator and denominator of the fraction by the same number. these are called simplifying fractions because both the numerator and denominator digits are reduced.
Visual Equivalent Fractions Game Printable {free}
For example, to simplify the fraction 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 equivalent fractions, and 3/4 is the fraction in its simplest form.
The concept of equivalent fractions is only introduced in Year 3, where children recognize and use diagrams to illustrate equivalent fractions with small denominators.
How To Make Teaching Equivalent Fractions A Success
In Year 4, families of common equivalent fractions are identified and represented. The non-prescriptive National Curriculum guidance also advises pupils to use factors and multiples to recognize equivalent fractions and simplify them where necessary (eg 6/9 = 2/3 or ¼ = 2/8).
In Year 5, students are taught to identify, name and describe the equivalent fractions of a given fraction, represented visually, including tenths and hundredths.
In Year 6 they begin to add and subtract fractions with different denominators and mixed numbers using the concept of equivalent fractions. Non-prescriptive guidance for Year 6 suggests that common factors can be linked to finding equivalent fractions and that children do calculations using simple fractions… including listing equivalent fractions to identify fractions with a common denominator.
Find The Equivalent Fraction Of (36)/(48) With: (a) Numerator 9 (b) Denominator 4
Children need a good understanding of equivalent fractions to be able to convert between fractions, decimals and percentages. In the case of equivalent fractions, it is also important to know the times tables, the least common multiple and the highest common factor.
Wondering how to explain other basic math vocabulary to your kids? Check out our basic math glossary or try other terms for equivalent fractions:
(The answer is yes – that would be 2/6 (imagine the middle square is also halved) which = 1/3)
Equivalent Fractions Online Pdf Exercise For 3
Equivalent fractions are fractions that may look different but actually represent the same quantity. 2/3 and 6/9 are examples of equivalent fractions.
Equivalent fractions can be explained as fractions that have different numerators and denominators but represent the same value.
For more equivalent fraction worksheets and math resources, visit the Third Space Learning Maths Hub. Download it for free:
Activities To Practice Equivalent Fractions In Third Grade
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