Equivalent Fractions To 3 8 – Fractions is one of the most important foundational topics in mathematics and students need to know how to perform operations with fractions such as addition and subtraction of fractions and multiplication of fractions. But before students can understand fractions at an advanced level, it is very important that they have a solid understanding of equivalent fractions.
In real life, we often deal with different values that may be considered equal or equivalent to each other. For example, we know that 60 minutes is equal to 1 hour and we also know that 16 ounces is equal to one pound. In any case, we express the same time or difficulty in two different ways that are interchangeable.
Equivalent Fractions To 3 8
This idea of expressing two equal values is similar in different ways in mathematics when it comes to equal fractions.
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This Complete Guide to Equivalent Fractions will provide step-by-step instructions on how to understand and find equivalent fractions.
The reason is that they are equal fractions. When you (A) multiply or (B) divide each fraction’s numerator (above) and quotient (below) by the same number, the fraction does not change. (If this concept is difficult to understand, the images below will help!).
You can use a fraction chart as a visual aid to help you understand and identify equivalent fractions.
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To find equivalent fractions by division, follow the same steps as for multiplication, but keep the following key points in mind:
If you’re not sure whether two fractions are equal or not, there’s a simple shortcut involving multiplication that you can use as a test.
To find the product 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.
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To see if 4/5 and 12/15 are equal to each other, you need to start by finding the cross products.
Again, multiply the top of the first part by the bottom of the second part and the bottom of the first part by the top of the second part as follows:
Therefore, we can conclude that 4/5 and 12/15 are equal parts because the products are the same.
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As in the last example, you can test whether two fractions are equal by finding the cross products as follows:
Therefore, we can conclude that 4/7 and 6/12 are not equal fractions because their products are not the same.
To learn more about equal fractions and ratios and for free practice problems, watch the video lesson below: Here you’ll find a selection of free fraction information cards to help your child learn their fraction facts for eighth grade and Learn their percent and decimal equivalents.
The Significance Of Understanding Equivalent Fractions
On each information card, you’ll find a complete worksheet about the given fraction, including examples of shaded shapes with the given fraction and showing where the fraction is on the number line.
Where a digit is stored, it means that the number has been rounded to 3 decimal places or to the nearest 0.1%.
Here you will find a selection of different information cards designed to help your child learn fractions.
Examples: 3/5 + 4/5 = 2/3 + 5/8 = 1 2/3 + 2 ¾ = 5/7
Here you will find a selection of puzzle pieces designed to help your child understand their fraction units.
Using fraction strips is a great way to learn fraction facts and help you understand exactly what a fraction is worth.
They are also a great resource for equal fractions and can visually show children that one-half is the same as two-quarters or three-sixths.
Solution: 4 Nf A 1 Equivalent Fractions Using Visual Models
These puzzles are a great way to start a math lesson or to use as a way to test your child’s understanding of the gaps.
All puzzles consist of 3 or 4 clues and have a choice of 6 or 8 possible answers. Children must read the clues and find the correct answer.
The puzzles can also be used as a template for children to write their own clues for their friends to guess.
Equivalent Fractions: Definition And Examples
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Equivalent Fractions Interactive Exercise
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If you are a regular user of our site and appreciate what we do, please make a small donation to help with our costs. According to the concept of equal fractions, two or more fractions are said to be equal if their results simplify to give the same fraction for both. When two fractions, such as a/b and c/d, are simplified to give an equivalent fraction, such as e/f, it is called
Prompt 34: Finding Equivalent Fractions
For example, 5/15 is a fraction equal to 1/3 because, if we simplify 5/15, the resulting fraction is still the same.
Equivalent fractions are fractions where the numerator and denominator are different, but represent the same value. For example, 5/4 and 30/24. Both have different numerators and denominators but represent the same value, such as 5/4 or 1.25.
Equivalent fractions are fractions that represent the same values when reduced to the simplest form of fractions. As shown above, 30/24 can be further simplified as 15/12, which can be further simplified as 5/4.
Fall Equivalent Fractions Worksheet
Notice the circle divided into two parts, as shown below. If you divide the circle into several parts, the shaded part still shows the same fractional value. If viewed as a whole, the shaded areas represent the same equivalent areas as the first area.
So ½ is equal to 2/4, 3/6, 4/8 etc., so ½, 2/4, 3/6 and 4/8 will be equal fractions.
You may have come across the method of multiplying the numerator and denominator by the same number to make them equal for addition or subtraction. The same method should be applied here, but in a different way.
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Equivalent fractions can be determined by multiplying or dividing the numerator and denominator by the same number. Let’s learn more about these two methods.
You must multiply both the numerator and the denominator by the same number to make the fraction equal. For example, to make equal parts of ⅚, you must multiply the numerator and denominator by the same number. The number can be anything from 2 to infinity.
However, the value must be positive. Otherwise, the partial value will be negative. If you take one number positive and another negative, the result will be negative. If you take both values as negative and multiply them by the numerator and denominator, the value will be positive because the negative terms will cancel each other out.
Pre Unit 5.2: Comparing & Ordering Fractions
Now let’s make 5/6 equal parts. Multiply the numerator and denominator by numbers greater than 2. Therefore, the equivalent fraction can be expressed as follows:
Another is to use the sharing method. If the fractional value is large and you need to find its equal parts, you should use the division method. For example, 56/84 is a large fraction. So you have to use sharing method as shown below.
The first step is to find the common factor between these numerators and denominators. The smallest number, for starters, is 2, and 56 and 84 are divisible by 2.
Equivalent Fractions Warm Up List The Factors Of Each Number Ppt Download
Therefore, the number now becomes 28/42. If you divide this number by 2, the quotient becomes 14/21. Finally, the numerator and denominator are divisible by 7. So the smallest equal part of 56/84 is ⅔.
To be successful with this method, you need to know the factors of different numbers in order to quickly find simple equivalent fractions.
To determine whether two fractions are equal, you can use two methods – make their numerator and denominator equal, or use the cross-multiplication method.
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Similarly, you can use the sharing method. You can see that the numerator and denominator of 2/6 are divisible by 2, and the numerator of 3/9 is divisible by 3. So, the common denominator will be ⅓ in both expressions, which means they are equal.
Let’s try to find an equivalent fraction using the cross multiplication method. In the example above, 2/6 and 3/9 are given. In this method, you must multiply the numerator and the denominator. If you get the same value, then the parts are equal. For example, 2 will be multiplied by 9 and 6 will be multiplied by 3. So in both cases you get 18, which means these parts are equal.
Similarly, taking another example of ⅘ and 16/20. Multiply the numerator and denominator of these fractions. You will get 4 x 20 and 5 x 16. Both operations will yield 80, indicating that these parts are equal.
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Solution: To find the denominator of the following terms, you must use the multiplication method and multiply