What Is The Fraction Of 36 – Equivalent fractions can be defined as fractions that may have different numerators and denominators, but which represent the same value. For example, 9/12 and 6/8 are equivalent fractions because they both simplify to 3/4.
All equivalent fractions reduce to the same fraction in their simplest form, as seen in the example above. Review the lesson to get a better idea of how to find equivalent fractions and how to check that given fractions are equal.
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Two or more fractions are considered equivalent if they equal the same fraction when simplified. For example, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which when simplified result in the same fraction, namely 1/5.
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Equivalent fractions are defined as fractions that have the same value regardless of their numerators and denominators. For example, 6/12 and 4/8 are the same as 1/2 when simplified, meaning they are similar in nature.
Example: 1/2, 2/4, 3/6, and 4/8 are equivalent fractions. Let’s see how their values are equal. Let’s think of each of these fractions as circles with shaded parts. It can be seen that the shaded parts in all the figures represent the same part when viewed as a whole.
Here we see that the amount of the shaded part is the same in all the circles. Therefore, 1/2, 2/4, 3/6, and 4/8 are equivalent fractions.
Equivalent fractions can be written by multiplying or dividing the numerator and denominator by the same number. This is why these fractions reduce to the same number when simplified. Let’s understand the two ways we can create equivalent fractions:
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To find equivalent fractions of any given fraction, multiply the numerator and denominator by the same number. For example, to find the equivalent fraction 3/4, multiply the numerator 3 and the denominator 4 by the same number, say 2. Therefore, 6/8 is the equivalent fraction 3/4. Other equivalent fractions can be found by multiplying the numerator and denominator of the given fraction by the same number.
To find equivalent fractions for a given fraction, divide the numerator and denominator by the same number. For example, to find the equivalent fraction 72/108, we first find their common factors. We know that 2 is a common factor of 72 and 108. Therefore, the equivalent fraction of 72/108 can be found by dividing its numerator and denominator by 2. Therefore, 36/54 is the equivalent fraction of 72/108 . Let’s see how the fraction is simplified:
Therefore, some equivalent fractions of 72/108 are 36/54, 18/27, 6/9, and 2/3. Here, 2/3 is a simplified form of 72/108 because there is no common factor (other than 1) in 2 and 3.
We need to simplify the given fractions to see if they are equivalent or not. Simplification to obtain equivalent numbers can be done at the point where the numerator and denominator must be whole numbers. There are different methods for determining whether given fractions are equal. Some of them are as follows:
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The denominators of the fractions 2/6 and 3/9 are 6 and 9. The least common multiple (LCM) of the denominators 6 and 9 is 18. Let’s make the denominators of both fractions 18 by multiplying them by the appropriate numbers. .
We can observe that both fractions are equal to the same fraction 6/18. The given fractions are therefore equivalent.
Note: If the fractions are NOT equal, we can check for a larger or smaller fraction by looking at the numerator of the two resulting fractions. Therefore, this method can also be used to compare fractions.
Find the decimal form of the two fractions 2/6 and 3/9 to see if they give the same value.
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To find out if 2/6 and 3/9 are equal, we cross-multiply them. If the products are the same, the fractions are the same.
Let’s imagine each of the fractions 2/6 and 3/9 as figuratively the same shapes and check if the shaded parts of both are the same.
We can see that the shaded parts of the two circles show the same value. In other words, it can be seen that the shaded parts of the two images represent the same part when viewed as a whole. The given fractions are therefore equivalent.
Graphs and tables are often used to better illustrate concepts because they serve as a handy reference for calculations and are easier to understand. Anchor charts and tables, such as the one below, make it easier for students to understand equivalent fractions. Let’s use the following chart to find equivalent fractions of 1/4.
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Two or more fractions are considered equivalent fractions if they are equal to the same value regardless of their numerators and denominators. For example, 2/4 and 8/16 are equivalent fractions because they reduce to 1/2 when simplified.
There are many examples of equivalent fractions, such as 8/12 and 6/9 are equivalent fractions because they reduce to the same fraction (2/3) when simplified. Similarly, 4/7 and 28/49 are also equal fractions.
If the given fractions are simplified and reduced to a common fraction, they can be called equivalent fractions. Additionally, there are various methods for determining whether given fractions are equal or not. Some of them are as follows:
If two fractions are equal, it means that they have the same value despite different numerators and denominators. In other words, if they simplify, they reduce to the same fraction.
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Equivalent fractions help us add, subtract, multiply, divide fractions and compare fractions which help us solve many problems in real time.
An equivalent improper fraction means an equivalent fraction in improper form. A fraction is considered improper if its numerator is greater than the denominator. For example, 3/2 is an improper fraction equal to 9/6.
Any two fractions can be considered equivalent if they have the same value. There are different methods for determining whether fractions are equal. The basic method is to reduce it. If they are reduced by the same fraction, they are considered equivalent.
Equivalent fractions can be written by multiplying or dividing the numerator and denominator by the same number. This is why these fractions reduce to the same number when simplified. For example, let’s write the fractional equivalent of 2/3. We multiply the numerator and denominator by 4 and get (2 × 4)/(3 × 4) = 8/12. Therefore, 8/12 and 2/3 are equivalent fractions.
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To write the equivalent fraction 6/8, we multiply the numerator and denominator by 2 to get (6 × 2)/(8 × 2) = 12/16. Therefore, 6/8 and 12/16 are equivalent fractions. Now let’s get another fraction equal to 6/8 by dividing by a common number, say 2. After dividing the numerator and denominator by 2, we get (6 ÷ 2)/(8 ÷ 2 ) = 3 /4 . Therefore, 6/8 and 3/4 are equivalent fractions.
To find equivalent fractions of 1/4, we multiply the numerator and denominator by the same number. So we multiply that by 2, which is (1 × 2)/(4 × 2) = 2/8. Now, to find another fraction equivalent to 1/4, we multiply it by 3. This gives (1 × 3)/(4 × 3) = 3/12. So we get two equivalent fractions for 1/4, which are 2/8 and 3/12.
Two or more fractions are considered equivalent if they equal the same fraction when simplified. For example, the equivalent fractions of 1/6 are 2/12, 3/18, and 4/24, which when simplified result in the same fraction, namely 1/6.
To find equivalent fractions of 2/3, we multiply the numerator and denominator by the same number. So we multiply that by 5, which is (2 × 5)/(3 × 5) = 10/15. Now, to find another equivalent fraction of 2/3, we multiply it by 6. This gives (2 × 6)/(3 × 6) = 12/18. So we get two equivalent fractions for 2/3, which are 10/15 and 12/18.
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To find equivalent fractions of 1/3, we multiply the numerator and denominator by the same number. We multiply that by 2, which is (1 × 2)/(3 × 2) = 2/6. Now, to find another fraction equivalent to 1/3, we multiply it by 3. This gives (1 × 3)/(3 × 3) = 3/9. So we get two equivalent fractions for 1/3, which are 2/6 and 3/9.
To find equivalent fractions of 3/4, we multiply the numerator and denominator by the same number. So we multiply that by 2, which is (3 × 2)/(4 × 2) = 6/8. Now, to find another equivalent fraction of 3/4, we multiply it by 3.
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