What Fraction Is Equal To 8/12 – Equivalent fractions can be defined as fractions that may have different numerators and denominators, but represent the same value. For example, 9/12 and 6/8 are equivalent fractions because they both equal 3/4 when simplified.

All equivalent fractions reduce to the same fraction in their simplest form, as shown in the example above. Explore the lesson to get a better idea of how to find equivalent fractions and how to check if given fractions are equivalent.

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What Fraction Is Equal To 8/12

Two or more fractions are called equivalent if they are equal to the same simplified fraction. For example, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which simplify to give the same fraction as 1/5.

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Equivalent fractions are defined as those fractions that have the same value regardless of their numerators and denominators. For example, both 6/12 and 4/8 are equal to 1/2 when simplified, meaning they are equivalent in nature.

Example: 1/2, 2/4, 3/6 and 4/8 are equivalent fractions. Let’s see how their values are equal. We will present each of these fractions as circles with shaded parts. It can be seen that the shaded parts throughout the figures represent the same part when viewed as a whole.

Here we can see that the amount of the shadow part is the same in all the circles. Thus, 1/2, 2/4, 3/6, and 4/8 are equivalent fractions.

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To find equivalent fractions for a given fraction, multiply the numerator and denominator by the same number. For example, to find an equivalent fraction of 3/4, multiply the numerator 3 and the denominator 4 by the same number, such as 2. Therefore, 6/8 is an equivalent fraction of 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 an equivalent fraction of 72/108, we would first find their common factors. We know that 2 is a common factor of 72 and 108. Therefore, an equivalent fraction of 72/108 can be found by dividing its numerator and denominator by 2. Thus, 36/54 is an equivalent fraction of 72/108. Let’s see how the fraction is further simplified:

Therefore, some equivalent fractions of 72/108 are 36/54, 18/27, 6/9, and 2/3. Here, 2/3 is the simplified form of 72/108 since there is no common factor (other than 1) of 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 to the point where the numerator and denominator must still be whole numbers. There are different methods to identify if given fractions are equivalent. 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. We make the denominators of both fractions 18 by multiplying them by appropriate numbers.

We can notice that both fractions are equivalent to the same fraction 6/18. Therefore, the given fractions are equivalent.

Note: If the fractions are NOT equivalent, we can check if the fraction is larger or smaller by looking at the numerator of both resulting fractions. Therefore, this method can also be used to compare fractions.

Let’s find the decimal form of both fractions 2/6 and 3/9 to see if they give the same value.

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To identify whether 2/6 and 3/9 are equivalent, we multiply them. If the two products are equal, the fractions are equivalent.

Let’s graph each of the fractions 2/6 and 3/9 in identical forms and check that the shaded parts of the two are equal.

We can see that the shaded parts of both circles represent the same value. In other words, it can be seen that the hatched parts in both figures represent the same part when viewed as a whole. So the given fractions are equivalent.

Graphs and tables are often used to better present concepts as they serve as a useful 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 chart below to find equivalent fractions of 1/4.

Equivalent Fractions Explained—definitions, Examples, Worksheets — Mashup Math

Two or more fractions are called equivalent fractions if they have 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 can be 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 equivalent fractions.

If the given fractions are simplified and reduced to a common fraction, then they can be called equivalent fractions. In addition, there are various other methods to identify whether given fractions are equivalent or not. Some of them are as follows:

When two fractions are equivalent, it means that they are equal to the same value regardless of their different numerators and denominators. In other words, when they are simplified, they are reduced to the same fraction.

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Equivalent fractions help us add, subtract, multiply, divide and compare fractions, which helps us solve many problems in real time.

An irregular equivalent fraction means an equivalent fraction in an improper form. A fraction is improper when its numerator is greater than its denominator. For example, 3/2 is an improper fraction equivalent to 9/6.

Any two fractions can be considered equivalent if they are equal to the same value. There are different ways to find out if fractions are equivalent. The basic method is to reduce them. If they are reduced to 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 an equivalent fraction for 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 of 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, we get another fraction equivalent to 6/8 by dividing it 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 fractions equivalent to 1/4, we multiply the numerator and denominator by the same number. So we multiply that by 2 which will be, (1 × 2)/(4 × 2) = 2/8. Now, to find another fraction equal to 1/4, let’s multiply it by 3. That would be, (1 × 3)/(4 × 3) = 3/12. So we get two equivalent fractions for 1/4, and they are 2/8 and 3/12.

Two or more fractions are called equivalent if they are equal to the same simplified fraction. For example, the equivalent fractions of 1/6 are 2/12, 3/18, and 4/24, which simplify to give the same fraction as 1/6.

To find fractions equivalent to 2/3, we multiply the numerator and denominator by the same number. So we multiply that by 5 which will be, (2×5)/(3×5) = 10/15. Now, to find another equivalent fraction for 2/3, let’s multiply it by 6. That would be, (2 × 6)/(3 × 6) = 12/18. So we get two equivalent fractions for 2/3, and they are 10/15 and 12/18.

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To find fractions equivalent to 1/3, we multiply the numerator and denominator by the same number. So we multiply that by 2 which will be, (1 × 2)/(3 × 2) = 2/6. Now, to find another fraction equal to 1/3, let’s multiply it by 3. That would be, (1 × 3)/(3 × 3) = 3/9. So we get two equivalent fractions for 1/3, and they are 2/6 and 3/9.

To find fractions equivalent to 3/4, we multiply the numerator and denominator by the same number. So we multiply that by 2 which will be, (3×2)/(4×2) = 6/8. Now, to find another fraction equal to 3/4, let’s multiply it by 3.

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