5 Equivalent Fractions For 3 4

5 Equivalent Fractions For 3 4 – Equivalent fractions can have different numerators and denominators but can be defined as fractions representing the same value. For example, 9/12 and 6/8 are equivalent fractions because both are equal to 3/4 when simplified.

All equivalent fractions reduce to their simplest form as seen in the example above. Study the given text to get a better idea of ​​how to find equivalent fractions and how to check that given fractions are equivalent.

5 Equivalent Fractions For 3 4

5 Equivalent Fractions For 3 4

Two or more fractions are equivalent if they equal the same fraction when simplified. For example, fractions equal to 1/5 are 5/25, 6/30, and 4/20, which, when simplified, result in the same fraction, 1/5.

Examples: 3/5 + 4/5 = 2/3 + 5/8 = 1 2/3 + 2 ¾ = 5/7

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

5 Equivalent Fractions For 3 4

Example: 1/2, 2/4, 3/6 and 4/8 are equivalent fractions. Let’s see if their values ​​are equal. Let’s represent each of these elements as circles with shaded areas. Overall it can be seen that the shaded areas in all the figures represent the same area.

Here, we can see that the size of the shaded area is the same in all the circles. Therefore, 1/2, 2/4, 3/6, and 4/8 are equivalent fractions.

5 Equivalent Fractions For 3 4

Stepping Into Fractions: Grades 3, 4, 5 Equivalents, Simplest Terms, Comparisons

Equivalent fractions can be written by multiplying or dividing both numerator and denominator by the same number. That is why these fractions reduce to the same number when simplified. Let’s consider two ways to form equivalent fractions:

To find equivalent fractions for any given fraction, multiply the numerator and denominator by the same number. For example, to find an equivalent fraction of 3/4, multiply the digit 3 and each 4 by the same number, say 2. So, 6/8 is a fraction equal to 3/4. Some other equivalent fractions can be found by multiplying the numerator and denominator of a given fraction by the same number.

5 Equivalent Fractions For 3 4

To find equivalent fractions for any given fraction, divide the numerator and denominator by the same number. For example, to find a fraction equal to 72/108, we first find their common factors. We know that 2 is a common factor of both 72 and 108. Hence, the equivalent part of 72/108 can be found by dividing its numerator and denominator by 2. So, 36/54 is a double fraction of 72/108. Let’s see how the fraction is simplified:

What Are Equivalent Fractions? Explained Elementary

So, some equivalent fractions of 72/108 are 36/54, 18/27, 6/9 and 2/3. Here, 2/3 is the simplest form of 72/108 because 2 and 3 have no common factor (except 1).

5 Equivalent Fractions For 3 4

Simplify the given fractions to find out whether they are equivalent or not. We can simplify to get even numbers at a point where both numerator and denominator must still be whole numbers. There are several ways to find out if given fractions are equal. Some of them are as follows:

The denominators of the fractions 2/6 and 3/9 are 6 and 9. The least common multiple (LCM) of 6 and 9 is 18. Let us multiply 18 in both fractions by appropriate numbers to form them. .

5 Equivalent Fractions For 3 4

Equivalent Fractions Amplification.

We can see that both fractions are equal to the same fraction 6/18. Hence, the given fractions are equal.

Note: If the fractions are not equal, you can check whether the fraction is larger or smaller by looking at the digits of the two fractions. Hence, this method can also be used to compare fractions.

5 Equivalent Fractions For 3 4

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

Ex 7.3, 4

To find out if 2/6 and 3/9 are equal, we multiply them. If the two products are the same, the fractions are equal.

5 Equivalent Fractions For 3 4

Let us graph each of the fractions 2/6 and 3/9 on the same scale and check that their shaded areas are equal.

We can see that the shaded areas of both circles represent the same value. In other words, it can be seen that the shaded areas in both images represent the same area as a whole. Hence, the given fractions are equal.

5 Equivalent Fractions For 3 4

Ways To Find Equivalent Fractions

Charts and tables are often used to better present ideas because they are easy references for calculations and easy to understand. Anchor charts and tables like the one below make it easier for students to understand equivalent fractions. Let’s use the chart below to find fractions equal to 1/4.

Two or more fractions are called equivalent fractions if they are equal to the same value regardless of their numerator and denominator. For example, 2/4 and 8/16 are equivalent fractions because they reduce to 1/2 when simplified.

5 Equivalent Fractions For 3 4

There can be many examples of equivalent fractions, for example, 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 equivalent fractions.

Equivalent Fractions Equations Worksheet

If the given fractions are simplified and reduced to a common denominator, they can be called equivalent fractions. Additionally, there are many other ways to find out whether given fractions are equal or not. Some of them are as follows:

5 Equivalent Fractions For 3 4

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

Equivalent Fractions helps you add, subtract, multiply, divide, and compare fractions, which helps you solve many real-time problems.

5 Equivalent Fractions For 3 4

Equivalent Fractions Chart

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

Any two fractions can be considered equal if they are equal to the same value. There are several ways to determine if fractions are equal. The basic method is to reduce them. If they reduce to the same fraction, they are considered equal.

5 Equivalent Fractions For 3 4

Equivalent fractions can be written by multiplying or dividing both numerator and denominator by the same number. That is why these fractions reduce to the same number when simplified. For example, let’s write a fraction equal to 2/3. We multiply the numerator and denominator by 4 and we get (2 × 4)/(3 × 4) = 8/12. Therefore, 8/12 and 2/3 are equivalent fractions.

Equivalent Fractions Interactive Worksheet For Grade 4/5

To write a fraction equal to 6/8, we multiply the numerator and denominator by 2, and we 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, divide it by a common number, say, 2. Dividing the numerator and denominator by 2, we get (6 ÷ 2)/(8 ÷ 2 ) = 3. /4. Therefore, 6/8 and 3/4 are equivalent fractions.

5 Equivalent Fractions For 3 4

To find fractions equal to 1/4, multiply the numerator and denominator by the same number. So, we multiply it by 2, which is (1 × 2)/(4 × 2) = 2/8. Now, multiply it by 3 to find another fraction equal to 1/4. That is, (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 equivalent if they equal the same fraction when simplified. For example, fractions equivalent to 1/6 are 2/12, 3/18, and 4/24, which, when simplified, result in the same fraction, 1/6.

5 Equivalent Fractions For 3 4

The Significance Of Understanding Equivalent Fractions

To find fractions equal to 2/3, multiply the numerator and denominator by the same number. So, we multiply it by 5, ie (2 × 5)/(3 × 5) = 10/15. Now, multiply it by 6 to find another fraction equal to 2/3. That is, (2 × 6)/(3 × 6) = 12/18. So, we get two equivalent fractions for 2/3, which are 10/15 and 12/18.

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

5 Equivalent Fractions For 3 4

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

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