Equivalent Fractions are fractions that have the same value or represent the same part of a whole, even though they may look different. For example, 1/2, 2/4, and 3/6 are all equivalent fractions because they represent the same amount or part of a whole.

Explanation:

To understand equivalent fractions, it is essential to know the concept of fractions. A fraction is a part of a whole. It represents the division of a whole into equal parts. Fractions have two parts, a numerator and a denominator. The numerator represents the number of parts we have, and the denominator represents the total number of parts.

For example, in the fraction 2/3, the numerator is 2, and the denominator is 3. It means that we have two parts out of a total of three equal parts.

Now, let's take an example of equivalent fractions. Suppose we have a pizza, and we divide it into four equal parts. We can represent this as a fraction, 1/4, which means we have one part out of four.

But there are other ways to represent this same pizza. For example, we can divide the same pizza into eight equal parts. Now, we have eight slices, and we can represent this as a fraction, 2/8.

Although the fractions 1/4 and 2/8 look different, they represent the same amount or part of the whole pizza. Therefore, they are equivalent fractions.

Examples of Equivalent Fractions:

Here are some examples of equivalent fractions:

- 1/2 = 2/4 = 3/6
- 2/3 = 4/6 = 6/9
- 3/4 = 6/8 = 9/12

We can create equivalent fractions by multiplying or dividing both the numerator and the denominator by the same number. For example, to find an equivalent fraction of 1/2, we can multiply both the numerator and denominator by 2 to get 2/4. Similarly, to find an equivalent fraction of 2/5, we can multiply both the numerator and denominator by 3 to get 6/15.

Conclusion:

Equivalent fractions are fractions that have the same value or represent the same part of a whole, even though they may look different. We can create equivalent fractions by multiplying or dividing both the numerator and denominator by the same number. Knowing equivalent fractions is essential in simplifying fractions and performing mathematical operations with fractions.

An equivalent fraction is a fraction that is the same as another fraction with a different denominator.