Mastering Equivalent Fractions: Understanding and Applying the Concept

equivalent fractions

Equivalent fractions are fractions that have the same value but are written in different forms

Equivalent fractions are fractions that have the same value but are written in different forms. They represent the same part of a whole, even though the numerator and denominator may be different.

To find equivalent fractions, you can multiply or divide both the numerator and the denominator by the same number. Here are a few examples:

Example 1:
Let’s look at the fraction 2/4. To find an equivalent fraction, we can divide both the numerator and denominator by their greatest common divisor, which in this case is 2. So, by dividing 2/4 by 2, we get an equivalent fraction of 1/2.

Example 2:
Consider the fraction 3/5. We can multiply both the numerator and the denominator by the same number to find an equivalent fraction. For instance, if we multiply 3/5 by 2/2, we get an equivalent fraction of 6/10.

Example 3:
Let’s take the fraction 4/8. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4. So, by dividing 4/8 by 4, we get an equivalent fraction of 1/2.

Example 4:
Consider the fraction 6/9. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3. So, by dividing 6/9 by 3, we get an equivalent fraction of 2/3.

It’s important to note that while the numerator and denominator may change, the value of the fraction remains the same. Therefore, equivalent fractions can be used interchangeably in calculations or comparisons.

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