Understanding Equivalent Fractions of 3/7

Equivalent fractions are fractions that represent the same value but are expressed in different forms. For example, the fraction 3/7 can be represented in various equivalent forms. In this article, we will explore two equivalent fractions of 3/7 and provide a step-by-step guide to understanding and finding them.

Understanding 3/7 and Its Equivalent Fractions

The fraction 3/7 represents a part of a whole. When the whole is divided into 7 equal parts, 3 parts are taken. To find equivalent fractions of 3/7, we multiply both the numerator (the top number) and the denominator (the bottom number) by the same non-zero number. This multiplication does not change the value of the fraction.

Two Equivalent Fractions of 3/7

There are numerous equivalent fractions of 3/7. However, let's take a closer look at two specific examples:

6/14

To find 6/14, we need to multiply both the numerator and the denominator of 3/7 by 2:

3 * 2 6

7 * 2 14

So, 3/7 6/14.

9/21

To find 9/21, we multiply both the numerator and the denominator of 3/7 by 3:

3 * 3 9

7 * 3 21

Therefore, 3/7 9/21.

Additional Equivalent Fractions of 3/7

Believe it or not, the process is the same for finding any other equivalent fraction of 3/7. Let's demonstrate another step:

12/28

Multiplying both the numerator and the denominator by 4, we get:

3 * 4 12

7 * 4 28

Thus, 3/7 12/28.

Conclusion

In conclusion, 3/7 can be equivalently represented in many forms. We have explored two specific equivalent fractions, 6/14 and 9/21. Additionally, 12/28 is another example. Understanding the process of creating equivalent fractions helps in simplification and comparison across various fractions.

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