Write an equivalent fraction for 3/9 and multiply or divide the numerator and the denominator by the same number

To find an equivalent fraction for 3/9, we need to multiply or divide both the numerator and the denominator by the same number.

Let's try multiplying both the numerator and the denominator by a common factor, such as 2.

So, 3/9 multiplied by 2/2 becomes (3 * 2) / (9 * 2), which simplifies to 6/18.

Since 6 and 18 have a common factor of 6, we can further simplify the fraction by dividing both the numerator and the denominator by 6.

Thus, 6/18 divided by 6/6 is (6/18) / (6/6), which simplifies to 1/3.

Therefore, an equivalent fraction for 3/9, after multiplying both the numerator and the denominator by 2 and then dividing by their common factor of 6, is 1/3.