find two equivalent fractions for each given fraction.

(1) 3
-
6

(2) 3
-
9

3/6 = 1/2

3/9 = 1/3

In both cases I multiplied top and bottom by 1/3

3/6 = 1/2 = 2/4 = 6/12

3/9

Divide the numerator and the denominator by 3. What do you get?

To find two equivalent fractions for a given fraction, you need to multiply or divide both the numerator and the denominator by the same non-zero number. Here's how to find two equivalent fractions for each given fraction:

(1) Fraction: 3/6

To find the first equivalent fraction, you can divide both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 3 and 6 is 3. Divide both 3 and 6 by 3:

3 ÷ 3 = 1
6 ÷ 3 = 2

The first equivalent fraction is 1/2.

For the second equivalent fraction, you can multiply both the numerator and denominator by the same non-zero number. For example, you can multiply both by 2:

3 × 2 = 6
6 × 2 = 12

The second equivalent fraction is 6/12.

So, two equivalent fractions for 3/6 are 1/2 and 6/12.

(2) Fraction: 3/9

To find the first equivalent fraction, you can again divide both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 3 and 9 is 3. Divide both 3 and 9 by 3:

3 ÷ 3 = 1
9 ÷ 3 = 3

The first equivalent fraction is 1/3.

For the second equivalent fraction, you can multiply both the numerator and denominator by the same non-zero number. For example, you can multiply both by 2:

3 × 2 = 6
9 × 2 = 18

The second equivalent fraction is 6/18.

So, two equivalent fractions for 3/9 are 1/3 and 6/18.