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.