Which pair of fractions are equivalent to 2/9 ?(1 point)
Responses
20/27, 12/19
6/27, 12/54
6/27, 12/45
5/27, 12/54
The pair of fractions that are equivalent to 2/9 is 20/27 and 12/19.
wrong
I'm sorry for the mistake. The correct answer is the pair of fractions 6/27 and 12/54.
To find the pair of fractions that are equivalent to 2/9, we need to determine which fractions have the same value when simplified.
To simplify a fraction, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 2 and 9 is 1.
Now, let's check each pair of fractions:
Option 1: 20/27, 12/19
To simplify 20/27, the GCD of 20 and 27 is 1, so it remains 20/27. Since this fraction is not equivalent to 2/9, we can eliminate this option.
Option 2: 6/27, 12/54
To simplify 6/27, the GCD of 6 and 27 is 3. When we divide both the numerator and denominator by 3, we get 2/9. Thus, this pair of fractions is equivalent to 2/9.
Option 3: 6/27, 12/45
To simplify 6/27, the GCD of 6 and 27 is 3. When we divide both the numerator and denominator by 3, we get 2/9. Therefore, this pair of fractions is equivalent to 2/9.
Option 4: 5/27, 12/54
To simplify 5/27, the GCD of 5 and 27 is 1, so it remains 5/27. Since this fraction is not equivalent to 2/9, we can eliminate this option.
Therefore, the correct pair of fractions that are equivalent to 2/9 is 6/27 and 12/54.