Which pair of fractions are equivalent to 2/9 ?(1 point) Responses 6/27, 12/45 Start Fraction 6 over 27 End Fraction comma Start Fraction 12 over 45 End Fraction 5/27, 12/54 Start Fraction 5 over 27 End Fraction comma Start Fraction 12 over 54 End Fraction 6/27, 12/54 Start Fraction 6 over 27 End Fraction comma Start Fraction 12 over 54 End Fraction 20/27, 12/19
The pair of fractions that are equivalent to 2/9 are 6/27 and 12/54.
To determine which pair of fractions is equivalent to 2/9, we will simplify each fraction and see if it matches 2/9.
Let's calculate each fraction separately:
1) 6/27:
To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 3.
6 ÷ 3 = 2
27 ÷ 3 = 9
So, 6/27 is equivalent to 2/9.
2) 12/45:
To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 3.
12 ÷ 3 = 4
45 ÷ 3 = 15
So, 12/45 is not equivalent to 2/9.
3) 5/27:
To simplify this fraction, we cannot divide the numerator and the denominator by any common factor.
So, 5/27 is not equivalent to 2/9.
4) 12/54:
To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 6.
12 ÷ 6 = 2
54 ÷ 6 = 9
So, 12/54 is equivalent to 2/9.
5) 20/27:
To simplify this fraction, we cannot divide the numerator and the denominator by any common factor.
So, 20/27 is not equivalent to 2/9.
Therefore, the pair of fractions that is equivalent to 2/9 is 6/27 and 12/54.
To determine which pair of fractions is equivalent to 2/9, you need to find fractions that can be simplified to 2/9.
First, simplify the given fractions to see if they are equivalent to 2/9:
1. Simplify 6/27: Divide both the numerator and denominator by their greatest common divisor (GCD), which is 3. After simplification, you get 2/9.
2. Simplify 12/45: Divide both the numerator and denominator by their GCD, which is 3. Simplifying this fraction results in 4/15.
3. Simplify 5/27: This fraction is not equivalent to 2/9, as there is no common factor that can be divided from both the numerator and denominator.
4. Simplify 12/54: Divide both the numerator and denominator by their GCD, which is 6. After simplification, you get 2/9.
5. Simplify 20/27: This fraction is not equivalent to 2/9, as there is no common factor that can be divided from both the numerator and denominator.
6. Simplify 12/19: This fraction is not equivalent to 2/9, as there is no common factor that can be divided from both the numerator and denominator.
After simplifying the given fractions, you can see that the pair equivalent to 2/9 is 6/27 and 12/54.