what pair of fractions are equivalent to 2/9
5/27,12/54
6/27, 12/45
6/27, 12/54
20/27,12/19
The pair of fractions that are equivalent to 2/9 is 6/27 and 12/54.
To determine which pair of fractions is equivalent to 2/9, we need to find fractions that have the same value when simplified.
Let's simplify 2/9:
2/9 = (2 ÷ 1) / (9 ÷ 1) = 2/9
Now let's compare the simplified fraction with the options:
1. 5/27: (5 ÷ 1) / (27 ÷ 1) = 5/27
This is NOT equivalent to 2/9.
2. 12/54: (12 ÷ 6) / (54 ÷ 6) = 2/9
This is equivalent to 2/9.
3. 6/27: (6 ÷ 3) / (27 ÷ 3) = 2/9
This is equivalent to 2/9.
4. 12/45: (12 ÷ 3) / (45 ÷ 3) = 4/15
This is NOT equivalent to 2/9.
So, the pair of fractions equivalent to 2/9 is 12/54 and 6/27.
To find a pair of fractions that are equivalent to 2/9, we need to find fractions that have the same value as 2/9. To do this, we can simplify the fraction 2/9 to its simplest form.
First, we check if the numerator (2) and denominator (9) have any common factors. In this case, there are no common factors other than 1. Therefore, the fraction 2/9 is already in its simplest form.
Now, we can look at the given pairs of fractions to see if any of them are equivalent to 2/9.
Pair 1: 5/27, 12/54
To simplify 5/27, we check for common factors between the numerator (5) and denominator (27). Since there are no common factors other than 1, the fraction 5/27 is already in its simplest form.
To simplify 12/54, we check for common factors between the numerator (12) and denominator (54). Both numbers are divisible by 6, so we can divide them by 6 to get 2/9. Therefore, the pair 5/27, 12/54 is equivalent to 2/9.
Pair 2: 6/27, 12/45
To simplify 6/27, we check for common factors between the numerator (6) and denominator (27). Both numbers are divisible by 3, so we can divide them by 3 to get 2/9. Therefore, the pair 6/27, 12/45 is equivalent to 2/9.
Pair 3: 6/27, 12/54
To simplify 6/27, we check for common factors between the numerator (6) and denominator (27). Both numbers are divisible by 3, so we can divide them by 3 to get 2/9. Therefore, the pair 6/27, 12/54 is equivalent to 2/9.
Pair 4: 20/27, 12/19
To simplify 20/27, we check for common factors between the numerator (20) and denominator (27). Since there are no common factors other than 1, the fraction 20/27 is already in its simplest form.
To simplify 12/19, we check for common factors between the numerator (12) and denominator (19). Since there are no common factors other than 1, the fraction 12/19 is already in its simplest form. Therefore, the pair 20/27, 12/19 is not equivalent to 2/9.
So, the pairs of fractions that are equivalent to 2/9 are 5/27, 12/54 and 6/27, 12/54.