Which pair of fractions are equivalent to 2/9? 1: 20/27,12/19 2: 5/27,12/54 3: 6/27,12/45 4: 6/27,12/54
The pair of fractions that is equivalent to 2/9 is 4: 6/27, 12/54.
To find the pair of fractions that are equivalent to 2/9, we can simplify 2/9 by finding the greatest common divisor (GCD) of the numerator and denominator, which is 1 in this case. Then we divide both the numerator and denominator of 2/9 by the GCD to simplify.
2 ÷ 1 = 2
9 ÷ 1 = 9
So the simplified fraction is 2/9.
Now, let's compare this simplified fraction to the given pairs of fractions:
1. 20/27 and 12/19: These fractions are not equivalent to 2/9 because their values are different.
2. 5/27 and 12/54: These fractions are not equivalent to 2/9 because their values are different.
3. 6/27 and 12/45: These fractions are not equivalent to 2/9 because their values are different.
4. 6/27 and 12/54: These fractions are equivalent to 2/9 because when simplified, both fractions have a numerator of 2 and a denominator of 9.
Therefore, the correct pair of fractions 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 the fraction(s) that have the same value when simplified.
Option 1: 20/27 and 12/19
To check if they are equivalent to 2/9, we need to simplify both fractions. However, simplifying them, we find that 20/27 is not equal to 2/9, and 12/19 is also not equal to 2/9. Therefore, this pair is not equivalent.
Option 2: 5/27 and 12/54
Let's simplify both fractions.
To simplify 5/27, we can't simplify it further because 5 and 27 have no common factors other than 1. Similarly, for 12/54, we can simplify it by dividing both the numerator and denominator by 6, which gives us 2/9. Therefore, this pair is equivalent to 2/9.
Option 3: 6/27 and 12/45
For 6/27, we can simplify it by dividing both the numerator and denominator by 3, which gives us 2/9. However, for 12/45, we can simplify it by dividing both the numerator and denominator by 3 as well, which gives us 4/15. Therefore, this pair is not equivalent to 2/9.
Option 4: 6/27 and 12/54
To simplify 6/27, we can divide both the numerator and denominator by 3, which gives us 2/9. Similarly, for 12/54, we can divide both the numerator and denominator by 6, resulting in 2/9. Therefore, this pair is also equivalent to 2/9.
So, the pair of fractions that is equivalent to 2/9 is Option 2: 5/27 and 12/54.