Mike says that 2/3 of his class is wearing blue shirts.ryan says that 4/6 of the same class is wearing blue shirts. Are the two fractions equivalent?if so,what is another equivalent fraction?
2/3 = 4/6 = 6/9 = 8/12 = 10/15
To determine if the two fractions are equivalent, we need to compare them. The given fractions are 2/3 and 4/6.
To simplify fractions, we find the greatest common divisor (GCD) of the numerator and denominator and divide both the numerator and the denominator by the GCD.
For the fraction 2/3, the GCD of 2 and 3 is 1. Hence, dividing both the numerator and denominator by 1, we get:
(2 ÷ 1) / (3 ÷ 1) = 2/3
For the fraction 4/6, the GCD of 4 and 6 is 2. So, dividing both the numerator and denominator by 2, we get:
(4 ÷ 2) / (6 ÷ 2) = 2/3
As we can see, after simplifying, both fractions have the same value of 2/3. This means that the two fractions are equivalent.
To find another equivalent fraction, we can multiply both the numerator and denominator of 2/3 by the same non-zero whole number. Let's multiply by 2:
2/3 x 2/2 = 4/6
Thus, another equivalent fraction of 2/3 is 4/6.