Equivalent fractions 1/2,6/10,9/27,4/16
Multiply the numerator and the denominator by the same number to find the equivalent fractions.
1/2 = 2/4 = 3/6 = 4/8 = 5/10
6/10 = 3/5 = 12/20 = 18/30
I'll be glad to check your answers to the other fractions.
To determine if two fractions are equivalent, you need to compare their numerator and denominator. If the ratio of the numerator to the denominator is the same, then the fractions are equivalent.
Let's compare the fractions you provided:
1/2 and 6/10:
To compare these fractions, we can simplify them by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 1 and 2 is 1, so dividing both the numerator and denominator of 1/2 by 1 yields 1/2. Similarly, the GCD of 6 and 10 is 2, so dividing both the numerator and denominator of 6/10 by 2 gives us 3/5. Since 1/2 is not equal to 3/5, these fractions are not equivalent.
1/2 and 9/27:
Again, we can simplify these fractions. The GCD of 1 and 2 is 1, so dividing both the numerator and denominator of 1/2 by 1 gives us 1/2. The GCD of 9 and 27 is 9, so dividing both the numerator and denominator of 9/27 by 9 yields 1/3. Since 1/2 is not equal to 1/3, these fractions are not equivalent.
1/2 and 4/16:
Let's simplify these fractions as well. The GCD of 1 and 2 is 1, so dividing both the numerator and denominator of 1/2 by 1 yields 1/2. The GCD of 4 and 16 is 4, so dividing both the numerator and denominator of 4/16 by 4 gives us 1/4. Since 1/2 is not equal to 1/4, these fractions are not equivalent either.
Therefore, out of the fractions you provided, only 1/2 is not equivalent to the others.