Answer: No
Step-by-step explanation: In order to decide whether the given fractions are equivalent, first write each fraction in lowest terms.
A fraction is written in lowest terms if the greatest common factor of the numerator and the denominator is 1.
So for our first fraction, 4/9, since the greatest common factor of 4 and 9 is 1, we know that are fraction is already written in lowest terms.
For our second fraction however, since the greatest common factor of 20 and 36 is 4, we must divide both the numerator and the denominator by 4 to write our fraction in lowest terms. This gives us 5/9.
Since 5/9 is bigger than 4/9, te fractions are not equivalent so no, 4/9 is not equivalent to 20/36.