To determine if both fractions are equivalent, it must support the expression:
![a=b](https://img.qammunity.org/2023/formulas/mathematics/college/xn0xizmefggxa7r71mt97cd4g855h5dt00.png)
where a and b are the fractions.
We need to simplify both fractions to check if they are equivalent.
First Fraction:
![(15)/(24)](https://img.qammunity.org/2023/formulas/mathematics/college/9kbs17411kffo8ismbcn5m9twi2pitwrpw.png)
We can divide both the numerator and denominator by 3:
![(5)/(8)](https://img.qammunity.org/2023/formulas/mathematics/high-school/klcv5bp7wr4w088o0hxv4n8wc71h76u6tp.png)
Second Fraction:
![(20)/(36)](https://img.qammunity.org/2023/formulas/mathematics/college/nbo1pcywjjhgyl5rumj5hb1gs8t9epo2ra.png)
We can divide both the numerator and denominator by 4:
![(5)/(9)](https://img.qammunity.org/2023/formulas/mathematics/college/k272urtp84x94aysc1l2tccj7c7c0v88p3.png)
Putting these into the expression to check equivalency, we can see that:
![(5)/(8)\\e(5)/(9)](https://img.qammunity.org/2023/formulas/mathematics/college/x3m7x4yc6iw3wqz1ojj0elmra8mvf1tsyv.png)
Therefore, BOTH FRACTIONS ARE NOT EQUIVALENT.