Answer:
![(18)/(32)>(16)/(32)](https://img.qammunity.org/2021/formulas/mathematics/high-school/986lwoxcbs8sqm0kn6rddruzt2efpqnr8c.png)
Explanation:
We need to find which statements are true.
Solution to find the same we will solve each statement and will conclude the same.
1.
![(14)/(21)>(17)/(24)](https://img.qammunity.org/2021/formulas/mathematics/high-school/4z0j9xzasmjqenfyqaw5rulqm4i22tavm6.png)
Now On solving we get;
![(14)/(21) = 0.66](https://img.qammunity.org/2021/formulas/mathematics/high-school/r57sa15jyqbpz2bb8yi39lolszbln26jtc.png)
![(17)/(24)=0.70](https://img.qammunity.org/2021/formulas/mathematics/high-school/7ay85r6end1feciqc0ubsb9npo44jyzquv.png)
So we can see that 0.70 > 0.66
Hence The given statement is False.
2.
![(18)/(32)>(16)/(32)](https://img.qammunity.org/2021/formulas/mathematics/high-school/986lwoxcbs8sqm0kn6rddruzt2efpqnr8c.png)
Now On solving we get;
![(18)/(32)=0.5625](https://img.qammunity.org/2021/formulas/mathematics/high-school/vw5gnbdhz2q998gvnov5cp64q5ugjtanc5.png)
![(16)/(32)= 0.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/734b2mitp5tcz2lxnrld7ukpg3t4tpx0lq.png)
So we can see that 0.5625 > 0.5
Hence The given statement is True.
3.
![(20)/(15)<(28)/(23)](https://img.qammunity.org/2021/formulas/mathematics/high-school/jcvzopv0i5glwjvuyt680z1g76r8cejx6i.png)
Now On solving we get;
![(20)/(15) = 1.33](https://img.qammunity.org/2021/formulas/mathematics/high-school/i1mv3dmcc7jpf478ns2zscagcobd20sj53.png)
![(28)/(23)=1.2](https://img.qammunity.org/2021/formulas/mathematics/high-school/zthpkn6tfe1hq8z6g3e6wix4hrzgzlidv0.png)
So we can see that 1.33 > 1.2
Hence The given statement is False.
4.
![(29)/(35)<(20)/(30)](https://img.qammunity.org/2021/formulas/mathematics/high-school/n02uhvfc61szxpkvrw4tusgx3f1c13r7em.png)
Now On solving we get;
![(29)/(35)= 0.82](https://img.qammunity.org/2021/formulas/mathematics/high-school/wp17d29w8avsv9594wmiq1u5v1j6mtx30y.png)
![(20)/(30)= 0.66](https://img.qammunity.org/2021/formulas/mathematics/high-school/jv2sfikasnbc3ibardwxnr7cnkwrpfeevk.png)
So we can see that 0.82 > 0.66
Hence The given statement is False.