Answer:
Explanation:
1).
![(6)/(9)=(2)/(3)](https://img.qammunity.org/2021/formulas/mathematics/college/rpmqrp5n5kshkfj9xvoo4ibi668x5i97bt.png)
= 2 : 3
2). 6 : 4 =
![(6)/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/a44nippmsbmr03kr1zdnv5mty4ogq54mh0.png)
=
![(3)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/810xodspel5mrswej0fay1vvz0sburw3kp.png)
6 : 4 = 3 : 2
3).
![(15)/(45)=(1)/(3)](https://img.qammunity.org/2021/formulas/mathematics/college/miyl0t3w2m5nhcwq5py4ldelspac7xdies.png)
= 1 : 3
4). 12 : 8 =
![(12)/(8)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/va4mqczxiiz23gji44sb12ua5nal1u2w88.png)
=
![(3)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/810xodspel5mrswej0fay1vvz0sburw3kp.png)
= 3 : 2
And
= 3:2
Therefore, 12 : 8 =
![(18)/(12)](https://img.qammunity.org/2021/formulas/mathematics/college/rtq4nbw2xcxy07hx3wefvmnv9121heahxt.png)
5).
![(21)/(12)=(7)/(4)](https://img.qammunity.org/2021/formulas/mathematics/college/rmqgrhvhqeck8r4rkknofuer94496417vc.png)
= 7 : 4
6). 4 : 10 =
![(4)/(10)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/sm4xisahtdwcfs9neswvddlid05e9powhu.png)
=
![(2)/(5)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5jm6oitkd3lorjig5jfw17qliocw7lqrpz.png)
Therefore, equivalent ratios are,
a). 2 : 3 =
![(6)/(9)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tjcaa3hnbtnko3ntoolf5auo316gdedy9h.png)
b). 3 : 2 = 6 to 4
c).
= 1 : 3
d). 18 to 12 = 12 to 8
e).
![7:4=(21)/(12)](https://img.qammunity.org/2021/formulas/mathematics/college/cvzp4divppygf486vxjactbln0z5horc3p.png)
f).
![(2)/(5)=4:10](https://img.qammunity.org/2021/formulas/mathematics/college/pv336dgsyfa8hdi33wq1jdisi1o9q0e138.png)