Given the ratio 12/36, if you divide each term by 3, you get:
![((12)/(3))/((36)/(3))=(4)/(12)](https://img.qammunity.org/2023/formulas/mathematics/college/qo37w1dtbw8p7l0seqmmd0bc6nkskgr0ru.png)
Then, 4:10 is not equivalent to 12/36.
if you divide each term by 2, you get:
![((12)/(2))/((36)/(2))=(6)/(18)](https://img.qammunity.org/2023/formulas/mathematics/college/x5ueleejx1njnfbmnssgdr5o3qpz5y2fn6.png)
or 6:18
If you multiply each term by 3/2, you get:
![(12\cdot(3)/(2))/(36\cdot(3)/(2))=(18)/(54)](https://img.qammunity.org/2023/formulas/mathematics/college/pp6765h2mrrbzr2tpwp2l3einycgkb68ph.png)
Then, 18:24 is not equivalent to 12/36.
If you multiply each term by 4, you get:
![(12\cdot4)/(36\cdot4)=(48)/(144)](https://img.qammunity.org/2023/formulas/mathematics/college/5161otmv1j78b72ntumypfg9zji7zstq41.png)
Then, 48:16 is not equivalent to 12/36.