Given the following number:
![\text{ 258.14}](https://img.qammunity.org/2023/formulas/mathematics/high-school/5qjspwfhfrti2qxgwae5kpx53lpt1ea46o.png)
Let's write it in a fraction or mixed number in the lowest terms.
Since the decimal is 0.14, putting it into fraction will be:
![\text{ 0.14 = }(14)/(100)](https://img.qammunity.org/2023/formulas/mathematics/high-school/hdlxdlebo8hvh84a63x1sxcj39bof1voa9.png)
Simplifying,
![\text{ }(14)/(100)\text{ = }(7)/(50)](https://img.qammunity.org/2023/formulas/mathematics/high-school/xiz5f6f7nx9d1rvqd40j48ff8bt9ejvsmf.png)
258 is a whole number, thus, it will become a mixed number, we just add 258 and 7/50.
The answer is, therefore:
![\text{ 258.14 = 258 }(7)/(50)](https://img.qammunity.org/2023/formulas/mathematics/high-school/1cqxeub2k5i7qcv7nx2m4c0p4fqu6k0xxd.png)
![\text{ Answer: 258 }(7)/(50)](https://img.qammunity.org/2023/formulas/mathematics/high-school/2mc7ebw1cqq944xxf7rjb71lwyp94vkckg.png)