First, find the total length of the remaining fabric by substracting 13 1/2 from 25:
![\begin{gathered} 25-13(1)/(2) \\ =25-13-(1)/(2) \\ =12-(1)/(2) \\ =11(1)/(2) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/bkjvcqmc89dmyh8krgdf00myows3vya0or.png)
Since one feet equals 12 inches, multiply 11 1/2 by 12 to find the total length of the remaining fabric in inches:
![\begin{gathered} 11(1)/(2)*12=11*12+(1)/(2)*12 \\ =132+(12)/(2) \\ =132+6 \\ =138 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/gugqjsr28kczftzrnsxzt9vvvfnn9jd25l.png)
Since each ribbon takes 3 inches, divide 138 over 3 to find the total amount of ribbons that can be made:
![(138)/(3)=46](https://img.qammunity.org/2023/formulas/mathematics/college/fxz8f4svox98xm9r1z0zgwrm0lqpe6nqe1.png)
Therefore, Sammi is able to make 46 ribbons.