Answer:
He needs 17 more pieces;
![17\text{ pieces}](https://img.qammunity.org/2023/formulas/mathematics/college/9enq4i3b1a4ftc5oxyr4t6yrz82dtgk74v.png)
Step-by-step explanation:
Given that Dairon needs to make 30 pieces of string 3/8 inch in length.
![(3)/(8)\text{ inch per piece}](https://img.qammunity.org/2023/formulas/mathematics/college/ivdgj0fv5v7atv9c4wn1ahqtrmtz99hk2o.png)
And He has already cut a 4 7/8 inch piece of string;
![4(7)/(8)=(4(8)+7)/(8)=(32+7)/(8)=(39)/(8)\text{ inch}](https://img.qammunity.org/2023/formulas/mathematics/college/izizvuwkysmk9bhkfgi4xh5uot03xa9h41.png)
The number of pieces that can be cut from the 4 7/8 inch piece is;
![(39)/(8)/(3)/(8)=(39)/(8)*(8)/(3)=(39)/(3)=13\text{ pieces}](https://img.qammunity.org/2023/formulas/mathematics/college/myrhtoq89jmj2y84peu4ee9rjkrzr46eyy.png)
The number of pieces he needs more is;
![n=30-13=17\text{ pieces}](https://img.qammunity.org/2023/formulas/mathematics/college/rqfc8aa0urkengfm56xrg2xd5r3vew11z6.png)
Therefore, he needs 17 more pieces;
![17\text{ pieces}](https://img.qammunity.org/2023/formulas/mathematics/college/9enq4i3b1a4ftc5oxyr4t6yrz82dtgk74v.png)