Based on the length of the pieces and the length of the string , the number of pieces that can be made is 14 pieces.
It would be best to convert the lengths to decimals for easier calculation:
10¹/₂ = 10.5
³/₄ = 0.75
This can be found as:
= Length of string / Length of pieces
= 10.5 / 0.75
= 14 pieces
In conclusion, 14 pieces can be made.
Find out more on dividing units at https://brainly.com/question/11379557.