Final answer:
To find out how many of Edward's pieces equal the length of 3 of Jaden's pieces, we compare fractions representing their pieces of the board. 1/4 (three of Jaden's pieces) divided by 1/8 (one of Edward's pieces) equals 2, meaning 2 of Edward's pieces equal 3 of Jaden's pieces.
Step-by-step explanation:
The question involves proportional reasoning, which is a topic in mathematics. Edward and Jaden both have boards of the same length. Edward divides his board into 8 equal pieces, while Jaden divides his into 12 equal pieces. In order to determine how many of Edward's pieces are the same length as 3 of Jaden's pieces, we need to compare the sizes of the pieces from both boards.
Each of Edward's pieces represents 1/8 of the board length, while each of Jaden's pieces represents 1/12 of the board length. Three of Jaden's pieces would represent 3/12 or 1/4 of the board length. To find out how many of Edward's pieces equal 1/4 of the board, we divide 1/4 by 1/8:
1/4 ÷ 1/8 = 2
Therefore, 2 of Edward's pieces are equal to the total length of 3 of Jaden's pieces.