Final answer:
After dividing the 52-foot fishing line into 2 1/2 foot sections, there will be 2 feet of fishing line left over.
Step-by-step explanation:
To solve the problem of how much fishing line will be leftover after cutting 52 feet of line into 2 1/2 foot sections, we need to perform division and find the remainder. First, convert 2 1/2 feet to a decimal, which is 2.5 feet. Then, divide 52 feet by 2.5 feet.
52 ÷ 2.5 = 20.8
This result means you can make 20 sections of 2.5 feet from the 52-foot line. The 0.8 represents a fraction of a section that we can't fully use since we are asked for full sections only. To find out the exact length of line left over, we multiply 0.8 by the length of each section.
0.8 × 2.5 feet = 2 feet
So, 2 feet of fishing line will be left over after making as many 2 1/2 foot sections as possible from the 52-foot line.