This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Determine the fraction represented by the dot on the number line. The number line between 0 and 1 is divided into 6 equal segments. The dot is located on the 4th mark from 0. Therefore, the dot represents the fraction (4)/(6). Step 2: Evaluate Desmond's first claim: (2)/(12) represents the dot. To compare (2)/(12) with (4)/(6), simplify (2)/(12): (2)/(12) = (2 ÷ 2)/(12 ÷ 2) = (1)/(6) Since (1)/(6) ≠ (4)/(6), Desmond's first claim is incorrect. Step 3: Evaluate Desmond's second claim: (3)/(6) represents the dot. Compare (3)/(6) with (4)/(6). Since (3)/(6) ≠ (4)/(6), Desmond's second claim is incorrect. Step 4: Conclude whether Desmond is correct. Desmond is incorrect. The dot on the number line represents (4)/(6). Neither (2)/(12) (which simplifies to (1)/(6)) nor (3)/(6) is equivalent to (4)/(6). What's next?