Final answer:
To represent the question 'What fraction of 2 1/2 is 4/5?' with a tape diagram, we divide a bar into 2 equal parts for 2 1/2 and shade 4 out of 5 parts to represent 4/5. The answer is found by scaling 2 1/2 by 2/5, which equals 5.
Step-by-step explanation:
To draw a tape diagram to represent the question, 'What fraction of 2 1/2 is 4/5?', we can start by visually representing the whole quantity of 2 1/2. This can be represented by a tape or bar divided into 2 equal parts, with each part representing 1/2. We then need to find the fraction that is equivalent to 4/5. We can break our tape into 5 equal parts and shade 4 parts to represent 4/5. The remaining shaded part is the fraction we are looking for, which is 2/5 of 2 1/2.
To find the answer, we can use the concept of scaling. Since we shaded 4 parts out of 5, and each part represents 1/2, we can multiply 2 1/2 by 2/5 to find the answer.
2 1/2 * 2/5 = (2 * 2) + (1/2 * 2) = 4 + 1 = 5. So, 2/5 of 2 1/2 is equal to 5.