Which of the following points represents $1 \frac{3}{4}$?
Answer (1)
Convert the mixed number 1 4 3 to a decimal: 1 4 3 = 1.75 .
Convert the mixed number 1 4 3 to an improper fraction: 1 4 3 = 4 7 .
Identify the point on the number line that corresponds to 1.75 or 4 7 (if the points were provided).
The answer is the point representing 1.75 or 4 7 . Since the points are not provided, the problem is unsolvable without additional information. Therefore, the solution is 1.75 if we assume that the question is asking for the decimal representation of the number.
Explanation
Understanding the Problem The problem asks us to identify which point represents the mixed number 1 4 3 . First, we need to convert this mixed number into a decimal or an improper fraction to better understand its value.
Converting to Decimal and Improper Fraction We can convert the mixed number 1 4 3 to a decimal by recognizing that 4 3 is equal to 0.75. Therefore, 1 4 3 = 1 + 0.75 = 1.75 . Alternatively, we can convert it to an improper fraction: 1 4 3 = 4 1 × 4 + 3 = 4 7 .
Identifying the Point (If Available) Since the actual points are not provided in the question, we cannot definitively determine which point represents 1 4 3 or 1.75. The question is incomplete without the points being specified. However, if we were given a number line with points, we would look for the point that corresponds to 1.75.
Final Answer Without the specific points, we can only state that the answer would be the point corresponding to 1.75 or 4 7 on a number line.
Examples
Imagine you are baking a cake and the recipe calls for 1 4 3 cups of flour. This is the same as needing 1.75 cups or 4 7 cups. Understanding how to convert mixed numbers to decimals or improper fractions helps you accurately measure ingredients, ensuring your cake turns out perfectly. This skill is also useful when reading measuring tapes or rulers, where lengths are often given in fractions of an inch.
