Which point could represent $\frac{5}{3}$?
A
B
C
D
Answer (2)
Convert the improper fraction 3 5 to a mixed number: 3 5 = 1 3 2 .
Recognize that 1 3 2 lies between 1 and 2 on the number line.
Identify the point on the number line that falls between 1 and 2.
Without the number line, we can't give a definitive answer, but the point must be between 1 and 2.
Explanation
Understanding the Fraction We need to determine which point on a number line represents the fraction 3 5 . First, let's convert the improper fraction 3 5 into a mixed number to better understand its value.
Converting to a Mixed Number To convert 3 5 to a mixed number, we divide 5 by 3. The quotient is 1 and the remainder is 2. Therefore, 3 5 = 1 3 2 . This tells us that 3 5 is between 1 and 2.
Locating on the Number Line Since 3 5 is equal to 1 3 2 , it lies between the numbers 1 and 2 on the number line. Without a visual representation of the number line and the positions of points A, B, C, and D, we cannot definitively determine which point represents 3 5 . However, we know the correct point must be located between 1 and 2.
Final Answer Without the number line, we can't give a definitive answer. But if we had the number line, we would look for the point between 1 and 2.
Examples
Understanding fractions like 3 5 is crucial in everyday situations. For instance, if you're baking a cake and the recipe calls for 1 3 2 cups of flour, knowing this fraction helps you measure the correct amount. Similarly, if you're dividing a pizza among friends and each person gets 3 5 of a slice, understanding fractions ensures everyone gets a fair share. These basic math skills are essential for accurate measurements and fair distributions in various real-life scenarios.
The point that represents 3 5 is situated between 1 and 2 on a number line. To identify it, look for the point that is approximately at 1 3 2 . Without specific points A, B, C, and D, it is important to find the appropriate option within that range.
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