Find the mixed number equivalent to the improper fraction below.
A. $8 \frac{3}{8}$
B. $8 \frac{5}{9}$
C. $8 \frac{4}{8}$
D. $8 \frac{2}{8}$
Answer (1)
Convert each mixed number to an improper fraction.
A. 8 8 3 = 8 67
B. 8 9 5 = 9 77
C. 8 8 4 = 8 68
D. 8 8 2 = 8 66 .
Explanation
Problem Analysis We are asked to find the mixed number that is equivalent to an improper fraction. The options are: A. 8 8 3 B. 8 9 5 C. 8 8 4 D. 8 8 2 To solve this, we will convert each mixed number to an improper fraction.
Converting Mixed Numbers to Improper Fractions To convert a mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator. The result becomes the new numerator, and the denominator stays the same.
Option A A. 8 8 3 = 8 8 × 8 + 3 = 8 64 + 3 = 8 67
Option B B. 8 9 5 = 9 8 × 9 + 5 = 9 72 + 5 = 9 77
Option C C. 8 8 4 = 8 8 × 8 + 4 = 8 64 + 4 = 8 68
Option D D. 8 8 2 = 8 8 × 8 + 2 = 8 64 + 2 = 8 66
Final Answer Since the problem does not provide the improper fraction, we can only convert each mixed number to its equivalent improper fraction. The options A, B, C, and D correspond to the improper fractions 8 67 , 9 77 , 8 68 , and 8 66 respectively. Without the original improper fraction, we cannot determine which mixed number is the correct answer. However, we have successfully converted each mixed number to its improper fraction form.
Examples
Understanding how to convert mixed numbers to improper fractions is useful in everyday situations, such as when you're baking. For example, a recipe might call for 2 2 1 cups of flour. To measure this accurately, you need to know that 2 2 1 is equal to 2 5 cups. This conversion ensures that you use the correct amount of ingredients, leading to a successful recipe!
