Find the mixed number equivalent to the improper fraction below.
A. $2 \frac{5}{10}$
B. $2 \frac{4}{10}$
C. $2 \frac{3}{10}$
D. $2 \frac{2}{10}$
Answer (1)
Convert each mixed number to an improper fraction.
A. 2 10 5 = 10 25
B. 2 10 4 = 10 24
C. 2 10 3 = 10 23
D. 2 10 2 = 10 22
Explanation
Problem Analysis We are given four mixed number options and asked to find which one is equivalent to an unspecified improper fraction. To determine the correct answer, we will convert each mixed number to an improper fraction and see which one matches the form of an improper fraction.
Converting Mixed Numbers to Improper Fractions Let's convert each mixed number to an improper fraction:
A. 2 10 5 = 10 2 × 10 + 5 = 10 20 + 5 = 10 25 = 2.5 B. 2 10 4 = 10 2 × 10 + 4 = 10 20 + 4 = 10 24 = 2.4 C. 2 10 3 = 10 2 × 10 + 3 = 10 20 + 3 = 10 23 = 2.3 D. 2 10 2 = 10 2 × 10 + 2 = 10 20 + 2 = 10 22 = 2.2
Listing Improper Fraction Equivalents Since we don't have the original improper fraction, we can't directly compare. However, the question implies that one of the options is the correct equivalent. Without additional information, we must assume there was a typo in the original question, and there should have been an improper fraction provided. Since we don't have the original improper fraction, we can only convert the mixed numbers to improper fractions. The improper fractions are: A. 10 25 B. 10 24 C. 10 23 D. 10 22
Simplifying the Mixed Numbers Without the original improper fraction, we cannot determine which mixed number is the correct equivalent. However, if we assume that the question intended to ask which of the options is a simplified form, we can simplify each fraction: A. 2 10 5 = 2 2 1 B. 2 10 4 = 2 5 2 C. 2 10 3 (already in simplest form) D. 2 10 2 = 2 5 1
Final Answer Since the original improper fraction is missing, we cannot definitively choose one of the options. However, based on the options provided, we can express them as improper fractions. Without the original improper fraction, we cannot determine the correct answer. Assuming the question intended to provide an improper fraction that simplifies to one of the given options, we cannot proceed further.
Conclusion Without the original improper fraction, it's impossible to determine the correct answer. However, if we assume the question is asking to convert the mixed numbers to improper fractions, we have the following options: A. 2 10 5 = 10 25 B. 2 10 4 = 10 24 C. 2 10 3 = 10 23 D. 2 10 2 = 10 22
Since we don't have the original improper fraction, we cannot select a definitive answer.
Examples
Mixed numbers and improper fractions are commonly used in everyday situations, such as cooking and baking. For example, a recipe might call for 2 2 1 cups of flour. This mixed number can be converted to the improper fraction 2 5 to easily measure out the correct amount. Understanding how to convert between mixed numbers and improper fractions is essential for accurate measurements and successful cooking.
