Which of the following correctly represents 4.244 as a mixed number?
A. $4 \frac{61}{250}$
B. $4 \frac{49}{200}$
C. $4 \frac{167}{500}$
D. $4 \frac{68}{125}$
Answer (1)
Separate the whole number and decimal parts: 4 + 0.244 .
Convert the decimal to a fraction: 0.244 = 1000 244 .
Simplify the fraction by dividing the numerator and denominator by their GCD (which is 4): 1000 244 = 250 61 .
Combine the whole number and the simplified fraction: 4 250 61 .
4 250 61
Explanation
Problem Analysis We need to convert the decimal number 4.244 into a mixed number and identify the correct representation from the given options.
Separating Whole and Decimal Parts First, we separate the whole number part and the decimal part: 4 + 0.244 .
Converting Decimal to Fraction Next, we convert the decimal part 0.244 into a fraction: 0.244 = 1000 244 .
Simplifying the Fraction Now, we simplify the fraction 1000 244 by finding the greatest common divisor (GCD) of 244 and 1000.
Dividing by the GCD The GCD of 244 and 1000 is 4. Dividing both the numerator and the denominator by 4, we get: 1000 ÷ 4 244 ÷ 4 = 250 61 .
Combining Whole and Fractional Parts Finally, we combine the whole number part and the simplified fraction: 4 + 250 61 = 4 250 61 .
Final Answer Comparing the result with the given options, we find that the correct representation of 4.244 as a mixed number is 4 250 61 .
Examples
Mixed numbers are useful in everyday situations, such as cooking and baking. For example, if a recipe calls for 4.244 cups of flour, it can be easier to measure out 4 250 61 cups using standard measuring cups. This conversion helps in accurately following recipes and ensures the desired outcome in cooking and baking.
