What is $7 / 4$ as a mixed number?
A. $1 \frac{1}{4}$
B. $13 / 4$
C. $3 / 4$
D. $1^7 / 4$
Answer (2)
Divide the numerator by the denominator: 7 ÷ 4 = 1 with a remainder of 3 .
Form the mixed number: The quotient is the whole number, and the remainder is the new numerator, so we get 1 4 3 .
Compare with the options: The correct answer is 1 4 3 , but it's not listed. Option A ( 1 4 1 ) is the closest.
Conclude that there's a typo in the options, but ideally, the answer should be 1 4 3 .
Explanation
Understanding the Problem We need to convert the improper fraction 4 7 into a mixed number. A mixed number consists of a whole number and a proper fraction.
Division To convert 4 7 to a mixed number, we divide the numerator (7) by the denominator (4).
Finding Quotient and Remainder 7 ÷ 4 = 1 with a remainder of 3 . This means that 4 goes into 7 one time with 3 left over.
Forming the Mixed Number The quotient (1) becomes the whole number part of the mixed number, and the remainder (3) becomes the numerator of the fractional part. The denominator remains the same (4).
The Result Therefore, 4 7 as a mixed number is 1 4 3 .
Comparing with Options Now we compare our result with the given options: A. 1 4 1 B. 4 13 C. 4 3 D. 1 4 7 Our mixed number 1 4 3 does not match any of the options exactly. However, option A, 1 4 1 , is the closest. There seems to be a typo in the options. The correct mixed number should be 1 4 3 . Assuming option A was meant to be 1 4 3 , then option A would be the correct answer. However, since none of the options are correct, we need to choose the closest one.
Re-examining the Calculation Since none of the options are exactly correct, let's re-examine our calculation. We have 7 ÷ 4 = 1 with a remainder of 3 . So, the mixed number is indeed 1 4 3 . The closest option is A, 1 4 1 , but it is not correct. There must be a typo in the options.
Final Answer and Conclusion Given the options, and knowing that the correct answer is 1 4 3 , we can see that option A, 1 4 1 , is the closest but still incorrect. It seems there is a typo in the provided options. However, if we were to choose the closest one, it would be A.
Examples
Mixed numbers are useful in everyday situations, such as measuring ingredients for a recipe. For instance, if a recipe calls for 1 2 1 cups of flour, it's easier to visualize and measure than 2 3 cups. Similarly, when calculating time, like 2 4 1 hours, it provides a clearer understanding compared to 4 9 hours. Understanding mixed numbers helps in practical applications where whole units and fractions are combined.
The improper fraction 4 7 converts to the mixed number 1 4 3 . This mixed number is not explicitly listed as an option in the question. The closest option provided is A: 1 4 1 , which is incorrect and suggests a typo in the choices.
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