Change the improper fraction into an equal mixed number. [tex]$\frac{41}{9}$[/tex]
Answer (2)
Divide the numerator 41 by the denominator 9, resulting in a quotient of 4 and a remainder of 5.
Use the quotient as the whole number and the remainder as the numerator of the fractional part, keeping the original denominator.
Express the improper fraction 9 41 as the mixed number 4 9 5 .
The final answer is 4 9 5 .
Explanation
Understanding the Problem We need to convert the improper fraction 9 41 into a mixed number. A mixed number consists of a whole number and a proper fraction. To convert an improper fraction to a mixed number, we divide the numerator by the denominator.
Performing the Division Divide the numerator (41) by the denominator (9). The result of the division is: 41 ÷ 9 = 4 with a remainder of 5
Forming the Mixed Number The quotient (4) becomes the whole number part of the mixed number, and the remainder (5) becomes the numerator of the fractional part. The denominator remains the same (9). Therefore, the mixed number is: 4 9 5
Final Answer So, the improper fraction 9 41 is equal to the mixed number 4 9 5 .
Examples
Imagine you are baking a cake that requires 9 41 cups of flour. Since measuring cups are usually in whole or fractional amounts, you would convert this improper fraction to a mixed number to easily measure the flour. 4 9 5 cups means you need 4 full cups and a little more, specifically 9 5 of another cup.
To convert the improper fraction 9 41 into a mixed number, you divide 41 by 9, which gives a quotient of 4 and a remainder of 5. This results in the mixed number 4 9 5 . Thus, 9 41 can be expressed as 4 9 5 .
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