Find the mixed number equivalent to the improper fraction below.
[tex]$\frac{41}{11}$[/tex]
A. [tex]$3 \frac{8}{11}$[/tex]
B. [tex]$3 \frac{9}{11}$[/tex]
C. [tex]$3 \frac{7}{11}$[/tex]
D. [tex]$3 \frac{10}{12}$[/tex]
Answer (2)
Divide the numerator 41 by the denominator 11, which gives a quotient of 3 and a remainder of 8.
The quotient 3 becomes the whole number part of the mixed number.
The remainder 8 becomes the numerator of the fractional part, with the denominator remaining 11.
The mixed number is therefore 3 11 8 .
Explanation
Understanding the Problem We are asked to convert the improper fraction 11 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 need to divide the numerator by the denominator.
Performing the Division Divide the numerator (41) by the denominator (11). The result of this division will give us the whole number part and the remainder, which will be the numerator of the fractional part.
Finding Quotient and Remainder When we divide 41 by 11, we get a quotient of 3 and a remainder of 8. This can be written as: 41 ÷ 11 = 3 remainder 8
Constructing the Mixed Number The quotient (3) becomes the whole number part of the mixed number, and the remainder (8) becomes the numerator of the fractional part. The denominator of the fractional part remains the same as the original improper fraction, which is 11. Therefore, the mixed number is 3 11 8 .
Final Answer Thus, the mixed number equivalent to the improper fraction 11 41 is 3 11 8 .
Examples
Imagine you are baking a cake and the recipe calls for 11 41 cups of flour. It's easier to measure out 3 full cups and then 11 8 of another cup, rather than trying to measure 11 41 cups directly. Converting improper fractions to mixed numbers helps in real-life situations where we need to measure quantities more practically.
The improper fraction 11 41 converts to the mixed number 3 11 8 by dividing 41 by 11, resulting in a quotient of 3 and a remainder of 8. Therefore, the answer is A .3 11 8 .
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