Change the improper fraction into an equal mixed number. [tex]\frac{135}{11}[/tex]
Answer (1)
Divide the numerator 135 by the denominator 11.
Find the quotient and remainder: 135 ÷ 11 gives a quotient of 12 and a remainder of 3.
Form the mixed number using the quotient as the whole number and the remainder as the numerator: 12 11 3 .
The improper fraction 11 135 is equal to 12 11 3 .
Explanation
Understanding the Problem We need to convert the improper fraction 11 135 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. The quotient becomes the whole number part, and the remainder becomes the numerator of the fractional part, keeping the same denominator.
Division First, we divide 135 by 11 to find the quotient and the remainder.
Finding Quotient and Remainder When we divide 135 by 11, we get a quotient of 12 and a remainder of 3. This can be written as: 135 ÷ 11 = 12 remainder 3
Forming the Mixed Number The quotient 12 becomes the whole number part of the mixed number, and the remainder 3 becomes the numerator of the fractional part. The denominator remains 11. Therefore, the mixed number is 12 11 3 .
Final Answer So, the improper fraction 11 135 is equal to the mixed number 12 11 3 .
Examples
Mixed numbers are useful in everyday situations, such as measuring ingredients for a recipe. For example, if you need 4 5 cups of flour, you can express this as 1 4 1 cups, which is easier to measure using standard measuring cups. Similarly, when calculating time, like 2 7 hours, it's more practical to say it's 3 2 1 hours or 3 hours and 30 minutes. This conversion helps in better understanding and application of quantities in real-life scenarios.
