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55 divided by 12

55 divided by 12

2 min read 20-10-2024
55 divided by 12

55 Divided by 12: A Look at Division and Remainders

The question "What is 55 divided by 12?" might seem simple at first glance, but it reveals a crucial concept in mathematics: division with remainders. Let's delve into this concept and explore the answer in detail.

Understanding Division and Remainders

Division is the process of splitting a whole into equal parts. In our case, we want to divide 55 into 12 equal parts. This means we're trying to find out how many times 12 fits into 55.

However, 12 doesn't divide evenly into 55. This means there will be some leftover, which we call the remainder.

Calculating 55 Divided by 12

We can find the answer in a couple of ways:

  1. Long Division:

         4
       ----
     12|55
         48
         ---
           7
    

    In long division, we find that 12 goes into 55 four times (4 x 12 = 48). Subtracting 48 from 55 leaves a remainder of 7.

  2. Using a Calculator: Most calculators will give you the result as 4.583333... This is the decimal representation of the answer.

Interpreting the Results

So, what does this mean?

  • Quotient: The answer to the division, 4, is called the quotient. This tells us that 12 goes into 55 four whole times.
  • Remainder: The remainder, 7, is the amount left over after dividing 55 by 12.

Practical Applications

Understanding division with remainders has many real-world applications:

  • Sharing Items: If you have 55 cookies and want to share them equally among 12 friends, each friend would get 4 cookies, and there would be 7 cookies left over.
  • Time: If a journey takes 55 minutes and you travel in 12-minute intervals, you will complete four intervals (48 minutes) and have 7 minutes remaining.
  • Measurement: If you need to cut a piece of ribbon that is 55 inches long into 12-inch pieces, you can cut four pieces and will have 7 inches of ribbon leftover.

Conclusion

55 divided by 12 equals 4 with a remainder of 7. This understanding of division with remainders is essential for solving many practical problems in everyday life.

Note: This article is based on concepts commonly discussed in mathematics and does not rely on specific GitHub contributions. It aims to provide a clear and concise explanation of division with remainders, along with relevant examples and applications.

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