Solving One-Fifth Of The Result Of {(55 : 11)x 2} (12x5) 6 A Step-by-Step Guide
Hey guys! 👋 Ever stumbled upon a math problem that looks like a jumbled mess of numbers and operations? Don't worry, we've all been there! Today, we're going to break down a seemingly complicated problem step-by-step, making it super easy to understand. We're tackling the question: "Seperlima dari Hasil (55 (12x5) 6". Sounds intimidating, right? But trust me, with a little bit of order of operations magic, we'll conquer it together! So, grab your thinking caps, and let's dive into this mathematical adventure! 🚀
Understanding the Problem
Before we start crunching numbers, let's make sure we understand exactly what the problem is asking. The question, "Seperlima dari Hasil (55 (12x5) 6," is essentially asking us to find one-fifth (seperlima) of the result of a calculation. This calculation involves a series of operations nested within parentheses and brackets, which means we need to follow the order of operations (PEMDAS/BODMAS) to get the correct answer. Understanding this fundamental concept is crucial for correctly interpreting and solving the problem. We need to break down the problem into smaller, manageable steps to avoid getting lost in the complexity. Think of it like reading a map – we need to understand the destination (the final answer) and the route (the steps) to get there. Each component of the equation plays a vital role, and misinterpreting any part can lead to an incorrect result. Remember, mathematics is a precise language, and each symbol and term has a specific meaning. Therefore, a thorough understanding of the problem statement is the first and most important step in finding the solution. We need to identify the different operations involved, the numbers we are working with, and the overall structure of the equation. Only then can we confidently proceed towards solving the problem.
Step 1: Solving the Innermost Parentheses (55 : 11)
Okay, let's get our hands dirty with some actual math! According to the order of operations (PEMDAS/BODMAS), we always start with the innermost parentheses. In our problem, the innermost operation is (55 : 11), which means 55 divided by 11. This is a straightforward division problem. Think of it like this: how many times does 11 fit into 55? The answer, of course, is 5. So, (55 : 11) = 5. Now, why is this step so important? Well, it's like building a house – you need a strong foundation. In math, each step builds upon the previous one. If we mess up this initial calculation, the rest of the problem will be incorrect. So, we take our time, double-check our work, and make sure we've got it right. This simple division is the cornerstone of our solution, the first piece of the puzzle falling into place. It sets the stage for the subsequent operations and brings us one step closer to unraveling the entire problem. By focusing on this fundamental step, we lay a solid groundwork for the rest of our calculations, ensuring accuracy and confidence in our final answer. Remember, even the most complex problems are built from simple steps, and mastering these basics is key to success in mathematics. The result of this operation is crucial as it will be used in the next step, so accuracy here is paramount.
Step 2: Multiplying the Result by 2 (5 x 2)
Now that we've conquered the first set of parentheses, let's move on to the next operation. We found that (55 : 11) equals 5. The next step in our equation is to multiply this result by 2. So, we're doing 5 x 2. This is another fundamental multiplication problem. If you think of it as adding 5 to itself two times, or adding 2 to itself five times, the answer is pretty clear: 10. So, 5 x 2 = 10. This step is a crucial link in our chain of calculations. It takes the result from the previous step and transforms it into a new value, which will be used further down the line. It’s like adding an ingredient to a recipe – each ingredient plays a specific role, and this multiplication is adding a vital flavor to our mathematical dish. We’re building upon our previous success, step by step, to gradually simplify the problem. Every multiplication, division, addition, or subtraction is a piece of the puzzle, and each piece must fit perfectly to reveal the final picture. By mastering these fundamental operations, we equip ourselves with the tools to tackle even more complex challenges in the future. The result of this multiplication, 10, is a key value that will help us unlock the next level of the problem. This value needs to be accurate to ensure the final answer is correct. With each step we complete, we get closer to solving the overarching problem.
Step 3: Solving the Second Set of Parentheses (12 x 5)
Alright, guys, let's keep the momentum going! We've tackled the first part of the equation, and now it's time to focus on the second set of parentheses: (12 x 5). This is another multiplication operation, and it's crucial to get it right. So, what's 12 multiplied by 5? You can think of it as adding 12 five times, or adding 5 twelve times. Either way, the answer is 60. So, (12 x 5) = 60. This step is similar to the previous ones in that it isolates a specific part of the equation and simplifies it. By solving the parentheses first, we're reducing the complexity of the overall problem and making it more manageable. Imagine trying to assemble a complex piece of furniture without reading the instructions – it would be a chaotic mess! Similarly, in math, the order of operations is our instruction manual, guiding us through the steps in the correct sequence. This multiplication step, (12 x 5) = 60, is like placing another crucial piece of furniture in the right spot. It’s contributing to the overall structure and bringing us closer to a fully assembled solution. Each calculation we perform is a step forward, and this one is no exception. By accurately multiplying 12 and 5, we're paving the way for the final stages of the problem, where we'll combine all the individual results to find the ultimate answer. This result, 60, is a crucial component for the subsequent calculations.
Step 4: Putting it all Together: 10 60 6
Okay, now we're getting to the really exciting part – putting all our hard work together! We've simplified the equation step-by-step, and now we have 10 60 6. Remember, we got the 10 from solving (55 , and the 60 from solving (12 x 5). Now we have a simple expression with three numbers and two multiplication symbols. This might still look a bit intimidating, but we've broken it down into manageable chunks, and we're ready to tackle it. So, what do we do next? According to the order of operations, we perform multiplication from left to right. That means we multiply 10 and 60 first. So, 10 60 equals 600. We're almost there! We've taken a complex equation and transformed it into a straightforward calculation. This process of simplification is at the heart of problem-solving in mathematics. By breaking down a large, intimidating problem into smaller, more manageable steps, we can approach it with confidence and clarity. This step is like connecting the major components of a machine – we're linking the individual pieces we've created to form a functional whole. The value 600 is a significant milestone in our journey towards the final answer. It represents the combined result of the initial calculations, and it sets the stage for the final step. With each successful calculation, we build momentum and confidence, reinforcing our ability to tackle even more challenging problems in the future. Now, we're ready for the final multiplication, the last piece of the puzzle that will reveal the answer we've been seeking. This step is crucial as it combines the intermediate results into a single value.
Step 5: Final Multiplication: 600 6
Drumroll, please! 🥁 We've reached the final calculation! We've simplified the equation to 600 6. This is the last multiplication we need to perform to find the result of the entire expression within the brackets. So, what's 600 multiplied by 6? You can think of it as adding 600 six times, or you can break it down further: 6 times 6 is 36, and then we add the two zeros from the 600. So, 600 6 equals 3600. Woohoo! 🎉 We've cracked it! We've successfully navigated a complex equation and found the value of the expression within the brackets. This final multiplication is the culmination of all our previous efforts. It's the final stroke of the brush on a painting, the last note in a symphony. The result, 3600, represents the total value of the expression within the brackets, and it's a testament to our ability to break down a problem, step-by-step, and arrive at the correct answer. This moment of triumph is what makes mathematics so rewarding. The satisfaction of solving a challenging problem, the feeling of understanding a complex concept – these are the things that make the journey worthwhile. Now that we have this value, we're ready for the final step in the original problem: finding one-fifth of this result. The result of this multiplication is a key intermediate value required for the final answer.
Step 6: Finding Seperlima (One-Fifth) of 3600
Okay, we're in the home stretch now! We've calculated the value within the brackets to be 3600. The original question asked for "Seperlima dari Hasil," which means we need to find one-fifth of 3600. To find one-fifth of a number, we simply divide it by 5. So, we need to calculate 3600 / 5. Now, this might seem like a big division problem, but we can break it down. Think of it this way: How many times does 5 fit into 3600? You can use long division, or you can simplify it further. 3600 is the same as 36 hundreds, so we can divide 36 by 5, which gives us 7 with a remainder of 1. That means 5 fits into 35 seven times, so 5 fits into 3500 seven hundred times (700). Then we have 100 left over, and 5 fits into 100 twenty times (20). So, 700 + 20 equals 720. Therefore, 3600 / 5 = 720. And there you have it! We've found one-fifth of 3600, which is 720. This final step is the ultimate payoff for all our previous efforts. It's the grand finale, the moment when all the pieces of the puzzle come together to reveal the complete picture. Finding one-fifth of 3600 is like adding the final flourish to a masterpiece. It’s the culmination of all our hard work, the final step in a journey that has taken us through parentheses, multiplications, and divisions. With this calculation, we've successfully answered the original question and demonstrated our mastery of the order of operations. This result, 720, is the final answer to the original problem, and it represents the solution we’ve been working towards throughout our step-by-step journey.
Conclusion: The Final Answer is 720
Congratulations, math whizzes! 🎉 We've successfully navigated a seemingly complex problem and arrived at the final answer: 720. We started with "Seperlima dari Hasil (55 (12x5) 6" and, by following the order of operations and breaking the problem down into smaller, manageable steps, we conquered it! This journey has shown us the power of step-by-step problem-solving. By tackling each operation individually, we transformed a daunting equation into a series of simple calculations. We started with the innermost parentheses, worked our way outwards, and ultimately found the value of the entire expression. Remember, math isn't about magic or memorization; it's about understanding the rules and applying them systematically. The order of operations (PEMDAS/BODMAS) is our guiding principle, ensuring that we perform calculations in the correct sequence. This step-by-step approach is not only effective in mathematics but also in many other areas of life. By breaking down a large task into smaller, more manageable steps, we can increase our chances of success and reduce feelings of overwhelm. This final answer, 720, is more than just a number; it's a symbol of our perseverance, our problem-solving skills, and our ability to conquer challenges. So, the next time you encounter a complex problem, remember the lessons we've learned today. Break it down, step-by-step, and you'll be amazed at what you can achieve! Keep practicing, keep exploring, and keep enjoying the fascinating world of mathematics! You've earned it, guys! High five! 🖐️
