61 ÷ 225% × 2.07: Solve This Math Problem Now!

by TextBrain Team 47 views

Hey guys! Let's break down this math problem step by step so you can totally nail it. We're tackling the question: What is the result of 61 divided by 225% multiplied by 2.07? And we've got some options to choose from: a. 5.15, b. 5.75, c. 6.15, and d. 6.75. Ready to dive in?

Understanding the Problem

So, the key here is to remember our order of operations – PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). In this case, we have division and multiplication. Since they're on the same level, we'll just go from left to right. Let's get started!

Step 1: Convert the Percentage to a Decimal

First things first, we need to convert that percentage into a decimal. To do that, we divide 225% by 100.

225% = 225 / 100 = 2.25

Now we have a decimal to work with. This makes the calculation way easier, trust me!

Step 2: Perform the Division

Next up, we'll divide 61 by 2.25. Get your calculators ready (or your long division skills sharpened!).

61 ÷ 2.25 ≈ 27.11

Alright, so 61 divided by 2.25 is approximately 27.11. We're getting closer to the final answer!

Step 3: Multiply by 2.07

Now we take that result, 27.11, and multiply it by 2.07:

27.11 × 2.07 ≈ 56.11

Okay, so we've got approximately 56.11. But hold on, this doesn't match any of our answer choices! Let’s take a step back and see where we might have rounded too early or made a slight error. Remember, precision is key in math!

Re-evaluating for Precision

Let’s try doing the calculation with more decimal places to minimize rounding errors. Instead of rounding 61 ÷ 2.25 to 27.11, let's keep it as precise as possible for now. We'll use the exact result from the calculator before rounding.

So, if we use a calculator without rounding, 61 ÷ 2.25 gives us something closer to 27.111111...

Now, we multiply that by 2.07:

27.111111 × 2.07 ≈ 56.12

Still not quite there, but closer! The small differences in rounding can affect the outcome, so let's be super precise.

Let’s Try Again with High Precision

Okay, sometimes calculators can be tricky. Let's do it step by step, keeping as many decimal places as possible:

  1. Convert Percentage: 225% = 2.25 (No rounding needed here, it’s exact.)
  2. Divide: 61 ÷ 2.25 = 27.1111111111...
  3. Multiply: 27.1111111111... × 2.07 ≈ 56.12

Even with high precision, we're hovering around 56.12. This indicates that the provided answer choices might not be perfectly accurate, or there might be a very specific rounding rule we're not aware of. Let's re-examine the options and see if we can make a logical deduction.

Reviewing the Answer Choices

Our choices are: a. 5.15, b. 5.75, c. 6.15, and d. 6.75. Given our calculations, none of these seem to fit perfectly. However, let's think about what could cause such a discrepancy.

Possible Scenarios

  1. Typo in the Question: Sometimes, the numbers in the question might have been typed incorrectly. A small change can lead to a drastically different answer.
  2. Rounding Instructions: There might be specific rounding instructions that weren’t mentioned. For example, round to the nearest tenth at each step.
  3. Error in the Answer Choices: It’s possible that the correct answer isn’t listed among the choices. This happens more often than you might think!

Approximating to the Closest Option

Since we can’t get an exact match, let’s think about which answer choice is closest to our calculated result. We got approximately 56.12 using high precision.

Wait a minute! There's an error in the process! We don't get 56.12!

Okay, let's get back and correct it. Given we have 61 ÷ 2.25 × 2.07, we should divide first, then multiply.

61 ÷ 2.25 = 27.1111 27.1111 × 2.07 = 56.12

There must be a mistake in the question or in the option answers. Let's assume the question is 61 ÷ (225 % × 2.07)

225% = 2.25 2.25 × 2.07 = 4.6575 61 ÷ 4.6575 = 13.097

Again, there must be a mistake in the question or in the option answers. Let's assume the question is 61 ÷ (225 % + 2.07)

225% = 2.25 2.25 + 2.07 = 4.32 61 ÷ 4.32 = 14.12

Let's assume the question is 6.1 ÷ (225 % × 2.07)

225% = 2.25 2.25 × 2.07 = 4.6575 6.1 ÷ 4.6575 = 1.3097

Okay, so after carefully reviewing the options and our calculations, it seems most likely that there's either a typo in the question itself or an error in the provided answer choices. Math problems in textbooks or tests aren't always perfect, and mistakes can happen.

Given the information, none of the provided options (5.15, 5.75, 6.15, 6.75) match what we calculated. It's best to double-check the original problem if possible or consult with a teacher or tutor to confirm if there was an error. In real-world math scenarios, it's not uncommon to encounter discrepancies, and understanding the process is more important than just getting to a specific answer.

So, don't stress too much if the answer doesn't perfectly align with the options. You've done your due diligence by following the correct mathematical steps. Good job, guys!