Understanding How -6 Fits into the Equation When Simplifying 0.66 to 33/50 for 15-Year-Olds

Let’s break this down step by step.

First, you correctly simplified the decimal 0.66 to a fraction. Here’s how:

1. Convert 0.66 to a fraction: Write 0.66 as 66/100.
2. Simplify 66/100: Both 66 and 100 can be divided by 2. This gives you:
• 66 ÷ 2 = 33
  100 ÷ 2 = 50
  
3. This results in the simplified fraction: 33/50.

Now, regarding -6 that you mentioned — it’s essential to clarify its role:

1. If you are adding -6 as part of an equation or expression you are evaluating that involves the fraction 33/50, it is likely necessary for that specific context. It could represent a change in value, such as a loss of amount.
2. For instance, if you started with a total and then wanted to calculate the remaining amount after subtracting 6, you might see something like:
• Initial value = 33/50 (which could represent a fraction of some amount)
• Change = -6
3. Putting it together: You need to understand that you are shifting the amount by -6. This operation serves a purpose and isn't just for 'proving a point.'

In summary, you simplified 0.66 to 33/50 correctly, and if you see -6 added or subtracted in a problem, analyze what the problem is asking. It's part of the equation to help illustrate a scenario or context in problem-solving!