Let's solve the equation \(0.4 = \left(\frac{4243}{4243} + x\right) \times 100\).

### Step 1: Simplify the fraction
- Simplify the fraction \(\frac{4243}{4243}\):
  \[
  \frac{4243}{4243} = 1
  \]
  
Now, the equation becomes:
\[
0.4 = (1 + x) \times 100
\]

### Step 2: Expand and solve for \(x\)
- Divide both sides by 100 to isolate the expression involving \(x\):
  \[
  \frac{0.4}{100} = 1 + x
  \]
- Simplify the left side:
  \[
  0.004 = 1 + x
  \]

### Step 3: Solve for \(x\)
- Subtract 1 from both sides:
  \[
  x = 0.004 - 1
  \]
- Calculate the right-hand side:
  \[
  x = -0.996
  \]

So, the solution is \(x = -0.996\).

Would you like more details or have any questions?

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Here are some related questions for further practice:

1. Solve the equation \(0.5 = (1 + x) \times 50\).
2. If \(0.3 = (1 + y) \times 10\), what is the value of \(y\)?
3. Simplify and solve the equation \(1 = (2 + z) \times 0.1\).
4. What is the solution to \(\frac{1}{4} = (2x + 3) \times 0.25\)?
5. Solve the equation \(0.6 = (5 + x) \times 20\).

**Tip:** When dealing with fractions or percentages in equations, simplifying the fractions first can make solving the equation much easier.

Learn how to solve the equation 0.4 = (1 + x) * 100 step-by-step with detailed explanations. This problem involves fractions, equation solving, and percentage calculation. Suitable for students in Grades 7-9.

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