10-6/100-40-12 + 2/10+2 = 1/4 step by step

Let's solve the equation step by step:

Given equation:
\[
10 - \frac{6}{100} - 40 - 12 + \frac{2}{10} + 2 = \frac{1}{4}
\]

### Step 1: Simplify the fractions

- \(\frac{6}{100} = 0.06\)
- \(\frac{2}{10} = 0.2\)

Now substitute these values into the equation:
\[
10 - 0.06 - 40 - 12 + 0.2 + 2 = \frac{1}{4}
\]

### Step 2: Combine the constants

Combine the constants on the left side:
\[
(10 - 40 - 12 + 2) = -40
\]
Now update the equation:
\[
-40 - 0.06 + 0.2 = \frac{1}{4}
\]

### Step 3: Simplify further

\[
-40 - 0.06 + 0.2 = -39.86
\]
Now the equation is:
\[
-39.86 = \frac{1}{4}
\]

### Step 4: Compare both sides

Clearly, \(-39.86\) is not equal to \(\frac{1}{4}\). This means the given equation is not true or has been set up incorrectly.

Would you like more details or have any questions?

Here are some related questions for you to consider:
1. What if we change the fractions to improper fractions instead of decimals?
2. How would this change if the constant terms were slightly different?
3. Can you provide an equation where the left side equals \(\frac{1}{4}\)?
4. How does decimal precision affect the accuracy of an equation?
5. How do we solve an equation with both fractions and decimals?

**Tip:** Always simplify fractions first when solving equations, as this helps reduce calculation errors.

10 - 6/100 - 40 - 12 + 2/10 + 2 = 1/4 step by step

Learn how to solve the equation 10 - 6/100 - 40 - 12 + 2/10 + 2 = 1/4, using step-by-step methods to simplify fractions and decimals. This detailed guide covers arithmetic operations and conversions suitable for Grades 6-8 students.

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