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The problem asks to convert the decimal **0.77** to a fraction in its simplest form.

### Steps to convert 0.77 to a fraction:
1. **Write the decimal as a fraction**:
   \[
   0.77 = \frac{77}{100}
   \]
   This is because there are two digits after the decimal point, so we place the number over 100 (which is \(10^2\)).

2. **Simplify the fraction**:
   Check for any common factors between the numerator (77) and the denominator (100). Since 77 and 100 have no common factors other than 1, the fraction is already in its simplest form.

Thus, the answer is:
\[
\frac{77}{100}
\]

Do you want more details or have any questions?

Here are 5 related questions:
1. How would you convert 0.125 into a fraction?
2. Can you explain why \(0.333...\) is equal to \( \frac{1}{3} \)?
3. How do you convert a repeating decimal like \(0.666...\) into a fraction?
4. What is the fraction form of 1.25?
5. How can you simplify the fraction \(\frac{225}{300}\)?

**Tip**: To convert a decimal to a fraction, count the decimal places to determine the power of 10 to use in the denominator!

Convert the decimal 0.77 to a fraction in simplest form.

Learn how to convert the decimal 0.77 to a fraction in its simplest form. Understand key mathematical concepts like decimals, fractions, and simplification, suitable for students in Grades 6-8.

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