To solve \( 0.6 \div 9 \), you can follow these steps:

1. **Write the division as a fraction**:
   \[
   0.6 \div 9 = \frac{0.6}{9}
   \]

2. **Convert the decimal to a fraction**:  
   \( 0.6 \) can be written as \( \frac{6}{10} \). So the expression becomes:
   \[
   \frac{6}{10} \div 9
   \]

3. **Divide by 9**:  
   Dividing by 9 is the same as multiplying by the reciprocal of 9, which is \( \frac{1}{9} \). Therefore:
   \[
   \frac{6}{10} \times \frac{1}{9} = \frac{6 \times 1}{10 \times 9} = \frac{6}{90}
   \]

4. **Simplify the fraction**:  
   Both the numerator and the denominator can be divided by their greatest common divisor, which is 6:
   \[
   \frac{6 \div 6}{90 \div 6} = \frac{1}{15}
   \]

So, \( 0.6 \div 9 = \frac{1}{15} \).

Alternatively, as a decimal:
\[
\frac{1}{15} \approx 0.0667
\]

Thus, \( 0.6 \div 9 = 0.0667 \) (rounded to four decimal places).

Would you like more details or have any questions? Here are some related questions:

1. What is \( 0.6 \div 3 \)?
2. How do you convert \( 0.6 \) into a fraction and simplify it?
3. What is the decimal result of \( \frac{1}{15} \)?
4. How would you solve \( 0.06 \div 9 \)?
5. Can you calculate \( 1.2 \div 9 \) and express it as a fraction?

**Tip**: When dividing decimals, converting them into fractions can often make the process clearer and easier to follow.

Learn how to divide 0.6 by 9, convert the decimal into a fraction, and simplify the result. This step-by-step guide covers key concepts in dividing decimals and simplifying fractions, perfect for students in Grades 5-7.

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