6.4 as fraction and reduce to lowest term

To convert 6.4 into a fraction and reduce it to its lowest terms, follow these steps:

1. **Write the decimal as a fraction**:  
   6.4 can be written as \( \frac{64}{10} \) because 6.4 is the same as 64 tenths.

2. **Simplify the fraction**:  
   Now, simplify \( \frac{64}{10} \) by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 64 and 10 is 2.
   \[
   \frac{64 \div 2}{10 \div 2} = \frac{32}{5}
   \]

Thus, 6.4 as a fraction in its simplest form is \( \frac{32}{5} \).

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you convert other decimals like 0.75 into fractions?
2. How can you find the greatest common divisor (GCD) of two numbers?
3. How do you convert a fraction back into a decimal?
4. How would you express 6.4 as a mixed number?
5. What is the difference between proper and improper fractions?

**Tip**: When simplifying fractions, always look for the greatest common divisor (GCD) to make sure you're reducing to the lowest terms.

Learn how to convert the decimal 6.4 into a fraction and reduce it to its lowest terms. The solution covers key math concepts like decimal-to-fraction conversion and fraction simplification using the greatest common divisor (GCD). Ideal for students in Grades 6-8.

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