Question

What is 6.4
written as a fraction? Express your answer as a fraction in simplified form.(1 point)
Incorrect

Use place value to help convert the decimal to a fraction, and then simplify the fraction, if possible. The whole number in the decimal will be the whole number in the mixed number.

Answer 1

To convert the decimal 6.4 to a fraction, we can follow these steps:

1. **Identify the whole number and the decimal part**: The whole number is 6, and the decimal part is 0.4.

2. **Convert the decimal to a fraction**:
- The decimal 0.4 can be expressed as \( \frac{4}{10} \) because there is one digit after the decimal point (which indicates tenths).

3. **Combine the whole number and the fraction**:
- This gives us \( 6 + \frac{4}{10} \).

4. **Convert this to an improper fraction**:
- The whole number 6 can be expressed as \( \frac{60}{10} \) (since \( 6 = \frac{60}{10} \)).
- Now, we can add these fractions:
\[
\frac{60}{10} + \frac{4}{10} = \frac{60 + 4}{10} = \frac{64}{10}.
\]

5. **Simplify the fraction**:
- The fraction \( \frac{64}{10} \) can be simplified by finding the greatest common divisor (GCD) of 64 and 10.
- The GCD of 64 and 10 is 2.
- Divide both the numerator and denominator by 2:
\[
\frac{64 \div 2}{10 \div 2} = \frac{32}{5}.
\]

Therefore, 6.4 expressed as a simplified fraction is \( \frac{32}{5} \).