Question

Convert 0, point, 4, 0, 60.406 to a fraction in simplest form and a percent.
Answer
Attempt 1 out of 2

Fraction:
Percent (Edit the repeating and non-repeating part)

Answer 1

To convert the decimal 0.406 to a fraction, we can follow these steps:

### Step 1: Convert to Fraction
1. Write 0.406 as \(\frac{406}{1000}\) because there are three digits after the decimal.
2. Next, simplify the fraction \(\frac{406}{1000}\).

**Finding the GCD**:
- The prime factorization of 406: \(2 \times 203\) (where 203 is a prime number).
- The prime factorization of 1000: \(10^3 = 2^3 \times 5^3\).
- The GCD of 406 and 1000 is 2.

**Now, divide both the numerator and the denominator by their GCD**:
- Numerator: \(406 \div 2 = 203\)
- Denominator: \(1000 \div 2 = 500\)

So, the simplest form of the fraction is:
\[
\frac{203}{500}
\]

### Step 2: Convert to Percent
To convert the decimal to percent:
0.406 × 100 = 40.6%

### Final Answer
**Fraction**: \(\frac{203}{500}\)
**Percent**: \(40.6\%\)