Question

Convert 0, point, 6, 2, 20.622 to a fraction in simplest form and a percent.

Answer 1

To convert the decimal \(0.620622\) to a fraction and a percent, follow these steps:

### Step 1: Convert to a Fraction
The decimal \(0.620622\) can be expressed as:

\[
\frac{620622}{1000000}
\]

Now, we simplify this fraction. First, we need to find the greatest common divisor (GCD) of the numerator and denominator.

### Step 2: Simplifying the Fraction

1. The numerator is \(620622\) and the denominator is \(1000000\).
2. We can find the GCD either through the Euclidean algorithm or using prime factorization, but calculators or software can also help.

After finding the GCD, we divide both the numerator and the denominator by that GCD. On performing this calculation, the GCD is determined to be \(2\).

Now we divide:

\[
\frac{620622 \div 2}{1000000 \div 2} = \frac{310311}{500000}
\]

Thus, the fraction in simplest form is:

\[
\frac{310311}{500000}
\]

### Step 3: Convert to a Percent
To convert to a percent, multiply the decimal by \(100\):

\[
0.620622 \times 100 = 62.0622\%
\]

### Summary of Results
- **Fraction:** \(\frac{310311}{500000}\)
- **Percent:** \(62.0622\%\)

If needed, we can round the percent to two decimal places, resulting in approximately \(62.06\%\).