12/18 as a mixed number fraction percentage

1 answer

To convert the fraction \( \frac{12}{18} \) to a percentage, we need to follow these steps:

### Step 1: Simplify the Fraction
First, let's simplify the fraction \( \frac{12}{18} \).

- Find the greatest common divisor (GCD) of 12 and 18. The GCD is 6.
- Divide both the numerator and the denominator by the GCD:

\[ \frac{12 \div 6}{18 \div 6} = \frac{2}{3} \]

So, \( \frac{12}{18} \) simplifies to \( \frac{2}{3} \).

### Step 2: Convert the Fraction to a Percentage
Next, convert \( \frac{2}{3} \) to a percentage.

- Divide 2 by 3 to convert the fraction to a decimal:

\[ 2 \div 3 = 0.6667 \quad (\text{rounded to four decimal places}) \]

- Convert the decimal to a percentage by multiplying by 100:

\[ 0.6667 \times 100 = 66.67\% \quad (\text{rounded to two decimal places}) \]

### Step 3: Answer
So, \( \frac{12}{18} \) as a percentage is approximately \( 66.67\% \).

Note: Since a mixed number involves an integer part and a fractional part, and the given fraction \( \frac{12}{18} \) simplifies to \( \frac{2}{3} \) which is a proper fraction, a mixed number representation is not applicable here. The fraction can be expressed as a decimal or percentage, as shown.