Simplify the ratio:
`1/6 : 1/8`

Answer

To simplify the ratio \( \frac{1}{6} : \frac{1}{8} \), we can follow these steps:

### Step 1: Write the ratio in fraction form
The given ratio \( \frac{1}{6} : \frac{1}{8} \) can be expressed as a fraction:
\[ \frac{\frac{1}{6}}{\frac{1}{8}} \]

### Step 2: Simplify the fraction
To simplify this fraction, we can multiply by the reciprocal of the denominator:
\[ \frac{1}{6} \div \frac{1}{8} = \frac{1}{6} \times \frac{8}{1} = \frac{8}{6} \]

### Step 3: Reduce the fraction
Now, we can simplify \( \frac{8}{6} \) by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
\[ \frac{8 \div 2}{6 \div 2} = \frac{4}{3} \]

### Step 4: Write the simplified ratio
Thus, the simplified ratio \( \frac{1}{6} : \frac{1}{8} \) is:
\[ 4 : 3 \]

### Final Answer:
The simplified ratio is \( 4 : 3 \).

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