To simplify the ratio \( \frac{1}{2} : 2 \), you can express it in terms of fractions or as a division:
- Write as a fraction: \( \frac{\frac{1}{2}}{2} \).
- This can be simplified further. To do so, convert \( 2 \) into a fraction: \( 2 = \frac{2}{1} \).
- Now, divide \( \frac{1}{2} \) by \( \frac{2}{1} \): \[ \frac{1}{2} \div \frac{2}{1} = \frac{1}{2} \times \frac{1}{2} = \frac{1 \times 1}{2 \times 2} = \frac{1}{4} \]
So, the simplified form of the ratio \( \frac{1}{2} : 2 \) is \( \frac{1}{4} \), or you can also express it in terms of a ratio by saying \( 1 : 8 \) when multiplying both sides by 4.
Thus, \( \frac{1}{2} : 2 \) can be simplified to \( 1 : 4 \) if you prefer expressing it in standard ratio form.