7/8:1/2

To simplify the ratio \( \frac{7}{8} : \frac{1}{2} \), you can convert it into a fraction:

\[ \frac{7}{8} : \frac{1}{2} = \frac{7}{8} \div \frac{1}{2} \]

Dividing by a fraction is the same as multiplying by its reciprocal:

\[ \frac{7}{8} \times \frac{2}{1} = \frac{7 \times 2}{8 \times 1} = \frac{14}{8} \]

Now, simplify \( \frac{14}{8} \):

\[ \frac{14}{8} = \frac{7}{4} \]

Therefore, the simplified ratio \( \frac{7}{8} : \frac{1}{2} \) is:

\[ 7 : 4 \]