3/4:6/8

To simplify the ratio \( \frac{3}{4} : \frac{6}{8} \), we can first express it as a division of fractions:

\[ \frac{3}{4} : \frac{6}{8} = \frac{3}{4} \div \frac{6}{8} \]

Dividing by a fraction is equivalent to multiplying by its reciprocal:

\[ \frac{3}{4} \div \frac{6}{8} = \frac{3}{4} \times \frac{8}{6} \]

Now, we can multiply the fractions:

\[ \frac{3 \times 8}{4 \times 6} = \frac{24}{24} = 1 \]

Thus, the ratio \( \frac{3}{4} : \frac{6}{8} \) simplifies to \( 1:1 \).