14/5:7/2

To simplify the ratio \( \frac{14}{5} : \frac{7}{2} \), you can convert it into a fraction:

\[ \frac{14}{5} \div \frac{7}{2} \]

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

\[ \frac{14}{5} \times \frac{2}{7} \]

Now perform the multiplication:

\[ \frac{14 \times 2}{5 \times 7} = \frac{28}{35} \]

Next, simplify \( \frac{28}{35} \). Both the numerator and denominator can be divided by 7:

\[ \frac{28 \div 7}{35 \div 7} = \frac{4}{5} \]

Thus, the simplified ratio \( \frac{14}{5} : \frac{7}{2} \) is \( 4 : 5 \).