# Question #73fe5

Dec 31, 2016

$2 \frac{1}{2} : 1$ is the same as $5 \text{ ":" } 2$

#### Explanation:

This is the ratio $2 \frac{1}{2} : 1$ which can also be written as $2.5 : 1$

However, both of these forms are not written in correct ratio form which only uses whole numbers.

$2 \frac{1}{2} : 1$ can be written as $\frac{5}{2} : 1$

Multiplying both sides by 2 will solve the problem of the $\frac{1}{2}$

$\frac{5}{2} \times 2 \text{ ":" } 1 \times 2$

gives the ratio $\text{ "5" " :" } 2$

For the decimal, multiplying by 10 will get rid of the decimal.

$2.5 \times 10 \text{ " :" } 1 \times 10$

$25 \text{ ":" " 10" } \leftarrow$ divide both by 5

$5 \text{ ":" } 2$ is the ratio