Question

Find the ratio 2 1/2 to 6 1/2​

Answer 1

The ratio 2 1/2 to 6 1/2​ is

`(5)/(13)\\or\\5:13`

Explanation:

Ratio:

In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.

It is also the Fraction

.

For example, if a bowl of fruit contains eight apples and six kiwis, then the ratio of apples to kiwis is eight to six.

i.e 8:6, which is equivalent to the ratio 4:3.

Now here,

`2(1)/(2)=(4+1)/(2)\\\\2(1)/(2)=(5)/(2)\\\\and\\\\6(1)/(2)=(12+1)/(2)\\\\6(1)/(2)=(13)/(2)`

Ratio of 2 1/2 to 6 1/2

`((5)/(2))/((13)/(2)) = (5)/(13)\ \textrm{The number 2 will be cancelled from Numerator and Denominator} \\\\Hence,\\Final\ Ratio\ is\ 5 :13`

OR

`(5)/(13)`