Answer:
The ratio 2 1/2 to 6 1/2 is
[tex]\frac{5}{13}\\or\\5:13[/tex]
Step-by-step 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,
[tex]2\frac{1}{2}=\frac{4+1}{2}\\\\2\frac{1}{2}=\frac{5}{2}\\\\and\\\\6\frac{1}{2}=\frac{12+1}{2}\\\\6\frac{1}{2}=\frac{13}{2}[/tex]
Ratio of 2 1/2 to 6 1/2
[tex]\frac{\frac{5}{2}}{\frac{13}{2}} = \frac{5}{13}\ \textrm{The number 2 will be cancelled from Numerator and Denominator} \\\\Hence,\\Final\ Ratio\ is\ 5 :13[/tex]
OR
[tex]\frac{5}{13}[/tex]
