Given :
Challenge given is to volunteer for about 1 1/2 hours per week .
Autum did at a rate of 6 3/4 hours per week .
To Find :
The comparison ( ratio ) her volunteers rate with the challenge rate .
Solution :
Simplifying challenge rate in in normal fraction ,
.
Also , simplifying her rate ,
.
Now , ratio of his work by challenge is :
![R=\dfrac{\dfrac{27}{4}}{\dfrac{3}{2}}\\\\\\R=\dfrac{27\times 2}{4\times 3}\\\\R=\dfrac{9}{2}](https://tex.z-dn.net/?f=R%3D%5Cdfrac%7B%5Cdfrac%7B27%7D%7B4%7D%7D%7B%5Cdfrac%7B3%7D%7B2%7D%7D%5C%5C%5C%5C%5C%5CR%3D%5Cdfrac%7B27%5Ctimes%202%7D%7B4%5Ctimes%203%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B9%7D%7B2%7D)
Therefore , the ratio is 9/2 or 4 1/2 .
Hence , this is the required solution .