Given :
Number of hours studied daily ,
.
Time given for science and mathematics is ,
.
To Find :
How much time does she devote for other subjects .
Solution :
Let , time devote for other student is x .
So , Time left for other subject = Total time - Time taken by science and mathematics .
![x=T-t\\\\x=5(2)/(3)-2(4)/(2)\\\\x=((5* 3)+2)/(3)- ((2* 2 )+4)/(2)\\\\x=(17)/(3)-4\\\\x=(17-(4* 3))/(3)\\\\x=(5)/(3)=1(2)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/46q4z4p7n89zk14kso1w6nt68syw9v5feo.png)
Therefore , time devote for other subject is
hours .
Hence , this is the required solution .