Answer:
hours
Explanation:
Given,
Time spent in studies :
hours
Time spent in playing cricket :
hours
Now, let's find the time that he spent in all:
![1 (3)/(4) + 2 (1)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/1rj97keqh1wno0p07kuy3351enpgeewz4b.png)
Add the whole number and fractional parts of the mixed numbers separately
![(1 + 2)( (3)/(4) + (1)/(2) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/jfzlqh3yee4j2j054uhh71k93sqq59rlph.png)
Add the numbers
![3 +( (3)/(4) + (1)/(2) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/ltbcu2y4q12us0anpuv8ckrqhrqhg6sm1k.png)
Add the fractions
![3 + ( (3 + 1 * 2)/(4) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/t4r6r59agkh1dndwicnnzin6wsqyju1cp2.png)
![3 + ( (3 + 2)/(4) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/9zg3jlb35rc21e3t1gcmm5xc6dlw0u11e0.png)
![3 + (5)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/6t1strmc3oxc9fiuyu5oebe7mb0tkesgfj.png)
Convert the improper fraction into mixed number
![3 + 1(1)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/8dd2yxf99ueksia87d4u8h7da7t1p20n6i.png)
Write the mixed number as a sum of the whole number and the fractional part
![3 + 1 + (1)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ld6484y5o465d18ex5gts5j1zavb5t3ya8.png)
Add the numbers
![4 + (1)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/bv8hvkwdd6muuo5e15zexi15ohw1l7gzok.png)
Write the sum of whole number and the fraction as a mixed number
hours
Hope this helps..
Best regards!!