Final answer:
In this case, Madhur spent 6/11 hours cleaning his room.
None of the given options is correct
Step-by-step explanation:
To find out how much time Madhur spent cleaning his room, we need to multiply the fraction of his free time by the fraction of time he spent cleaning.
Given:
- Madhur had 8/11 hours of free time.
- He spent 3/4 of his free time cleaning his room.
To calculate the time spent cleaning, we can multiply the two fractions:
(8/11) * (3/4)
To simplify this multiplication, we multiply the numerators (8 * 3) and the denominators (11 * 4):
(8/11) * (3/4) = (24/44)
The fraction (24/44) can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:
(24/44) = (6/11)
Therefore, Madhur spent 6/11 hours cleaning his room.
None of the given options is correct