Explanation:
To determine how much faster Miron was today than yesterday, we need to calculate the difference between the times he took to finish his tasks on each day and express that difference as a fraction of the original time.
Yesterday, Miron finished his tasks in 3/4 of an hour, so he took:
1 - 3/4 = 1/4 of an hour to finish his tasks yesterday.
Today, he finished his tasks in 5/12 of an hour.
To calculate the difference in time, we need to subtract the time Miron took today from the time he took yesterday:
1/4 - 5/12
We need to find a common denominator to add the two fractions. The least common multiple of 4 and 12 is 12. So we will convert both fractions to have a denominator of 12.
1/4 = 3/12
5/12 = 5/12
Now we can subtract the two fractions:
3/12 - 5/12 = -2/12
The result is negative because Miron took less time today than yesterday. To express this as a positive fraction, we can take the absolute value of the difference:
|-2/12| = 2/12
This simplifies to:
2/12 = 1/6
Therefore, Miron was 1/6 faster today than yesterday.