Someone runs 3/6 of a distance run and the other person runs 3/8 which one has ran the farthest
The person who ran 3/6 of a distance because 6<8, and in questions with the same top (I can't remember the name) the answer is the one with the lowest denominator.
You can compare them by either changing them to decimals or to equivalent fractions with the same denominators.
3/6 = 12/24 = 0.5
3/8 = 9/24 = 0.375
To determine who has run the farthest, we need to compare the distances run by each person.
Let's start by simplifying the fractions:
The first person runs 3/6 of the distance, which can be simplified to 1/2 since both the numerator and denominator can be divided by 3.
The second person runs 3/8 of the distance, which cannot be simplified further.
Now, we can compare the fractions:
Since 1/2 is greater than 3/8, it means that the first person has run the farthest.
To determine which person has run the farthest, we need to compare the fractions 3/6 and 3/8.
To make a fair comparison, we need to find a common denominator for the two fractions. The least common multiple of 6 and 8 is 24.
Next, we need to convert both fractions to have a denominator of 24. To do this, we multiply the numerator and denominator of each fraction by the same value.
For the fraction 3/6:
- Multiply both the numerator and denominator by 4 to get 12/24.
For the fraction 3/8:
- Multiply both the numerator and denominator by 3 to get 9/24.
Now, we can see that 12/24 is greater than 9/24.
Therefore, the person who ran 3/6 of the distance has run the farthest, as 12/24 is greater than 9/24.