If There Are 3 Runners On The Track And Runner 1 Has Done 3 1/2 Laps, Runner 2 Has Done 4 3/4 Laps And Runner 3 Has Done 2 1/8 Laps, How Many Laps Have All 3 runners Done Combined?

Please explain your logic before posting all the questions.

Add all the laps.

To find the total number of laps done by all three runners combined, we need to add up the number of laps completed by each runner individually.

Given:
Runner 1: 3 1/2 laps
Runner 2: 4 3/4 laps
Runner 3: 2 1/8 laps

Step 1: Convert Mixed Fractions to Improper Fractions
To make calculations easier, we convert mixed fractions to improper fractions.

Runner 1: 3 1/2 laps = 7/2 laps
Runner 2: 4 3/4 laps = 19/4 laps
Runner 3: 2 1/8 laps = 17/8 laps

Step 2: Find the Sum of Laps
Add up the number of laps completed by each runner.

Total laps = 7/2 + 19/4 + 17/8

Step 3: Find a Common Denominator
To add the fractions, we need to find a common denominator.

The least common multiple (LCM) of 2, 4, and 8 is 8.

Step 4: Convert Fractions to Have the Same Denominator
Convert all the fractions to have a denominator of 8.

Total laps = (7/2) * (4/4) + (19/4) * (2/2) + (17/8)

Total laps = 28/8 + 38/8 + 17/8

Step 5: Find the Sum
Add the fractions with the same denominator.

Total laps = (28 + 38 + 17) / 8

Total laps = 83/8

Step 6: Simplify the Fraction
If possible, simplify the fraction.

83/8 is already in its simplest form.

So, the three runners have collectively completed 83/8 laps, or 10 3/8 laps in mixed fraction form.