Question

Amy, Zac and Harry are running a race.

Zac has run
1/2 of the race.
Amy has run
3/4of the race.
Harry has run
1/4of the race.
Who has run the shortest distance?
Explain your answer. pl

Answer 1

To determine who has run the shortest distance, we need to compare the distances each person has run.

Let's assume that the total distance of the race is "x" units.

Zac has run 1/2 of the race, which is equal to (1/2)x units.

Amy has run 3/4 of the race, which is equal to (3/4)x units.

Harry has run 1/4 of the race, which is equal to (1/4)x units.

To compare the distances, we can convert the fractions to decimals:

• Zac has run 0.5x units

• Amy has run 0.75x units

• Harry has run 0.25x units

Therefore, Harry has run the shortest distance, as he has only run 0.25x units, which is less than the distances run by both Zac and Amy.

Alternatively, we can also compare the fractions directly by finding a common denominator. The common denominator of 2, 4, and 8 (the denominators of 1/2, 3/4, and 1/4) is 8.

• Zac has run 4/8 of the race

• Amy has run 6/8 of the race

• Harry has run 2/8 of the race

Again, we can see that Harry has run the shortest distance, as he has only run 2/8 or 1/4 of the race, which is less than the distances run by both Zac and Amy.