in a marathon, Hamish had to run a total distance of 11/12. he ran 4/5 of the distance. how many miles did he run
What is 11/12?
To find out how many miles Hamish ran in the marathon, we can start by calculating the distance he ran as a fraction of the total distance.
Hamish ran 4/5 of the total distance, which we'll represent as a fraction: (4/5) * (11/12).
To multiply fractions, multiply the numerators (top numbers) together and the denominators (bottom numbers) together. So the calculation becomes: (4 * 11) / (5 * 12).
Multiplying the numerators gives us 44, and multiplying the denominators gives us 60. Therefore, Hamish ran 44/60 of the total distance.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4. Dividing 44 by 4 gives us 11, and dividing 60 by 4 gives us 15.
So, Hamish ran a distance of 11/15 of the total marathon distance.
Please note that without knowing the total distance of the marathon, we cannot convert this fraction into a specific number of miles. However, we can say that Hamish ran 11/15 of the total marathon distance.