Question

Deshawn completed 4/9 of a puzzle in 5/3 hours. If Deshawn's rate stayed the same, how much of this test was finished in one hour

Answer 1

12/45 or 4/15

Explanation:

To find out how much of the puzzle Deshawn completes in one hour, you can divide the fraction of the puzzle completed by the time it took:

Fraction of the puzzle completed = 4/9

Time taken = 5/3 hours

Now, let's calculate the rate at which Deshawn completes the puzzle in one hour:

Rate = Fraction completed / Time taken

Rate = (4/9) / (5/3)

To divide fractions, multiply by the reciprocal of the second fraction:

Rate = (4/9) * (3/5)

Now, simplify the fraction:

Rate = (4/9) * (3/5) = (4 * 3) / (9 * 5) = 12/45

Now, reduce the fraction to its simplest form:

Rate = (12/45) / (3/3) = (12/45) / 1 = 12/45

So, Deshawn completes 12/45 (or 4/15) of the puzzle in one hour.