Question

Dan has ridden 33 miles of a bike course. The course is 60 miles long. What percentage of the course has Dan ridden so far?

Answer 1

He has ridden 55% of the course. You have to divide 33 by 60 to get .55
Then you just turn the decimal .55 into a percentage which is 55%

Answer 2

55%

Explanation:

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 33/60 is 60, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 60 = 1.6666666666667

Once we have that, we can multiple both the numerator and denominator by this multiple:

33 x 1.6666666666667

60 x 1.6666666666667

=

55

100

Now we can see that our fraction is 55/100, which means that 33/60 as a percentage is 55%.

We can also work this out in a simpler way by first converting the fraction 33/60 to a decimal. To do that, we simply divide the numerator by the denominator:

33/60 = 0.55

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.55 x 100 = 55%