Express 55 minutes as a fraction of 11/3 hours. Please show work

(55/60)/(11/3)= 55*3/(60*11)=165/660

and you can reduce that

33/220

I don't know where 'bobpursley' learned his math, or why he keeps answering math questions on this site incorrectly, but here's how it's actually done.

There are 60 minutes in an hour, so 55 minutes can be expressed, very simply, as 55 / 60

To reduce this fraction, look for a common factor in 55 and 60; in this case 5. So dividing by 5, both top & bottom, 55 / 60 = 11 / 12

Now to express 11 / 12 (55 minutes) as a fraction of 11 / 3 hours, simply divide them:
(11 / 12) / (11 / 3)

But remember, whenever you divide by a fraction, you can simply multiply by its reciprocal, so it becomes:
(11 / 12) * (3 / 11)

You see that the 11's cancel out, so multiplying across you get:
3 / 12

which simplifies down to
1 / 4

----- OR -----

Alternatively, you can multiply (11 / 3) by 60, to find out how many minutes is in (11 / 3) hours. So, (11 / 3) * 60 = 220 minutes

Now divide 55 by 220 and reduce:
(55 / 220)
= 1 / 4

To express 55 minutes as a fraction of 11/3 hours, we first need to convert the minutes to hours.

1 hour is equal to 60 minutes, so we can write:

55 minutes = 55/60 hours

Next, we need to find the fraction of 11/3 hours that is equivalent to 55/60 hours.

We can set up a proportion to solve for the fraction we want:

(55/60 hours) / (11/3 hours) = x / 1

To simplify, we can multiply the numerator and denominator of the left side by the reciprocal of 11/3 hours, which is 3/11:

(55/60 hours) * (3/11) = x / 1

Multiplying the numerators and denominators:

(55 * 3) / (60 * 11) = x / 1

Simplifying the numerator and denominator:

165 / 660 = x / 1

Now, we can simplify the fraction 165/660. The greatest common divisor (GCD) of 165 and 660 is 55. So, we can divide both the numerator and denominator by 55:

165/660 = (165 ÷ 55) / (660 ÷ 55) = 3/12

Finally, we can simplify the fraction 3/12 further by dividing both the numerator and denominator by their greatest common divisor, which is 3:

3/12 = (3 ÷ 3) / (12 ÷ 3) = 1/4

Therefore, 55 minutes is equal to 1/4 of 11/3 hours.