A wheel made 660 revolutions at 44 8/9 revolutions per minutes. how many minutes did it rotate

600rev / (44 8/9 rev/min) = 13 37/101 min

To find the number of minutes it took for the wheel to make 660 revolutions, we can use a formula:

Number of minutes = Number of revolutions / Revolutions per minute

In this case, the number of revolutions is given as 660, and the revolutions per minute is given as 44 8/9.

First, we need to convert 44 8/9 to an improper fraction:

44 8/9 = 44 * 9 + 8 / 9 = 396 / 9 + 8 / 9 = 404 / 9

Now we can substitute the values into the formula:

Number of minutes = 660 revolutions / (404/9 revolutions per minute)

To divide by a fraction, we multiply by its reciprocal:

Number of minutes = 660 revolutions * (9/404 minutes per revolution)

Next, we simplify the expression:

Number of minutes = (660 * 9) / 404

Finally, we calculate the value:

Number of minutes = 5940 / 404 = 14.65

Therefore, the wheel took approximately 14.65 minutes to make 660 revolutions.