SOLUTION: a wheel make 9 7/9 revolutions per minute. if it rotates for 51 minutes, how many revolutions does it make?

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Question 953555: a wheel make 9 7/9 revolutions per minute. if it rotates for 51 minutes, how many revolutions does it make?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
it makes 9 and 7/9 revolutions per minute.

in 51 minutes it will make 51 * (9 and 7/9) revolutions.

that is equal to 51 * 9 + 51 * 7/9 which is equal to 459 + 357/9 which is equal to 459 + 39 + 6/9 which is equal to 498 + 2/3 revolutions.

you can also just convert 9 and 7/9 to a decimal to get 9.77777.....

multiply that by 51 and you get 498.6666666..... which is the same as 498 and 2/3.

you can also convert the whole thing to an improper fraction and then multiply it by 51.

9 and 7/9 is equal to 81/9 + 7/9 which is equal to 88/9 which, when multiplied by 51 is equal to 4488/9 which is equivalent to 498 and 6/9 which is equivalent to 298 and 2/3.

you get the same answer either way.