Question

A wheel made 517 revolutions at 34 4/9 revolutions per minute. How many minutes did it rotate?

Answer 1

\[\frac{a}{b} \frac{\text{ rev }}{\text{ min }} \\ \text{ I like to think this means } a \text{ rev } \text{ R }b \text{ min } \\ \text{ treating } R \text{ like a equal sign }\]
now we want to know x
such that we have 517 rev
that we want to find x
in
517 rev R x min


...
\[a \text{ rev } \text{ R } b \text{ min} \\ \text{ divide both sides by } a \\ 1 rev R \frac{b}{a} \text{ min} \\ \text{ multiply both sides by } 517 \\ 517 \text{ rev }R \frac{517 \cdot b}{a} \text{ min }\]

however this is the way I used to solve it
you can also setup equivalent ratios
and solve that way
\[\frac{a}{b} =\frac{517}{x}\]
and solve for x

Answer 2

I just used a/b for your 34 4/9 mixed fraction thing
you may want to convert that to improper fraction

Answer 3

\[\frac {rev} {time} = 34 + \frac {4}{9 } \]
\[\frac {517} {time} = 34 + \frac {4}{9 } \]

Answer 4

You guys are awesome, but I just can't get it, its not clicking in my head ):

Answer 5

I keep getting an off number. i don't think i'm simplifying correctly. I keep getting 17807 7/9

Answer 6

\[34 \frac{4}{9} =\frac{34(9)+4}{9} =\frac{310}{9} \\ \text{ so you have } \\ \frac{310}{9}=\frac{517}{x}\]

Answer 7

can you solve that for x?

Answer 8

4653/310?

Answer 9

yes

Answer 10

that says 310 rev per 9 min is equal to 517 rev per x min
where we found x to be 4653/310 which is approximately 15 min

Answer 11

I had that number! And when i tried to convert it to a mixed fraction it all got messed up! lol thank you so much!
I'm currently 8 months pregnant and my child is eating up my brains. ):

Answer 12

oh you want to convert that to mix fraction?

Answer 13

yes i got 15 3/310

Answer 14

alright sounds cool to me

Answer 15

I have no idea what it is like to be pregnant but I'm sure it isn't easy.

Answer 16

No its not and even worse when you're taking online classes cause you can't get help on questions like this /: thanks again freckles!

Answer 17

np good luck and just one more month to go
go you! you can do it! :)

Answer 18

unless you are an alien and you have to carry the baby for like 21 months or something
then that is more sad

Answer 19

Yes! I'm excited (:
Oh no I'm not an alien, just human ! 9 months and thats it! I couldnt do it any longer haha

Answer 20

well thank goodness for that

Answer 21

(:

Answer 22

anyways good luck with your math too (and congrats on the kid on the way)