It would have been helpful if you put the picture
Are you serious? We are not doing your homework. Where's your effort?
<em>1 Cancel m.</em>
12i=c*m/s
<em>2 Use rule a*b/c = ab/c</em>
12i=cm/s
<em>3 Multiply both sides by s.</em>
12is=cm
<em>4 Divide both sides by 12.</em>
is=cm/12
<em>5 Divide both sides by i</em>
s=cm/12/i
<em>6 Simplify cm/12/i</em>
s=sm/12i
Answer: The fraction 301/900
Note: I'm assuming the 4's continue on forever
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Work Shown:
I'm going to assume that the 4s go on forever. I'll represent this with three dots after the last 4 like so
0.334444...
Now let x = 0.334444...
Multiply both sides by 100
x = 0.334444...
100x = 100*(0.334444...)
100x = 33.444444...
And repeat with 1000
x = 0.334444...
1000x = 1000*(0.334444...)
1000x = 334.444444...
Then subtract and solve for x. Notice how the decimal parts line up and cancel
1000x-100x = (334.444444...) - (33.444444...)
1000x-100x = (334+0.444444...) - (33+0.444444...)
1000x-100x = 334+0.444444... - 33 - 0.444444...
1000x-100x = (334-33)+(0.444444... - 0.444444...)
900x = 334 - 33
900x = 301
x = 301/900
