Math question- Pre algerbra?

Question

Find R.

1/r = 1/100+1/150+1/200

Answer 1

Multiply both sides by r
1 = r/100 + r/150 + r/200
common denominator is 600
600/600 = 6r/600 + 4r/600 + 3r/600
Since everything is over 600, we can drop the denominators
600 = 6r + 4r + 3r
600 = 13 r
r = 600/13
= 46 2/13.

Answer 2

1/r = 12/600; r= 600 R=?

Answer 3

1/600r = 6 + 4 + 3 = 13
1 = 13(600r)
1 = 7800r
1/7800 = r

Answer 4

1. Find the LCM=600
2.13/600 =1/r
3. 13 =1
600 =r
4.cross multiply 13r=600
5.divide by 13
6.13r/13=r and 600/13= 46.1538
7.r=46.1538

Answer 5

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Answer 6

r=600/13 or 46.153

Answer 7

46.012976