SOLUTION: struggling with: 34 1/6 = x + 6 1/4 + 12 3/8

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Question 919855: struggling with:
34 1/6 = x + 6 1/4 + 12 3/8
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

first:
34 1%2F6 = 34%2B1%2F6=204%2F6%2B1%2F6=205%2F6
6+1%2F4=25%2F4 and
12+3%2F8=99%2F8
so, we have
205%2F6+=+x+%2B+25%2F4+%2B+99%2F8
205%2F6+=+x+%2B+%2825%2A2%29%2F%284%2A2%29+%2B+99%2F8

205%2F6+=+x+%2B+50%2F8+%2B+99%2F8

205%2F6+=+x+%2B+149%2F8

205%2F6-149%2F8+=+x+

%28205%2A4%29%2F%286%2A4%29-%28149%2A3%29%2F%288%2A3%29+=+x+

820%2F24-447%2F24+=+x+

%28820-447%29%2F24+=+x+

373%2F24+=+x+