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7 1/8+ 8 1/2 + 6 1/4+ 2 1/8

 Apr 8, 2016
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Simplify the following:
7+1/8+8+1/2+6+1/4+2+1/8

 

Put 7+1/8+8+1/2+6+1/4+2+1/8 over the common denominator 8. 7+1/8+8+1/2+6+1/4+2+1/8  =  (8×7)/8+1/8+(8×8)/8+4/8+(8×6)/8+2/8+(8×2)/8+1/8:
(8×7)/8+1/8+(8×8)/8+4/8+(8×6)/8+2/8+(8×2)/8+1/8

 

8×7  =  56:
56/8+1/8+(8×8)/8+4/8+(8×6)/8+2/8+(8×2)/8+1/8

 

8×8  =  64:
56/8+1/8+64/8+4/8+(8×6)/8+2/8+(8×2)/8+1/8

 

8×6  =  48:
56/8+1/8+64/8+4/8+48/8+2/8+(8×2)/8+1/8

 

8×2  =  16:
56/8+1/8+64/8+4/8+48/8+2/8+16/8+1/8

 

56/8+1/8+64/8+4/8+48/8+2/8+16/8+1/8  =  (56+1+64+4+48+2+16+1)/8:
(56+1+64+4+48+2+16+1)/8
The gcd of 192 and 8 is 8, so 192/8 = (8×24)/(8×1) = 8/8×24 = 24:
Answer: |  24

 Apr 8, 2016

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