Question

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1/48÷（1/3-1/4-1/6-1/8+1/12-1/16）简算

Answer 1

如果题目是:
48÷(1/3－1/4－1/6－1/8+1/12－1/16)
=48÷[(16－12－8－6+4－3)/48]
=48×48÷(16－12－8－6+4－3)
=48×48÷(－9)
=－48×16÷3
=－16×16
=－256

如果题目是:
1/48÷(1/3－1/4－1/6－1/8+1/12－1/16)
=1/48÷[(16－12－8－6+4－3)/48]
=1/48×48÷(16－12－8－6+4－3)
=1÷(－9)
=－1/9

Answer 2

1/48÷(1/3-1/4-1/6-1/8+1/12-1/16)
=1/48÷1/3-1/48÷1/4-1/48÷1/6-1/48÷1/8+1/48÷1/12-1/48÷1/16
=1/48×3-1/48×4-1/48×6-1/48×8+1/48×12-1/48×16
=1/16-1/12-1/8-1/6+1/4-1/3
=1/16-(2/24+3/24+4/24-6/24+8/24)
=1/16-11/24
=3/48-22/48
=-19/48

Answer 3

1/48÷（1/3-1/4-1/6-1/8+1/12-1/16）
=1/48÷(-3/16)
=-1/9.
其中1/3-1/4-1/6+1/12=0.