Đáp án:
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Câu `1.`
`G = ( (0,4 - 2/9 + 2/11)/(1,4 - 7/9 + 7/11) - (1/3 - 0,25 + 1/5)/(1 1/6 - 0,875 + 0,7) ) ÷ 2013/2014`
`⇔ G =( (2/5 - 2/9 + 2/11)/(7/5 - 7/9 + 7/11) - (1/3 - 1/4 + 1/5)/(7/6 - 7/8 + 7/10) )÷ 2013/2014`
`⇔ G =( (2 (1/5 - 1/9 + 2/11) )/(7 (1/5 - 1/9 + 1/11) ) - (2/6 - 2/8 + 2/10)/(7/6 - 7/8 + 7/10) )÷ 2013/2014`
`⇔ G =( 2/7 - (2 (1/6 - 1/8 + 1/10) )/(7 (1/6 - 1/8 + 1/10) ) )÷ 2013/2014`
`⇔ G =( 2/7 - 2/7 )÷ 2013/2014`
`⇔ G = 0 ÷ 2013/2014`
`⇔ G =0`
Vậy `G=0`
Câu `2.`
`H = (2 - 2/19 + 2/43 - 2/1943)/(3 - 3/19 + 3/43 - 3/1943) ÷ (4 - 4/19 + 4/41 - 4/2941)/(5 - 5/19 + 5/41 - 5/2941)`
`⇔ H = (2 (1 - 1/19 + 1/43 - 1/1943) )/(3 (1 - 1/19 + 1/43 - 1/1943) ) ÷ (4 (1 - 1/19 + 1/41 - 1/2941) )/(5 (1 - 1/19 + 1/41 - 1/2941) )`
`⇔ H = 2/3 ÷ 4/5`
`⇔H =2/3 × 5/4`
`⇔ H = 5/6`
Vậy `H=5/6`