Đáp án:
`a) = 201/15`
`b) = 8/5`
`c) = 34/441`
`d) = 101/33`
Giải thích các bước giải:
`a) 6 : 3/5 - 7/6 × 18/35 + 22/5 × 10/11`
`= 30/5 : 3/5 - 126/210 + 220/55`
`= 30/5 × 5/3 - 3/5 + 4`
`= 150/15 - 3/5 + 4`
`= 150/15 - 9/15 + 60/15`
`= 141/15 + 60/15`
`= 201/15`
`b) 36/41 × 41/9 - 14/21 : 7/21 - 2/5`
`= 4 - 14/21 × 21/7 - 2/5`
`= 4 - 2 - 2/5`
`= 2 - 2/5`
`= 10/5 - 2/5`
`= 8/5`
`c) ( 3/15 + 1/4 + 7/20 ) × 17/49 : ( 16/5 + 2/5 )`
`= ( 12/60 + 15/60 + 21/60 ) × 17/49 : 18/5`
`= 48/60 × 17/49 : 18/5`
`= 4/5 × 17/49 × 5/18`
`= 68/245 × 5/18`
`= 340/4410`
`= 34/441`
`d) ( 1/2 + 1/4 + 1/5 ) : ( 1/2 + 1/4 - 1/5 ) + ( 1/2 + 1/5 + 1/10 ) : ( 1/2 + 1/5 - 1/10 )`
`= ( 10/20 + 5/20 + 4/20 ) : ( 10/20 + 5/20 - 4/20 ) + ( 5/10 + 2/10 + 1/10 ) : ( 5/10 + 2/10 - 1/10 )`
`= 19/20 : 11/20 + 8/10 : 6/10`
`= 19/20 × 20/11 + 8/10 × 10/6`
`= 19/11 + 4/3`
`= 57/33 + 44/33`
`= 101/33`
