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Đáp án+Giải thích các bước giải:
Câu `3:`
`a)21/25xx2/5+21/25xx 3/5`
`=21/25xx(2/5+3/5)`
`=21/25xx 5/5`
`=21/25xx1`
`=21/25`
`b)5/2xx 3/4-3/14: 6/7`
`=(5xx3)/(2xx4)-3/14 xx 7/6`
`=15/8-(3xx7)/(2xx7xx2xx3)`
`=15/8-1/4`
`=15/8-2/8`
`=13/8`
`c)3/10xx7/4-3/10xx3/4`
`=3/10xx(7/4-3/4)`
`=3/10 xx 4/4`
`=3/10 xx 1`
`=3/10`
`d) 7/12+6/9+3/8+5/12+1/3+5/8`
`=(7/12+5/12)+2/3+1/3+(3/8+5/8)`
`=12/12+(2/3+1/3)+8/8`
`=1+3/3+1`
`=2+1`
`=3`
Câu `4:`
`b) 4/5+2/7+5/9+15/21+1/5+4/9`
`=(4/5+1/5)+2/7+5/7+(5/9+4/9)`
`=5/5+(2/7+5/7)+9/9`
`=1+7/7+1`
`=2+1`
`=3`
`c)4/7: 5/2+4/7 : 5/3+3/7`
`=4/7 xx 2/5+4/7 xx 3/5+ 3/7 `
`=4/7xx (2/5+3/5)+3/7`
`=4/7xx 5/5+3/7`
`=4/7 xx 1+3/7`
`=4/7+3/7`
`=7/7`
`=1`
`d)3/7 xx 24/15-3/7 xx (14)/(15)`
`=3/7xx (24/15-14/15)`
`=3/7 xx 10/15`
`=3/7xx2/3`
`=(3xx2)/(7xx3)`
`=2/7`
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Câu `3:`
`a) `
`21/25 × 2/5 + 21/25 × 3/5`
`= 21/25 × (2/5 + 3/5) `
`= 21/25 × 5/5 `
`= 21/25`
`b)`
`5/2 × 3/4 − 3/14 : 6/7 `
`= 15/8 − 3/14 × 7/6 `
`= 15/8 − 21/84 `
`= 15/8 − 1/4`
`= 15/8 − 2/8`
`= 13/8`
`c) `
`3/10 × 7/4 − 3/10 × 3/4 `
`= 3/10 × (7/4 − 3/4) `
`= 3/10 × 4/4`
`= 3/10 `
`d)`
`7/12 + 6/9 + 3/8 + 5/12 + 1/3 + 5/8 `
`= (7/12 + 5/12) + (6/9 + 1/3) + (3/8 + 5/8)`
`= 12/12 + (2/3 + 1/3) + 8/8 `
`= 1 + 1 + 1 `
`= 3`
Câu `4:`
`b)`
`4/5 + 2/7 + 5/9 + 15/21 + 1/5 + 4/9`
`= (4/5 + 1/5) + (2/7 + 15/21) + (5/9 + 4/9)`
`= 5/5 + (2/7 + 5/7) + 9/9`
`= 1 + 1 + 1`
`= 3`
`c)`
`4/7 : 5/2 + 4/7 : 5/3 + 3/7`
`= 4/7 × 2/5 + 4/7 × 3/5 + 3/7`
`= 4/7 × (2/5 + 3/5) + 3/7`
`= 4/7 × 1 + 3/7`
`= 7/7`
`= 1`
`d)`
`3/7 × 24/15 − 3/7 × 14/15`
`= 3/7 × (24/15 − 14/15)`
`= 3/7 × 10/15`
`= 3/7 × 2/3`
`= 2/7`
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