六年级数学分数的混合运算题

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六年级数学分数的混合运算题

题目 1:

(1)/(2) + (1)/(3) ÷ (2)/(3)

解析:

先计算除法:(1)/(3) ÷ (2)/(3) = (1)/(3) × (3)/(2) = (1)/(2)

再计算加法:(1)/(2) + (1)/(2) = 1

题目 2:

(2)/(3) × ((3)/(4) - (1)/(2))

解析:

先计算括号内的减法:(3)/(4) - (1)/(2) = (3)/(4) - (2)/(4) = (1)/(4)

再计算乘法:(2)/(3) × (1)/(4) = (1)/(6)

题目 3:

(5)/(6) ÷ (5)/(9) + (1)/(3)

解析:

先计算除法:(5)/(6) ÷ (5)/(9) = (5)/(6) × (9)/(5) = (3)/(2)

再计算加法:(3)/(2) + (1)/(3) = (9)/(6) + (2)/(6) = (11)/(6)

题目 4:

((1)/(2) + (1)/(3)) ÷ (5)/(6)

解析: 先计算括号内的加法:(1)/(2) + (1)/(3) = (3)/(6) + (2)/(6) = (5)/(6)

再计算除法:(5)/(6) ÷ (5)/(6) = 1

题目 5:

(3)/(4) × (2)/(3) ÷ (5)/(8)

解析:

依次进行计算:(3)/(4) × (2)/(3) = (1)/(2)

(1)/(2) ÷ (5)/(8) = (1)/(2) × (8)/(5) = (4)/(5)

题目 6:

(7)/(8) - (3)/(4) ÷ (6)/(7)

解析:

先计算除法:(3)/(4) ÷ (6)/(7) = (3)/(4) × (7)/(6) = (7)/(8)

再计算减法:(7)/(8) - (7)/(8) = 0

题目 7:

(4)/(5) ÷ ((1)/(5) + (1)/(3))

解析:

先计算括号内的加法:(1)/(5) + (1)/(3) = (3)/(15) + (5)/(15) = (8)/(15)

再计算除法:(4)/(5) ÷ (8)/(15) = (4)/(5) × (15)/(8) = (3)/(2)

题目 8:

(5)/(8) × (4)/(5) - (1)/(4) ÷ (1)/(2)

解析: 先计算乘法和除法:(5)/(8) × (4)/(5) = (1)/(2),(1)/(4) ÷ (1)/(2) = (1)/(4) × 2 = (1)/(2)

再计算减法:(1)/(2) - (1)/(2) = 0

题目 9:

((2)/(3) - (1)/(4)) ÷ (1)/(12)

解析:

先计算括号内的减法:(2)/(3) - (1)/(4) = (8)/(12) - (3)/(12) = (5)/(12)

再计算除法:(5)/(12) ÷ (1)/(12) = (5)/(12) × 12 = 5

题目 10:

(3)/(7) ÷ (3)/(5) × (14)/(15)

解析:

依次进行计算:(3)/(7) ÷ (3)/(5) = (3)/(7) × (5)/(3) = (5)/(7)

(5)/(7) × (14)/(15) = (2)/(3)

题目 11:

(1)/(4) + (3)/(8) ÷ (9)/(16)

解析:

先计算除法:(3)/(8) ÷ (9)/(16) = (3)/(8) × (16)/(9) = (2)/(3)

再计算加法:(1)/(4) + (2)/(3) = (3)/(12) + (8)/(12) = (11)/(12)

题目 12:

(7)/(9) × ((9)/(7) + (9)/(14))

解析: 先计算括号内的加法:(9)/(7) + (9)/(14) = (18)/(14) + (9)/(14) = (27)/(14)

再计算乘法:(7)/(9) × (27)/(14) = (3)/(2)

题目 13:

(5)/(6) - (2)/(3) ÷ (4)/(5)

解析:

先计算除法:(2)/(3) ÷ (4)/(5) = (2)/(3) × (5)/(4) = (5)/(6)

再计算减法:(5)/(6) - (5)/(6) = 0

题目 14:

(3)/(8) ÷ ((3)/(8) - (1)/(4))

解析:

先计算括号内的减法:(3)/(8) - (1)/(4) = (3)/(8) - (2)/(8) = (1)/(8)

再计算除法:(3)/(8) ÷ (1)/(8) = (3)/(8) × 8 = 3

题目 15:

(2)/(5) × (3)/(4) + (1)/(2) ÷ (5)/(3)

解析:

先计算乘法和除法:(2)/(5) × (3)/(4) = (3)/(10),(1)/(2) ÷ (5)/(3) = (1)/(2) × (3)/(5) =

(3)/(10)

再计算加法:(3)/(10) + (3)/(10) = (3)/(5)

题目 16:

((5)/(6) - (1)/(3)) × (9)/(10) 解析:

先计算括号内的减法:(5)/(6) - (1)/(3) = (5)/(6) - (2)/(6) = (1)/(2)

再计算乘法:(1)/(2) × (9)/(10) = (9)/(20)

题目 17:

(7)/(10) ÷ (7)/(8) - (1)/(5)

解析:

先计算除法:(7)/(10) ÷ (7)/(8) = (7)/(10) × (8)/(7) = (4)/(5)

再计算减法:(4)/(5) - (1)/(5) = (3)/(5)

题目 18:

(3)/(4) × ((8)/(9) ÷ (2)/(3))

解析:

先计算括号内的除法:(8)/(9) ÷ (2)/(3) = (8)/(9) × (3)/(2) = (4)/(3)

再计算乘法:(3)/(4) × (4)/(3) = 1

题目 19:

(1)/(3) + (2)/(9) ÷ (4)/(3)

解析:

先计算除法:(2)/(9) ÷ (4)/(3) = (2)/(9) × (3)/(4) = (1)/(6)

再计算加法:(1)/(3) + (1)/(6) = (2)/(6) + (1)/(6) = (1)/(2)

题目 20:

(5)/(7) ÷ ((5)/(7) - (2)/(7)) × (7)/(9) 解析:

先计算括号内的减法:(5)/(7) - (2)/(7) = (3)/(7)

再计算除法:(5)/(7) ÷ (3)/(7) = (5)/(7) × (7)/(3) = (5)/(3)

最后计算乘法:(5)/(3) × (7)/(9) = (35)/(27)