Question

(3/14x+7/8):5/4=(5/4x+1):7/3

Answer 1

首先，将等式中的除法转换为乘法，并将分数转换为分数形式的小数，得到：
(3/14x + 7/8) ÷ (5/4) = (5/4x + 1) ÷ (7/3)
(3/14x + 7/8) × (4/5) = (5/4x + 1) × (3/7)
接下来，化简分式并消去分母，得到：
12/70x + 7/40 = 15/28x + 3/7
将方程中的分数部分移到一边，变形得到：
12/70x - 15/28x = 3/7 - 7/40
6/35x = 1/5
x = (1/5) ÷ (6/35)
x = 7/6
因此，方程的解为 x = 7/6。

Answer 2

(3/14x + 7/8) ÷ (5/4) = (5/4x + 1) ÷ (7/3)
(3/14x + 7/8) × (4/5) = (5/4x + 1) × (3/7)
6/35x + 7/10 = 15/28x + 3/7
15/28x - 6/35x=7/10 -3/7
15/4x-6/5x=19/10
x=51/38