Question

(4/5 - x) + 9/40 = 29/50

Answer 1

1 способ (в обыкновенных дробях)
(4/5 - х) + 9/40 = 29/50
4/5 - х = 29/50 - 9/40
4/5 - х = 116/200 - 45/200
4/5 - х = 71/200
х = 4/5 - 71/200
х = 160/200 - 71/200
х = 89/200

2 способ ( в десятичных дробях)
(0,8 - х) + 0,225 = 0,58
0,8 - х = 0,58 - 0,225
0,8 - х = 0,355
х = 0,8 - 0,355
х = 0,445

Answer 2

(4/5 - x) + 9/40 = 29/50

x =89/200
х=0.445

Answer 3

To solve for the value of x in the equation:

$\frac{4}{5} - x + \frac{9}{40} = \frac{29}{50}$

You can follow these steps:

Step 1: Combine the fractions on the left side of the equation: $\frac{4}{5} + \frac{9}{40} - x = \frac{29}{50}$

Step 2: Find a common denominator for the fractions on the left side. The least common multiple (LCM) of 5 and 40 is 40, so you need to adjust the fractions to have a common denominator of 40: $\frac{4 \cdot 8}{5 \cdot 8} + \frac{9}{40} - x = \frac{29}{50}$ $\frac{32}{40} + \frac{9}{40} - x = \frac{29}{50}$

Step 3: Combine the fractions with the common denominator: $\frac{32 + 9}{40} - x = \frac{29}{50}$ $\frac{41}{40} - x = \frac{29}{50}$

Step 4: Subtract $\frac{41}{40}$ from both sides of the equation to isolate the term with x on the left side: $-x = \frac{29}{50} - \frac{41}{40}$

Step 5: Find a common denominator for $\frac{29}{50}$ and $\frac{41}{40}$. The LCM of 50 and 40 is 200, so adjust the fractions accordingly: $-x = \frac{4 \cdot 29}{4 \cdot 50} - \frac{5 \cdot 41}{5 \cdot 40}$ $-x = \frac{116}{200} - \frac{205}{200}$

Step 6: Combine the fractions on the right side: $-x = \frac{116 - 205}{200}$ $-x = \frac{-89}{200}$

Step 7: Multiply both sides by -1 to solve for x: $x = \frac{89}{200}$

So, the solution to the equation is $x = \frac{89}{200}$.