Question

2/5 х + 1ц.1/4 = 2ц. 5/8​

Answer 1

Ответ:  x=55/16=3.4375.

Пошаговое объяснение:

2/5 х + 1 1/4 = 2 5/8​;

2/5x=2 5/8- 1 1/4;

2/5x=1 3/8;

x=1 3/8 :2/5;

x=11/8*5/2

x=55/16=3.4375.

Answer 2

To solve the equation, let's simplify both sides and isolate the variable. Here's the step-by-step solution:

2/5 х + 1ц.1/4 = 2ц. 5/8

First, let's convert the mixed numbers into improper fractions:

1ц.1/4 = 1 + 1/4 = 4/4 + 1/4 = 5/4

2ц. 5/8 = 2 + 5/8 = 16/8 + 5/8 = 21/8

Now, we can rewrite the equation:

2/5 х + 5/4 = 21/8

To solve this equation, we need to eliminate the fractions. We can achieve this by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 40 in this case. Multiplying each term by 40, we get:

40 * (2/5 х) + 40 * (5/4) = 40 * (21/8)

Simplifying:

(40 * 2)/(5 х) + (40 * 5)/4 = (40 * 21)/8

80/5 х + 200/4 = 840/8

Now, let's simplify further:

16 х + 50 = 105

Next, we can isolate the variable by subtracting 50 from both sides:

16 х + 50 - 50 = 105 - 50

16 х = 55

Finally, to solve for х, divide both sides by 16:

(16 х)/16 = 55/16

х = 55/16

Therefore, the solution to the equation is х = 55/16.