Question

1,6*(0,3 +4/5x)=1 целая 3/5 4x+2 целые 3/8=2 целые 5/6

Answer 1

0.48+1.28x=1.6
1.28x=1.12
x=1.28/1.12
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4x+2.375=2+5/6
4x=11/24
x=11/112

Answer 2

To solve the equation, let's simplify the expression step by step:

1. Distribute the multiplication: 1,6 * (0,3 + 4/5x) = 1 целая 3/5

Multiplying 1,6 by each term inside the parentheses, we get: 0,48 + (6/5)x = 1 целая 3/5

2. Convert the mixed numbers to improper fractions: 1 целая 3/5 can be written as (8/5) + (3/5), so the equation becomes: 0,48 + (6/5)x = (8/5) + (3/5)

3. Combine like terms on both sides of the equation: 0,48 - (8/5) = (3/5) - (6/5)x

To simplify the left side: 0,48 - (8/5) = (-2/5)

To simplify the right side: (3/5) - (6/5)x = (-3/5)x

Therefore, the equation becomes: (-2/5) = (-3/5)x

4. Solve for x: Multiply both sides of the equation by -5/3 to isolate x: x = (-2/5) * (-5/3)

Multiplying the fractions: x = 2/3

So the solution to the equation is: x = 2/3