Question

0,8 (3)÷ x=0, (4)×2 1/4; y÷2,5=3 (3)÷4,1 (6);

Answer 1

0,8(3) : х = 0,(4) · 2 1/4                у : 2,5 = 3,(3) : 4,1(6)

5/6 : х = 4/9 · 9/4                        у : 2,5 = 10/3 : 25/6

5/6 : х = 1                                     у : 2,5 = 10/3 · 6/25 = (2·2)/(1·5)

х = 5/6 : 1                                     у : 2,5 = 4/5

х = 5/6 = 0,8(3)                            у : 2,5 = 0,8

                                                    у = 0,8 · 2,5

                                                    у = 2

Answer 2

It seems like you have an equation with some variables. Let's solve it step by step.

1. First, let's address the first part of the equation: 0.8(3) ÷ x = 0.(4) × 2 1/4

   0.8(3) = 2.4 2 1/4 = 9/4

   So the equation becomes: 2.4 ÷ x = 0.(4) × (9/4)

2. Next, let's simplify the right side: 0.(4) is the repeating decimal 0.4444... So, 0.(4) × (9/4) = (0.4444...) × (9/4)

   Let's convert the repeating decimal to a fraction: 0.(4) = 4/9

   Now the equation becomes: 2.4 ÷ x = (4/9) × (9/4)

3. Simplify the right side further: (4/9) × (9/4) = 1

   So, the equation is now: 2.4 ÷ x = 1

4. Now, to solve for x, you can simply divide 2.4 by 1: 2.4 ÷ 1 = 2.4

   Therefore, x = 2.4.

Now let's move on to the second part of the equation: y ÷ 2.5 = 3(3) ÷ 4.1(6)

1. Calculate 3(3): 3(3) = 9

2. Calculate 4.1(6): 4.1(6) is a repeating decimal, which is approximately 4.1666...

3. Now the equation is: y ÷ 2.5 = 9 ÷ 4.1666...

4. To get rid of the repeating decimal, let's express 4.1666... as a fraction. Let's call it a/b:

   a/b = 4.1666...

   To convert this to a fraction, let's use x to represent the repeating part:

   a/b = 4.x

   10a = 41x

   Now we can solve for a and x: a = 4 x = 10

   So, 4.1666... = 4.(10)

5. Now the equation is: y ÷ 2.5 = 9 ÷ 4.(10)

6. Simplify the right side: 9 ÷ 4.(10) = 9 ÷ 40

7. Finally, solve for y: y ÷ 2.5 = 9 ÷ 40

To solve for y, multiply both sides by 2.5:

y = (9 ÷ 40) × 2.5

y = 0.5625

So, y is approximately 0.5625.