Question

(0,5y-1 2/3) ÷2,1=1÷6,3

Answer 1

(0,5у-1 2/3)•6,3=1•2,1

(1/2у-5/3)•63/10=2,1

63/20у-21/2=21/10

63у-210=42

63у=42+210

63у=252

У=4

Answer 2

To solve the expression (0.5y - 1 2/3) ÷ 2.1 = 1 ÷ 6.3, you can follow these steps:

Step 1: Simplify the expression on the left-hand side (LHS): 0.5y - 1 2/3 is equivalent to (0.5y - 5/3) because 1 2/3 is the same as 5/3.

So, the equation becomes: (0.5y - 5/3) ÷ 2.1 = 1 ÷ 6.3

Step 2: Divide both sides by 2.1 to solve for y:

(0.5y - 5/3) ÷ 2.1 = (1 ÷ 6.3)

Now, divide both sides by 2.1:

(0.5y - 5/3) / 2.1 = (1 / 6.3)

Step 3: Solve for y:

0.5y - 5/3 = (1 / 6.3)

Now, add 5/3 to both sides:

0.5y = (1 / 6.3) + 5/3

Step 4: Calculate the right-hand side (RHS):

1 / 6.3 is approximately 0.15873 (rounded to five decimal places).

So, the equation becomes:

0.5y = 0.15873 + 5/3

Step 5: Add 0.15873 and 5/3 to find the value of 0.5y:

0.5y = 0.15873 + 5/3

Now, find a common denominator for the fractions on the right:

0.5y = (0.15873 * 3/3) + (5/3)

0.5y = (0.47619) + (5/3)

Step 6: Combine the fractions on the right side:

0.5y = (0.47619 + 5/3)

To add these fractions, find a common denominator:

0.5y = (0.47619 * 3/3) + (5/3)

0.5y = (1.42857) + (5/3)

Step 7: Add the fractions on the right side:

0.5y = 1.42857 + 1.66667

0.5y = 3.09524

Step 8: Finally, solve for y by dividing both sides by 0.5:

y = 3.09524 / 0.5

y = 6.19048

So, the solution to the equation (0.5y - 1 2/3) ÷ 2.1 = 1 ÷ 6.3 is y = 6.19048.