Question

( 1 1/18 + 2x)÷ 2/3 = 4 1/3

Answer 1

Пошаговое объяснение:

1 1/18+2х=13/3×2/3

19/18+2х=26/9

2х=52/18-19/18

2х=33/18

х=33/36=11/12

Answer 2

To solve the equation (1 1/18 + 2x) ÷ 2/3 = 4 1/3, you can follow these steps:

Step 1: Convert the mixed numbers to improper fractions.

1 1/18 as an improper fraction is (18/18 + 1/18) = 19/18.

4 1/3 as an improper fraction is (12/3 + 1/3) = 13/3.

Step 2: Rewrite the equation with the improper fractions:

(19/18 + 2x) ÷ (2/3) = 13/3

Step 3: Invert and multiply to solve for 2x:

(19/18 + 2x) * (3/2) = 13/3

Step 4: Multiply both sides by 2/3 to isolate the expression (19/18 + 2x):

(19/18 + 2x) = (13/3) * (2/3)

Step 5: Simplify the right side of the equation:

(19/18 + 2x) = 26/9

Step 6: Subtract 19/18 from both sides to isolate 2x:

2x = 26/9 - 19/18

Step 7: Find a common denominator to subtract the fractions:

2x = (52/18) - (19/18)

Step 8: Subtract the fractions on the right side:

2x = (52 - 19)/18

2x = 33/18

Step 9: Simplify the right side by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3:

2x = (33/3) / (18/3)

2x = 11/6

Step 10: Divide both sides by 2 to solve for x:

x = (11/6) / 2

x = 11/12

So, the solution to the equation (1 1/18 + 2x) ÷ 2/3 = 4 1/3 is x = 11/12.