`a/2 - b = c : 2/3`

`=> a/2 - b = {3c}/2`

`=> a - 2b = 3c`

`=> a = 3c + 2b`

`=> a/c = 3 + {2b}/c`

`=> c/a = 1 / (3 +{ 2b}/c)`

`=> c/a - 1/3 = 1/(3+{2b}/c) - 1/3 = (3-3-{2b}/c)/ (3*(3+{2b}/c)) = {-2b}/(9c + 6b)`
Ta có: `a - 2b = 3c`
`=> a/b - 2 = 3c/b`

`=> a/b - 2 = 3c/b`

`=> (a/b - 2)^3 = (3c/b)^3`
Ta có: `a - 2b = 3c`

`=> a/c - {2b}/c = 3`

`=> a/c - 3 = {2b}/c`

`=> 1/(a/c-3) = c/{2b}`

`=> 3/2 + b/c = (3c+2b) /2c = a/{2c}`
`M = 2023 - ((-2b)/(3a))^3 * ((3c)/b)^3 * (a/(2c))^3`

`M = 2023 - ((-8b^3)/(27a^3)) * (27c^3)/(b^3) * (a^3)/(8c^3)`

`M = 2023 - (-8b^3 * 27c^3 * a^3) / (27a^3 * b^3 * 8c^3)`

`M = 2023 - (-1)`

`M = 2023 + 1`

`M = 2024`

Vậy `M = 2024`