Question

Solve the following equation:
m - m-1/2 = 1 - m-2/3​

Answer 1

m =
`(7)/(5)`

Explanation:

m -
`(m-1)/(2)` = 1 -
`(m-2)/(3)`

Multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

6m - 3(m - 1) = 6 - 2(m - 2) ← distribute parenthesis on both sides

6m - 3m + 3 = 6 - 2m + 4 , that is

3m + 3 = - 2m + 10 ( add 2m to both sides )

5m + 3 = 10 ( subtract 3 from both sides )

5m = 7 ( divide both sides by 5 )

m =
`(7)/(5)`