Question

18 2/5 - n = -10 1/3

Answer 1

The answer is
`n=28(11)/(15)`.

Explanation:

Given:

18 2/5 - n = -10 1/3.

Now, to solve the equation:

`18(2)/(5) - n = -10 (1)/(3)`

Converting the mixed fractions to improper:

⇒
`(92)/(5) -n=-(31)/(3)`

Moving the numbers on one side and variable to the other:

⇒
`(92)/(5) +(31)/(3)=n`

Now, solving the factions:

⇒
`(92* 3+31* 5)/(15)=n`

⇒
`(276+155)/(15)=n`

⇒
`(431)/(15)=n`

⇒
`28(11)/(15)=n`

Therefore, the answer is
`n=28(11)/(15)`.