Question

How do you solve `3 3/5 = x + 2 2/3`?

Answer 1

`color(red)(x=14/15)`

Explanation:

Given
`color(white)("XXX")color(blue)(3 3/5)=x+color(green)(2 2/3)`

Convert the mixed fractions into improper fractions:
`color(white)("XXX")color(blue)(18/5)=x+color(green)(8/3)`

Multiply both sides by `color(blue)5xxcolor(green)3=color(magenta)(15)` to get rid of the denominators:
`color(white)("XXX")color(green)3xxcolor(blue)(18)=color(magenta)(15)x+color(blue)5xxcolor(green)8`

`color(white)("XXX")color(brown)(54)=15x+color(brown)(40)`

`color(white)("XXX")15x=14`

`color(white)("XXX")x=14/15`