Question

How do you solve `x+ 2/ 5= 16/ 15`?

Answer 1

`color(red)(x=2/3)`

Explanation:

Given
`color(white)("XXX")x+2/5=16/15`

Method 1
Multiply everything on both sides by `15` to get rid of the fractions
`color(white)("XXX")15x+6=16`

Subtract `6` from both sides
`color(white)("XXX")15x=10`

Divide both sides by `15`
`color(white)("XXX")x=10/15=2/3`

Method 2
Subtract `2/5` from both sides of the original equation
`color(white)("XXX")x=16/15-2/5`

Convert `2/5` to have the same denominator as `16/15` by multiplying`2/5 xx 3/3`
`color(white)("XXX")x=16/15-6/15=(16-6)/15=10/15=2/3`#