Question

How do you simplify `5 [1/2 + (3/5 times 5/6) div 5/8]` using PEMDAS?

Answer 1

`13/2 = 6 1/2`

Explanation:

`5[1/2+ color(red)((cancel3/cancel5 xxcancel5/cancel6_2)) div 5/8]`
`color(white)(xxxxxxx)color(red)(darr)`
`=5[1/2+color(red)(1/2) div5/8]`

`=5[1/2 + color(blue)(1/cancel2 xxcancel8^4/5)]" "larr` multiply by the reciprocal
`color(white)(xxxxxxxxx)color(blue)(darr)`
`=5[1/2" + "color(blue)(4/5)]`

`=5[(5+8)/10]`

`=cancel5 xx13/cancel10_2`

`=13/2`

`=6 1/2`