Question

What is 4/6 rounded to the nearest half?

Answer 1

`4/6` rounds to `1/2`

Explanation:

Rounded to the nearest half, means the answer will be a multiple of `1/2, or 0.5`
`0," "1/2," "1," "1 1/2," "2 .....` or:

`0," "0.5," "1," "1.5," "2," "2.5...`

To which 'half' is `4/6` closest? Note that: `4/6 = 2/3 = 0.6666..`

`2/3` lies between `1/2" and " 2/2`

Using common denominators:

`3/6, " "4/6," " 6/6" "rarr 4/6` is closer to `3/6`

Using decimals:

The fraction `0.75` is halfway between `0.5" "and " "1`

`2/3 = 0.666..." and " 0.666.." is less than" 0.75.`

`4/6 = 2/3 " rounds to " 1/2`