Question

Which is the most accurate way to estimate 33% of 52?

1/3 x 51 or 1/3 x 53?

Answer 1

The most accurate way to estimate 33% of 52 is explained as follows:

To find a percentage, we calculate it as follows:

a% of b
`=(a)/(100) * b`

Now, lets convert 33% into fraction first:

33%
`=(33)/(100) =0.33`

Now,

`0.33 * 52=17.16 \approx 17`

We have two ways to calculate the same so we will compare the values of them and figure out which gives a value nearer to our actual value:

So,
`(1)/(3) *51=17` and
`(1)/(3) * 53=17.66`

We can see that the first method gives us a value which is far closer to the actual value.

Therefore,
`(1)/(3) * 51` is the most accurate way to estimate 33% of 52.