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 $=\frac{a}{100} \times b$

Now, lets convert 33% into fraction first:

33% $=\frac{33}{100} =0.33$

Now,

$0.33 \times 52=17.16 \approx 17$

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, $\frac{1}{3} \times51=17$ and $\frac{1}{3} \times 53=17.66$

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

Therefore, $\frac{1}{3} \times 51$ is the most accurate way to estimate 33% of 52.