Question

What is the fraction of six and two thirds percent?

Answer 1

Answer:

The fraction of six and two-thirds percent is $\frac{1}{15}$

Step-by-step explanation:

Given:

The percent whose fraction is required is given as:

$6\frac{2}{3}\%$

A percentage can be converted by dividing it by 100.

Here, first we need to convert the mixed fraction into improper fraction.

We can do so by multiplying the whole part of the mixed fraction to the denominator and then adding the numerator to the result.

So, $6\frac{2}{3}=\frac{6\times3+2}{3}=\frac{20}{3}$

Now, dividing the improper fraction by 100 to remove the percentage, we get:

$=\frac{20}{3}\div 100\\=\frac{20}{3}\times \frac{1}{100}\\=\frac{20\times1}{3\times 100}\\=\frac{20}{300}\\=\frac{1}{15}(As\ 20/20=1\ and\ 300/20=15)$

Therefore, the fraction of six and two-thirds percent is $\frac{1}{15}$