Question

Write 3.25% as a fraction in simplest form. Can you explain step by step please?

Answer 1

From the problem, we have 3.25% to convert into fraction.

Note that percentage a% can be written as a/100

So 3.25% will be :

`3.25\%=(3.25)/(100)`

From here, we can multiply the numerator and the denominator by 100 to make 3.25 a whole number.

`(3.25*100)/(100*100)=(325)/(10000)`

Next step is to simplify the fraction by getting the factors of the numerator and the denominator.

325 = 25 x 13

10000 = 25 x 400

Rewriting it again :

`(325)/(10000)=(25*13)/(25*400)`

Cancel the common factor (25)

`\frac{\cancel{25}*13}{\cancel{25}*400}=(13)/(400)`

The answer is 13/400