Question

Express .05 as a fraction in similest form

Answer 1

We need to convert the decimal 0.5 to a fraction in the simplest form.

0.1 is one tenth
0.01 is one hundredths

So 0.05 is 5 hundredths
One hundredths is one out of a hundred or

`(1)/(100)`
So 5 of one hundredths is

`(1)/(100) * 5 = (5)/(100)`
The fraction isn't simplified however
So we need to find the greatest common factor (GCF) of the numerator and denominator, 5 and 100, to simplify the fraction.
The GCF of 5 and 100 is 5.

So divide both the numerator and denominator by 5 to find the fraction in simplest form

`(5 / 5)/(100 / 5) = (1)/(20)`
This is 0.05 as a fraction in simplest form.

Answer 2

0.05 = 5% = 5/100

Simplify 5/100 and you get 1/20.

Hope this helps & good luck. :)