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
[tex] \frac{1}{100} [/tex]
So 5 of one hundredths is
[tex] \frac{1}{100} \times 5 = \frac{5}{100} [/tex]
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
[tex] \frac{5 \div 5}{100 \div 5} = \frac{1}{20} [/tex]
This is 0.05 as a fraction in simplest form.
