Question

The formula for the sum of an infinite geometric series, s=a1/1-r, may be used to convert o.23 to a fraction. What are the values of a1and r?

Answer 1

7/30

Explanation:

i think you are talking about 0.2333333...

=0.2+0.03+0.003+0.0003+0.00003+...

=0.2+x

x=0.03+0.003+0.0003+0.00003+...

a1=0.03

r=(0.003)/(0.03)=(0.003)/0.030)=3/30=1/10=0.1

x=a1/(1-r)=0.03/(1-0.1)=.03/0.90=3/90=1/30

so 0.233333....=0.2+1/30=2/10+1/30=6/30+1/30=7/30