Question

Show that0.1232323...can be expressed in the form of p/q where p and q are integers and9€0

Answer 1

Step-by-step explanation:

0.123232323....... can be written as 0.123 and bar on 2and 3

step 1: Let x=0.123 bar on 2 and 3 (equation 1)

step2: Now multiply x=0.123 bar on 2 and 3 by 100

•100x=12.333333.... (equation 2)

step3: Subtract equation 2 from equation 1

•100x=12.3333 - x=0.1232323

•99x=12.21

x=12.21/99

x=1221/99 multiply by 100

x=1221/9900

HOPE IT HELPS YOU