Answer:
[tex]\frac{23}{90}[/tex]
Step-by-step explanation:
we require 2 equations with the recurring digit placed after the decimal point.
let x = 0.2555.. ( multiply both sides by 10 and 100 )
10x = 2.555... (1)
100x = 25.555.... (2)
subtract (1) from (2) thus eliminating the recurring digits
90x = 23 ( divide both sides by 90 )
x = [tex]\frac{23}{90}[/tex]
Answer:
[tex]\sf \dfrac{23}{90}[/tex]
Step-by-step explanation:
x = 0.25555..... --------------(I)
Number of non-recurring digits is 1. So, multiply equation (I) by 10.
10x = 2.5555.... --------------(II)
Number of recurring digits is 1. So, multiply equation (II) by 10.
100x = 25.5555...... (III)
Subtract equation (II) from (III)
100x = 25.5555........
10x = 2.5555.......
- -
90x = 23
x = 23/90
