Question

express 2.1133333333........ in p/q form step by step pls

Answer 1

Let x = 2.1133333333.... (i)
100x = 211.33333333..... (ii)
1000x = 2113.3333333.…. (iii)
Subtracting (ii) from (iii)

900x = 1902
X = 1902/900
=634/300

P=634
q=300

Answer 2

multiply the given number in such a way to eliminate non recurring part in above number 11i is non recurring to eliminate after decimal multiply it with 100 i.e r=2.113333....
100r=100×2.113333....=211.3333...
to remove decimals again multiply it by 1000 in such a way that after decimal recurring number must repeat ..i.e 1000r=1000×2.1133333=2113.333....
then. 1000r-100r=2113.33333...- 211.33333
900r=1902
r=1902/900