Question

1. Show that 0.1212... + 0.111....=0.2323....​

Answer 1

Answer:

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Step-by-step explanation:

0.1212 bar

x = .1212... (1)

we have 4 digits after decimal so we divide with 10000

10000x = 1212.1212... (2)

Subtract 2 from 1

10000x - x = 1212.1212... - 0.1212...

9999x = 1212

x = 1212/9999

Well

According to the above method we will get

0.1212 bar = 1212/9999

According to 4decimal places

we will rewrite: 0.111... = 0.1111...

0.1111 bar = 1111/999

Well

1212/9999 + 1111/999

By LCM

2323/9999 = 0.2323...

All the best