Question

express the following as fraction 2.333.........​

Answer 1

Answer:

7/3

Step-by-step explanation:

2.333... is usually written as 2.3(bar on 3).

 Let a = 2.3 bar

As there is only one number under bar, multiply both sides by 10^(1).

10a = 23.3 bar        

        Subtract 'a' from both sides:

⇒ 10a - a = 23.3 bar - 2.3 bar

⇒ 9a = 21        {bar cancelled and 23-2=21}

⇒ a = 21/9

⇒ a = 7/3