Question

expressing 0.23 bar + 0.23 bar as a single decimal we get​

Answer 1

The required form $0.2\bar{3}+0.\overline{23}=0.4\overline{65}$

Step-by-step explanation:

To find : Expressing 0.23 bar + 0.23 bar as a single decimal ?

Solution :

Let $x=0.2\bar{3}$

$x=0.23333...$  ...(1)

Multiply both side by 10,

$10x=2.3333...$  ...(2)

Subtract (1) from (2),

$10x-x=(2.3333...)-(0.2333..)$

$9x=2.1$

$x=\frac{21}{90}$

Let $y=0.\overline{23}$

$y=0.23232323...$  ...(3)

Multiply both side by 100,

$100y=23.23232323..$  ...(4)

Subtract (1) from (2),

$100y-y=(23.23232323...)-(0.232323...)$

$99y=23$

$y=\frac{23}{99}$

Adding x and y,

$0.2\bar{3}+0.\overline{23}=\frac{21}{90}+\frac{23}{99}$

$0.2\bar{3}+0.\overline{23}=\frac{21\times 99+23\times 90}{90\times 99}$

$0.2\bar{3}+0.\overline{23}=\frac{2079+2070}{8910}$

$0.2\bar{3}+0.\overline{23}=\frac{4149}{8910}$

$0.2\bar{3}+0.\overline{23}=0.4\overline{65}$

#Learn more

Express 0.23bar + 1.237bar in the form p/q​

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Answer 2

Answer:

Step-by-step answer explanation
Answer=0.0725