Math, asked by ahmedshabandri, 11 months ago

express 2.123 bar in rational form


mysticd: which digit has the bar
ahmedshabandri: .123
mysticd: three digits has the bar
ahmedshabandri: yes

Answers

Answered by yashrajsinghranawat1
11

Answer:x =2.123

1000x =2123.123123123..............

1000x - x =2123.123 - 2.123

999x =2121

x =2121/999

Step-by-step explanation:

Answered by mysticd
5

Solution :

Let x = 2.123123....---( 1 )

Multiply ( 1 ) by 1000 , we

get

1000x = 2123.123123...---(2)

Subtract ( 1 ) from (2) , we

get

999x = 2121

=> x = 2121/999

=> x = ( 3 × 707 )/( 3 × 333 )

=> x = 707/333 [ p/q from ]

Therefore ,

x = 2.123123...

= 707/333

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