Question

1.245 bar on 45
should be expressed
p/q form where q not equal to 0 ​

Answer 1

Let \: x = 1.2\overline {45}

\implies x = 1.2454545\cdot\cdot\cdot \:---(1)

/* Multiplying equation (1) by 10 ,we get */

\implies 10x = 12.454545\cdot\cdot\cdot \:---(2)

/* Multiplying equation (2) by 100 ,we get */

\implies 1000x = 1245.454545\cdot\cdot\cdot \:---(3)

/* Subtract equation (2) from equation (1), we get*/

\implies 990x = 1233

\implies x = \frac{1233}{990}

\implies x = \frac{137}{110}\: [ \frac{p}{q} \: form ]

Therefore.,

\red {1.2\overline {45}}\green { = \frac{137}{110}\: [ \frac{p}{q} \: form ] }

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Answer 2

Answer:

1.24545....=137/110

Step-by-step explanation:

Let take x=1.24545.....

Multiply x by 10

10x =12.4545...

Multiply x by 1000

1000x =1245.4545..

Now subtract II by I

1000x-10x=1245.4545....-12.4545.......

990x=1233

x=1233 /990

x = 137/110