Question

express the following in the form p/q where p and q are integers and q is not equal to 0 i.0.345 bar over 4 and 5​

Answer 1

342/99

Step-by-step explanation:

1000x=345.454545.....

-. 10x=3.45454545.....

990x=342

x=342/99

Answer 2

The required form is  $0.345\overline{45}=\frac{19}{55}$.

Step-by-step explanation:

Given : Express the following in the form p/q where p and q are integers and q is not equal to 0 $0.345\overline{45}$

To find : Express expression as a fraction in simplest form?

Solution :

Let $x=0.3454545....$ ....(1)

Multiply both side by 100,

$100x=34.54545...$ .....(2)

Subtract (1) and (2),

$100x-x=(34.54545...)-(0.3454545...)$

$99x=34.2$

$x=\frac{34.2}{99}$

$x=\frac{342}{990}$

$x=\frac{19}{55}$

Therefore, the required form is  $0.345\overline{45}=\frac{19}{55}$

#Learn more  

Express 3.42 (bar on 42) in p/q form.

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