Question

Express each of the following decimals in p/q form 0.375On five have bar

Answer 1

Refer to the above attachment.

BE BRAINLY

Answer 2

Answer:

$0.37\overline{5}=\frac{169}{450}$

Step-by-step explanation:

Given: $0.37\overline{5}$

To Express it in $\frac{p}{q}$  form

let $x=0.37\overline{5}$

     $x=0.375555...$ ...................(1)

Since bar is only on 1 digit we multiply both side with 10

$10x=10\times(0.375555...)$

$10x=3.755555...$ ................(2)

Subtract (1) from (2)

we get,

$10x-x=(3.755555...)-(0.375555...)$

$9x=2.38$

$x=\frac{3.38}{9}$

$x=\frac{338}{900}$

$x=\frac{169}{450}$

Therefore, $0.37\overline{5}=\frac{169}{450}$