Question

express 6.57 bar in the form of p/q​

Answer 1

Answer:

let x=6.575757....

100x. =657.5757....

subtract

100x-x= 657.57...-6.5757...

99x =651

x=651/99

hope this will help you

Answer 2

$\underline{\red{\sf{\large{Question:-}}}}$

Express $\rm{6.\overline{57}}$ bar in the form of p/q

$\rule{400}{2}$

$\underline{\red{\sf{\large{Answer:-}}}}$

Let x = $\rm{6.\overline{57}}$ ----- ❶

Multiplying 100 to both sides

100x = $\rm{657.\overline{57}}$------ ❷

Subtracting ❶ from ❷

100x = $\rm{657.\overline{57}}$

$\sf{-}$

x = $\rm{6.\overline{57}}$

$\rule{100}{2}$

99x = 651.0

$\rule{100}{2}$

x = $\frac{651}{99}$

$\underline{\red{\sf{\large{Note:-}}}}$

Whenever it is asked to convert a recurring decimal in p/q form, assume that decimal as x, then multiply it with such a number so that the recurring numbers after the decimal can come before the decimal once.