Question

0.58333... write in decimal into p/q from

Answer 1

Answer:

THE ANSWER IS:-

THE GIVEN NUMBER (0.58333...) IN THE REQUIRED (p/q) FORM = 525/990 OR 7/12.

Step-by-step explanation:

WE SOLVE LIKE THIS:-

•GIVEN NUMBER = 0.58333...

•TO CONVERT IT TO THE REQUIRED FORM i.e THE (p/q) FORM,

WE NEED:-

•FIRST ASSUME THAT;

x = 0.58333...

SO;

100x = 58.333...

1000x = 583.333...

•NOW SUBTRACT:-

100x FROM 1000x;

•WE GET:

1000x - 100x = 583.333... - 58.333...

900x = 525

x = 525/900 (900 GETS DIVIDED AFTER GOING TO THE RIGHT SIDE)

THEREFORE;

x = 525/900 OR

x = 7/12 (CONVERTED INTO SIMPLEST FORM).

HOPE IT HELPS YOU.