187k views
2 votes
What is 8.26666667 in simplest form

User Zebapy
by
8.1k points

1 Answer

1 vote
The answer is: " 8
(4)/(15)
" .
_____________________________________________

Step-by-step explanation:
_____________________________________________
Given: "8.266666667 " ; write in "simplest form" ;
_____________________________________________
Let us assume that the number is meant to be:

"8.2666666.. " (with repeating "6's) .

Consider the: "0.26666666666...." ;

Let "x = 0.26666666666...." ;

_____________________________________________

100x = 26.666666666666666666................... ;

10x = 2.666666666666666666....................... ;

_____________________________________________

Note: " 100x – 10x = 90x " ;

_____________________________________________

100x = 26.666666666666666666...................

– 10x = 2.666666666666666666.......................

_____________________________________________

90x = 24.00000000000000000.........................

______________________________________________

→ 90x = 24 ;

Divide each side of the equation by "90" ;

→ 90x / 90 = 24/90 ;

to get:

→ x = 24/90 ;

→ x = 24/90 = (24÷6) / (90÷6) = 4/15 ;


Add the "whole number, " 8 "; to this value; to get:

→ " 8
(4)/(15)
" .

____________________________________________

User Zlatanski
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories