Express the number as the ratio of two integers.
-0.659659 . . .
A) $\frac { 659 } { 99 }$
B) $\frac { 6590 } { 99 }$
C) $\frac { 659 } { 999 }$
D) $\frac { 6590 } { 999 }$

Question

Express the number as the ratio of two integers.
-0.659659 . . . 
A) $\frac { 659 } { 99 }$
B) $\frac { 6590 } { 99 }$
C) $\frac { 659 } { 999 }$
D) $\frac { 6590 } { 999 }$

Quizplus · Accepted Answer

We notice that the digits after the decimal repeat after the third decimal place, so we can write this number as $0.659\overline{659} = \frac{659}{1000-1} = \frac{659}{999}.$ The only answer choice that matches this is $\boxed{	extbf{(C)}}.$

Express the Number as the Ratio of Two Integers 65999\frac { 659 } { 99 }99659​

Express the Number as the Ratio of Two Integers $\frac { 659 } { 99 }$