Express the number as the ratio of two integers.
-$0.616161 \ldots$
A) $\frac { 61 } { 999 }$
B) $\frac { 61 } { 99 }$
C) $\frac { 610 } { 999 }$
D) $\frac { 610 } { 99 }$

Question

Quizplus · Accepted Answer

To express $0.616161\ldots$ as a ratio of two integers, let $x = 0.616161\ldots$. Multiplying both sides by 100 gives $100x = 61.616161\ldots$. Subtracting the original equation from this, $99x = 61$, which simplifies to $x = \frac{61}{99}$.

Express the Number as the Ratio of Two Integers 0.616161…0.616161 \ldots0.616161…

Express the Number as the Ratio of Two Integers $0.616161 \ldots$