Write the repeating decimal as a ratio of integers.
-0.151515
A) $\frac { 5 } { 33 }$
B) $\frac { 10 } { 33 }$
C) $\frac { 1 } { 6 }$
D) $\frac { 5 } { 333 }$

Question

Write the repeating decimal as a ratio of integers.
-0.151515
A) $\frac { 5 } { 33 }$ 
B) $\frac { 10 } { 33 }$
C) $\frac { 1 } { 6 }$
D) $\frac { 5 } { 333 }$

Quizplus · Accepted Answer

To convert the repeating decimal 0.151515... to a fraction, let $x = 0.151515...$. Multiplying both sides by 100 gives $100x = 15.151515...$. Subtracting the original equation from this gives $99x = 15$, so $x = \frac{15}{99} = \frac{5}{33}$.

Write the Repeating Decimal as a Ratio of Integers 533\frac { 5 } { 33 }335​

Write the Repeating Decimal as a Ratio of Integers $\frac { 5 } { 33 }$