Solve the problem.
-Rewrite the number $0 . \overline { 35 }$ as the quotient of two integers.
A) $\frac { 7 } { 200 }$
B) $\frac { 35 } { 99 }$
C) $\frac { 7 } { 20 }$
D) $\frac { 3500 } { 99 }$

Question

Quizplus · Accepted Answer

To convert the repeating decimal $0.\overline{35}$ to a fraction, let $x = 0.\overline{35}$. Multiplying both sides by 100 gives $100x = 35.\overline{35}$. Subtracting the original equation from this, $99x = 35$, so $x = \frac{35}{99}$.

Solve the Problem 0.35‾0 . \overline { 35 }0.35 As the Quotient of Two Integers

Solve the Problem $0 . \overline { 35 }$ As the Quotient of Two Integers