Express the rational number as a fraction of integers.
-$1.5050505 \ldots$
A) $\frac { 149 } { 100 }$
B) $\frac { 149 } { 99 }$
C) $\frac { 149 } { 90 }$
D) $\frac { 149 } { 9 }$

Question

Quizplus · Accepted Answer

To express $1.5050505 \ldots$ as a fraction of integers, let $x = 1.5050505 \ldots$. Multiplying both sides by 100 gives $100x = 150.5050505 \ldots$. Subtracting the original equation from this, $99x = 149$, so $x = \frac{149}{99}$.

Express the Rational Number as a Fraction of Integers 1.5050505…1.5050505 \ldots1.5050505…

Express the Rational Number as a Fraction of Integers $1.5050505 \ldots$