Question 20
Let $A=\dfrac17\times3.14\dot1\dot5$, where $3.14\dot1\dot5$ is the rational number with recurring digits $15$. In other words,
$$3.14\dot1\dot5=3.14+0.0015+0.000015+0.00000015+\cdots.$$
Suppose that $A=\dfrac mn$, where $m$ and $n$ are positive integers with no common factors larger than $1$. What is the value of $m+n$?
$$3.14\dot1\dot5=3.14+0.0015+0.000015+0.00000015+\cdots.$$
Suppose that $A=\dfrac mn$, where $m$ and $n$ are positive integers with no common factors larger than $1$. What is the value of $m+n$?