Question

Express 1.555 in form of p/q​

Answer 1

Answer:

$\tt \large \red{= \frac{14}{9} }$

Step-by-step explanation:

Question:-

• Express 1.555 in form of p/q

Solution:-

Let x = 1 555... (1)

Multiplying 10 on both sides

10x = 15..5555... (2)

Now, Subtracting equation (1) from (2)

$\tt10x - x = 15.55... - 1.55... \\ \implies \tt9x = 14 \\ \implies \tt \red{ x = \frac{14}{9} }$

Answer 2

Step-by-step explanation:

Let x = 1 555... (1)

Multiplying 10 on both sides

10x = 15..5555... (2)

Now, Subtracting equation (1) from (2)

\begin{gathered} \tt10x - x = 15.55... - 1.55... \\ \implies \tt9x = 14 \\ \implies \tt \red{ x = \frac{14}{9} }\end{gathered}

10x−x=15.55...−1.55...

⟹9x=14

⟹x=

9

14