Question

Express 0.477777... in the (p/q) form​

Answer 1

Solution:-

Let's

x = 0.47777.... -------> 1

The bar is on 7 is repeating it's one time, So multiply 10 on both sides.

$→\;{\sf{10x = 4.7777...}}$ -----> 2

Subtract 1 from 2

$x = 4.77777.... \\ 10x = 0.4777..$

$→\;{9x = 4.3}$

$→\;{\Large{x = \frac{4.3}{9}}}$

$☞\;{\Large{\sf{\red{x = \frac{43}{90}}}}}$

$\Large{✓}$

Hope It Helps You ✌️

Answer 2

Answer:

43/90

Step-by-step explanation:

let x be 0.47777...

x =. 04777

so 10x = 10 × 0.47777..

10x =. 4.77777..so,

10x = 4.3 + 0.47

10x = 4.3. + x ( because 0.4777 = x)

10x-x = 4.3

9x = 4.3

x= 4.3/9

x = 43/90 Answer