Question

Express the following in the form of p q Where p,q are integer and q is not equal to 0. 1, 0.327
(Bar in 7)
2,4.38
(Bar in 8)

Answer 1

Answer:

1. 59/180

2. 79/18

Step-by-step explanation:

1. x = 0.327777...

  100x = 32.7777...

  1000x = 327.7777...

  1000x - 100x = 327.777... - 32.777...

  900x = 295

  x = 295/900 or 59/180

2. x = 4.38888...

   10x = 43.8888...

   100x = 438.8888...

   100x - 10x = 438.888... - 43.888...

   90x = 395

   x = 395/90 or 79/18

Basically what we are trying to do is eliminate the decimal part.

For that, we should multiply the number with a power of 10

After that, we should try to make the decimal part same

Then just subtract!