Question

short trick for solving 0.3178178178​

Answer 1

Answer:

0.3178178.... = (635/1998)

Step-by-step explanation:

Let x = 0.3178178...

Then,

10x = 3.178178.... ----- 1

And,

10000x = 3178.178178.... ---- 2

Subtracting eq.1 and eq.2 we get,

10000x - 10x = 3178.178178.... - 3.178178....

9990x = 3175

x = 3175/9990

Now, To make it in its lowest form,

Dividing the fraction by 5,

x = 635/1998

Hence,

0.3178178.... = (635/1998)

Hope it helped and believing you understood it....All the best