Question

Find three fraction with denominator power of 10 getting closer and closer to it and hence write its decimal form 1 by 3​

Answer 1

Answer:

Given fraction is 2/3

We can write this as 1/10 x 20/3

= 1/10 (6 + 2/3)

2/3 = 6/10 + 1/15

2/3 – 6/10 = 1/15

Therefore we get a fraction of denominator 10, close to 2/3

Now to get a fraction of denominator 100 close to 2/3

So 2/3 = 1/100 x 200 / 3

= 1/100 (66 + 2/3)

2/3 = 66/100 + 1/150

2/3 – 66/100 = 1/150

Now to get a fraction of denominator 100 close to 2/3

2/3 = 1/1000 x 2000 / 3

= 1/1000 (666 + 2/3))

2/3 = 666/1000 + 1/1500

2/3 – 666/1000 = 1/1500

Thus we get a fraction of denominator 1000 close to 2/3

The fractions 6/10, 66/100, 666/1000 gets closer to 2/3

Therefore 2/3 = 0.666

Step-by-step explanation:

hope it helps u