Question

Convert 2/3 into fractions with denominators

powers of 10 getting closer and closer to it and hence write it’s decimal form.​

Answer 1

Answer:

Given find the fractions with denominators power of 10 getting closer and closer to it and hence write its decimal form of 2/3

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

Reference link will be

brainly.in/question/8232616