Math, asked by yashikkhurana3882, 18 hours ago

Find the decimal form of 5/9 by finding fractions with deominators powers of 10 getting closer and closer to 5/9

Answers

Answered by ashwinjw8
0

Answer:..

Step-by-step explanation:

Given find the fractions with denominators power of 10 getting closer and closer to it and hence write its decimal form of 1/6

Given fraction is 1/6

We can write this as 1/10 x 10/6

                      = 1/10 (1 + 4/6)

         1/6 = 1/10 + 4/60

              1/6 – 1/10 = 4/60

                                = 1/15

Therefore we get a fraction of denominator 10, close to 1/6

Now to get a fraction of denominator 100 close to 1/6

So 1/6 = 1/100 x 100 / 6

         = 1/100 (15 + 10/6)

1/6 = 15/100 + 10/600

1/6 – 15/100 = 1/600

Now to get a fraction of denominator 1000 close to 1/6

1/6 = 1/1000 x 1000 / 6

     = 1/1000 (150 + 100/6))

1/6 = 150/1000 + 100/6000

1/6 – 150/1000 = 1/60

Thus we get a fraction of denominator 1000 close to 1/6

The fractions 1/10, 15/100, 150/1000 gets closer to 1/6

Therefore 1/6 = 0.1666.

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