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