write the decimal form of 1/3 as a fraction with denominators powers of 10 getting closer and closer to it?
Answers
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) 2/3 2)1/6
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
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
The correct answer is 1/6 = 0.1666
Given observe the parts with denominators force of 10 getting increasingly close to it and henceforth compose its decimal type of 1) 2/3 2)1/6
Given part is 2/3
We can compose this as 1/10 x 20/3
= 1/10 (6 + 2/3)
2/3 = 6/10 + 1/15
2/3 - 6/10 = 1/15
Hence we get a small amount of denominator 10, near 2/3
Presently to get a small amount of denominator 100 near 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
Presently to get a small part of denominator 100 near 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
In this manner, we get a small part of denominator 1000 near 2/3
The parts 6/10, 66/100, 666/1000 draws nearer to 2/3
Along these lines 2/3 = 0.666
Given observe the parts with denominators force of 10 getting increasingly close to it and subsequently compose its decimal type of 1/6
Given part is 1/6
We can compose 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
Thusly we get a small amount of denominator 10, near 1/6
Presently to get a small amount of denominator 100 near 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
Presently to get a small portion of denominator 1000 near 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
Hence we get a negligible portion of denominator 1000 near 1/6
The divisions 1/10, 15/100, 150/1000 draws nearer to 1/6
Along these lines 1/6 = 0.1666