Question

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

Answer 1

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 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

https://brainly.in/question/8232616

Answer 2

Answer:

Step-by-step explanation: