Ask Question
24 June, 01:45

Complete the table by converting each decimal to a fraction. Show your work. Repeating decimals. 0.2, 0.5, 0.7

Describe any patterns you noticed when converting the decimals in the table

+1
Answers (1)
  1. 24 June, 03:38
    0
    Answers

    Part 1 = 2/9

    Part 2 = 5/9

    Part 3 = 7/9

    Explanation

    To convert the a repeating decimals this are the steps;

    Part 1

    Let x = 0.222222 ... (i)

    10x = 2.222222 ... (ii)

    Subtract equation (i) from equation (ii)

    10x = 2.222222 ...

    -x = 0.222222 ...

    9x = 2.00000 ...

    ∴ 9x = 2

    Divide by 9 both sides;

    x = 2/9

    Part 2

    Let x = 0.5555 ...

    10x = 5.5555 ...

    subtract equation (i) from equation (ii).

    10x = 5.5555 ...

    - x = 0.5555 ...

    9x = 5.0000 ...

    ∴ 9x = 5

    x = 5/9

    Part 3

    Let x = 0.7777 ...

    10x = 7.7777 ...

    Subtracting equation (i) from equation (ii)

    10x = 7.7777 ...

    -x = 0.7777 ...

    9x = 7.000 ...

    ∴ 9x = 7

    x = 7/9

    Pattern noted

    When converting the repeating decimals to fraction only one number was repeating. This made the three decimals have the same fraction.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Complete the table by converting each decimal to a fraction. Show your work. Repeating decimals. 0.2, 0.5, 0.7 Describe any patterns you ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers