🔄 Recurring Decimals Challenge

Convert the following recurring decimals to fractions.

Drag and drop the correct answer in the space provided.

0.1

Repeating 1

0.09

Repeating 09

1.16

Repeating 16

Match the recurring decimals with their fraction equivalents:

0.1111

(0.1111...)

Drop here

0.090909

(0.090909...)

Drop here

1.16666

(1.16666...)

Drop here

Available Fractions (Drag these):

¹¹⁶⁶⁄₁₀₀₀

1 ⅙

¹⁄₁₁

¹⁄₉

¹⁄₁₀

⁹⁄₁₀₀

¹¹⁄₉₀

¹¹⁄₉

👍

💡 Understanding Recurring Decimals

Key Concept: A recurring (or repeating) decimal has one or more digits that repeat infinitely. The bar notation (e.g., 0.1̅) indicates which digits repeat.

Correct Matches:

0.1111... = ¹⁄₉
0.090909... = ¹⁄₁₁
1.16666... = 1 ⅙ (or ⁷⁄₆)