REPEATING DECIMALS AS GEOMETRIC SERIES WORKSHEET

Problem 1 :

Express 0.37373737… as an infinite geometric series and find the fraction it represents.

Solution

Problem 2 :

0.52525252…

Solution

Problem 3 :

0.358358358…

Solution

Problem 4 :

0.194949494…

Solution

Answer Key

1) 37/99

2)  52/99

3) 358/999

4) 193/990

Convert the following recurring decimals to fractions :

Problem 1 :

0.333….

Solution

Problem 2 :

0.444….

Solution

Convert the following recurring decimals to fractions:

Problem 3 :

1.0909….

Solution

Problem 4 :

2.0909….

Solution

Problem 5 :

0.5333….

Solution

Problem 6 :

1.7333….

Solution

Problem 7 :

0.9444….

Solution

Problem 8 :

2.0555…

Solution

Answer Key

1)  1/3

2)  4/9

3)  108/99

4)  207/99

5)  48/90

6)  156/90

7)  85/90

8)  185/90

Recent Articles

  1. Finding Range of Values Inequality Problems

    May 21, 24 08:51 PM

    Finding Range of Values Inequality Problems

    Read More

  2. Solving Two Step Inequality Word Problems

    May 21, 24 08:51 AM

    Solving Two Step Inequality Word Problems

    Read More

  3. Exponential Function Context and Data Modeling

    May 20, 24 10:45 PM

    Exponential Function Context and Data Modeling

    Read More