Turn a repeating decimal into a fraction

Answer Key - Grade 8 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Kira finds a repeating decimal on a quiz card. If x = 0.111…, what fraction is x, in simplest form?

   1/9
2. 2.

   Luz reads a repeating decimal off a calculator. If x = 0.3030…, what fraction is x, in simplest form?

   10/33
3. 3.

   Noah spots a repeating decimal in a math book. If x = 0.9090…, what fraction is x, in simplest form?

   10/11
4. 4.

   Pia tests a repeating decimal in a puzzle. If x = 0.7272…, what fraction is x, in simplest form?

   8/11
5. 5.

   Ren reads a repeating decimal with a whole part. An improper fraction is fine. If x = 2.333…, what fraction is x, in simplest form?

   7/3
6. 6.

   Tala finds a repeating decimal with a whole part. An improper fraction is fine. If x = 1.8181…, what fraction is x, in simplest form?

   20/11
7. 7.

   Strip of the digits: 4.[6] [6] [6] ... Zee meets a repeating decimal with a whole part. An improper fraction is fine. If x = 4.666…, what fraction is x, in simplest form?

   14/3
8. 8.

   Ari matches a repeating decimal to a fraction card. Which fraction equals 0.8484…?

   • 28/33
   • 84/100
   • 33/28
   • 84/9
9. 9.

   Esme matches a repeating decimal to a fraction on a game card. Which fraction equals 0.1414…?

   • 99/14
   • 14/100
   • 14/99
   • 14/9
10. 10.

    Jun checks which fraction a repeating decimal equals. Which fraction equals 0.5757…?

    • 19/33
    • 33/19
    • 57/9
    • 57/100