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.

   Esme reads a repeating decimal on a screen. If x = 0.333…, what fraction is x, in simplest form?

   1/3
2. 2.

   Jun copies a repeating decimal into a notebook. If x = 0.666…, what fraction is x, in simplest form?

   2/3
3. 3.

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

   1/9
4. 4.

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

   10/33
5. 5.

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

   10/11
6. 6.

   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
7. 7.

   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
8. 8.

   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
9. 9.

   Bo picks the fraction for a repeating decimal. Which fraction equals 0.4848…?

   • 16/33
   • 48/9
   • 48/100
   • 33/16
10. 10.

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

    • 14/100
    • 14/99
    • 14/9
    • 99/14