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.

   Milo writes a repeating decimal on a poster. If x = 0.2424…, what fraction is x, in simplest form?

   8/33
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.

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

   8/11
7. 7.

   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
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.

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

   • 33/28
   • 28/33
   • 84/100
   • 84/9
10. 10.

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

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