Worksheet: Converting a Repeating Decimal to a Fraction

In this worksheet, we will practice writing a repeating decimal as a fraction.

Q1:

Express 0 . 3 7 5 as a common fraction.

  • A 3 7 5 1 , 0 0 1
  • B 1 , 2 5 0 3 3 3
  • C 1 2 5 3 3 3
  • D 1 2 5 3 3 3

Q2:

Express 3 . 7 2 as a common fraction.

  • A 4 1 3 1 1 1
  • B 1 2 4 3 3
  • C 2 5 1 1
  • D 4 1 1 1
  • E 2 4 1 1

Q3:

Express 0 . 4 3 3 as a common fraction.

  • A 4 3 7 1 , 0 1 0
  • B 4 3 3 9 9 0
  • C 1 1 3 0
  • D 1 3 3 0
  • E 1 5 0

Q4:

Express 2 6 . 9 as a rational number.

  • A27
  • B 1 3
  • C 1 2 7
  • D3
  • E 1 2

Q5:

Express 0 . 1 3 + 0 . 7 3 2 as a common fraction.

  • A 8 6 9 1 , 0 1 0
  • B 1 , 0 1 6 4 9 5
  • C 5 9 1 1 0
  • D 1 9 2 2

Q6:

Write as a mixed number.

  • A
  • B
  • C
  • D
  • E

Q7:

Sherif’s test scores in chemistry were 69.4, 78, 81.1, 69.1, and 76.4. Determine his average test score, and using the table, determine his grade.

Grade A B C D F
Average Score 90–100 80–89 70–79 60–69 50–59
  • A69.8, B
  • B74.4, A
  • C74, C
  • D74.8, C
  • E69, D

Q8:

In a given month, the price of a bag of sugar increased by 5 c e n t s in the first week, increased by another 4 c e n t s in each of the next two weeks, and then decreased by 3 c e n t s in the fourth week. Determine the average change in the price of sugar over these 4 weeks.

Q9:

Express 4 . 1 as a common fraction.

  • A 4 0 6 9 9
  • B 4 1 9
  • C 3 5 9
  • D 3 7 9
  • E 4 9

Q10:

Express 1 . 4 2 as a common fraction.

  • A 7 0 3 4 9 5
  • B 7 1 4 5
  • C 6 2 4 5
  • D 6 4 4 5
  • E 7 2 2 5

Q11:

Express 2 . 8 3 as a common fraction.

  • A 4 6 7 1 6 5
  • B 2 8 3 9 0
  • C 8 3 3 0
  • D 1 7 6
  • E 7 7 5

Q12:

Express 3 . 6 1 as a common fraction.

  • A 1 , 7 8 7 4 9 5
  • B 3 6 1 9 0
  • C 3 2 3 9 0
  • D 6 5 1 8
  • E 1 2 5

Q13:

Express 0 . 1 5 8 as a common fraction.

  • A 1 5 8 1 , 0 0 1
  • B 1 , 5 8 0 9 9 9
  • C 1 5 8 9 9 9
  • D 1 5 8 9 9 9

Q14:

Express 2 . 5 4 8 as a common fraction.

  • A 1 , 6 9 7 6 6 6
  • B 1 , 2 7 4 4 9 5
  • C 8 0 9 3 3 0
  • D 8 4 1 3 3 0
  • E 4 3 3

Q15:

Express 0 . 2 2 + 0 . 2 9 4 as a common fraction.

  • A 2 5 8 5 0 5
  • B 1 , 2 4 7 4 9 5
  • C 5 8 4 9 5
  • D 2 5 6 4 9 5

Q16:

Express 0 . 8 4 + 0 . 2 6 7 as a common fraction.

  • A 1 , 1 0 9 1 , 0 1 0
  • B 9 6 3 1 1 0
  • C 7 0 9 9 9 0
  • D 2 2 1 1 9 8

Q17:

Express 0 . 1 6 + 0 . 9 4 6 as a common fraction.

  • A 2 2 3 2 0 2
  • B 1 , 2 7 3 4 9 5
  • C 1 3 7 1 9 8
  • D 1 , 0 9 7 9 9 0

Q18:

Express 0 . 6 3 + 0 . 9 1 6 as a common fraction.

  • A 3 1 1 2 0 2
  • B 3 2 8 4 5
  • C 4 9 1 9 8
  • D 1 , 5 3 7 9 9 0

Q19:

Express 0 . 0 2 + 0 . 9 4 8 as a common fraction.

  • A 9 7 7 1 , 0 1 0
  • B 5 7 4 4 9 5
  • C 8 2 3 9 9 0
  • D 9 5 9 9 9 0

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.