Worksheet: Converting Decimals to Fractions

In this worksheet, we will practice converting decimals into fractions.

Q1:

If you weigh 215 pounds on Earth, you would weigh 35.48 pounds on the Moon. Express the weight on the Moon as a mixed number in the simplest form.

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

Q2:

Write 1 3 2 5 as a decimal.

Q3:

Convert 0.268 to a fraction.

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

Q4:

Convert 0.42 to a fraction.

  • A 2 1 5
  • B 2 1 2 5
  • C 4 2 5
  • D 2 1 5 0
  • E 4 2 2 5

Q5:

Convert 0.4 to a fraction.

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

Q6:

Fares has to walk 0.72 miles to the gym. Express this distance as a fraction in the simplest form.

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

Q7:

Express the amount of rainfall on Sunday as a fraction.

Day Friday Saturday Sunday
Rainfall (Inches) 0.05 4.3 0.862
  • A 4 3 1 0 0
  • B 1 2 0
  • C 4 3 1 , 0 0 0
  • D 4 3 1 5 0 0
  • E 4 3 5 0 0

Q8:

6 0 % of the average adult human’s weight is water. As a decimal, this is 0.6. Write it as a fraction in its simplest form.

  • A 5 3
  • B 4 5
  • C 3 5 0
  • D 3 5
  • E 3 1 0

Q9:

Convert to a fraction.

  • A
  • B
  • C
  • D
  • E

Q10:

Convert to a fraction.

  • A
  • B
  • C
  • D
  • E

Q11:

Convert to a fraction.

  • A
  • B
  • C
  • D
  • E

Q12:

Express 0 . 7 5 as a rational number in its simplest form.

  • A 7 5 1 0 0
  • B 1 7 5
  • C0.7575
  • D 2 5 3 3

Q13:

Which of the following statements is not true?

  • A 0 . 3 7 5 = 3 8
  • B 6 . 6 5 = 6 1 3 2 0
  • C 0 . 2 = 1 5
  • D 1 1 . 2 = 1 1 1 1 5 0

Q14:

Express 0.00022 as a fraction in simplest form.

  • A 1 1 5 0 0 , 0 0 0
  • B 1 1 5 , 0 0 0
  • C 1 1 5 0 0
  • D 1 1 5 0 , 0 0 0
  • E 1 1 1 0 , 0 0 0

Q15:

Which of the following are a fraction and its decimal value that lie between and ?

  • A ,
  • B ,
  • C , 0.0625
  • D ,
  • E , 0.9375

Q16:

The given table shows the quantities of some ingredients used to bake a cake. Express the amount of sugar as a fraction in the simplest form.

Ingredient Flour Milk Sugar Butter
Amount (lb) 0.55 0.45 0.35 0.15
  • A 3 1 2 lb
  • B 2 6 7 lb
  • C 1 1 2 0 lb
  • D 7 2 0 lb
  • E 9 2 0 lb

Q17:

Poh-lang has a mosaic tile that is 1 9 2 5 in wide. Express the tile’s width as a decimal.

Q18:

Express the amount of rainfall on Friday as a fraction.

Day Friday Saturday Sunday
Rainfall (Inches) 0.05 4.8 0.244
  • A 6 1 2 5 0
  • B 5 2 4
  • C 1 2 0 0
  • D 1 2 0
  • E 2 5

Q19:

Express the amount of rainfall on Friday as a fraction.

Day Friday Saturday Sunday
Rainfall (Inches) 0.06 3.7 0.532
  • A 1 3 3 2 5 0
  • B 1 0 3 7
  • C 3 5 0 0
  • D 3 5 0
  • E 3 1 0

Q20:

Express the amount of rainfall on Friday as a fraction.

Day Friday Saturday Sunday
Rainfall (Inches) 0.07 5.5 0.707
  • A 7 0 7 1 , 0 0 0
  • B 2 1 1
  • C 7 1 , 0 0 0
  • D 7 1 0 0
  • E 1 2

Q21:

Which of the following is true?

  • A
  • B
  • C

Q22:

Convert to a fraction.

  • A
  • B
  • C
  • D
  • E

Q23:

Answer the following questions for the recurring decimal , that is, .

Let . Find an expression for

  • A
  • B
  • C
  • D
  • E

Subtract from to find an expression for .

  • A
  • B
  • C
  • D
  • E

Find .

  • A
  • B
  • C
  • D
  • E

Q24:

Answer the following questions for the recurring decimal , that is, .

Let Find an expression for .

  • A
  • B
  • C
  • D
  • E

Subtract from to find an expression for .

  • A
  • B
  • C
  • D
  • E

Find .

  • A
  • B
  • C
  • D
  • E

Q25:

Convert to a fraction.

  • A
  • B
  • C
  • D
  • E

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