Worksheet: Converting Decimals to Fractions up to Three Decimal Places

In this worksheet, we will practice converting decimals with up to three decimal places to fractions and mixed numbers in their simplest form.

Q1:

Convert 381.493 to a mixed number in its simplest form.

  • A 4 9 3 3 8 1 1 , 0 0 0
  • B 4 9 3 3 8 1 1 0 0
  • C 3 8 1 4 9 3 1 , 0 0 0
  • D 3 8 1 4 9 3 1 0 0
  • E 3 8 1 4 9 3 1 0

Q2:

Elizabeth has 17 ounces of water. She used 4.2 ounces in one experiment and 4.5 ounces in another. Express the amount of water she has left as a mixed number in the simplest form.

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

Q3:

The given table shows the quantities of some ingredients used to bake a cake. What is the total weight of the ingredients as a mixed number?

Ingredient Flour Milk Sugar Butter
Amount (lb) 0.55 0.45 0.35 0.15
  • A 2 3 lb
  • B 1 7 2 0 lb
  • C 1 9 2 0 lb
  • D 1 3 5 lb
  • E 1 1 2 lb

Q4:

If Noah’s son is 6.75 years old, express his age as a mixed number in the simplest form.

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

Q5:

It takes approximately 4.65 quarts of milk to make a pound of cheese. Express this amount as a mixed number in its simplest form.

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

Q6:

The age of Earth is about 4.54billion years. Write this as a mixed number in its simplest form.

  • A 4 1 1 2 0 b i l l i o n years
  • B 4 1 2 b i l l i o n years
  • C 4 5 2 5 b i l l i o n years
  • D 4 2 7 5 0 b i l l i o n years
  • E 4 1 3 2 5 b i l l i o n years

Q7:

The closest distance between Earth and Mars is 33.92million miles. Write the decimal as a mixed number in its simplest form.

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

Q8:

James rode his bicycle 4.7 miles to school, 6.2 miles to the park, and then 5.9 miles to his friend’s house. Express the total miles James covered as a mixed number in the simplest form.

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

Q9:

Mr. Ethan’s car has an average mileage of 22.66 miles per gallon. Express this amount as a mixed number in its simplest form.

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

Q10:

Convert 8.58 to an improper fraction in its simplest form.

  • A 4 2 9 5 0
  • B 4 2 9 5 0 0
  • C 4 2 9 5
  • D 4 2 9 5 , 0 0 0

Q11:

The following table shows the answers of 3 problems in a math quiz.

Question 𝐴 𝐵 𝐶
Final Answer 0.08 2.8 0.052

Express the answer of question 𝐵 as a mixed fraction.

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

Q12:

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

Q13:

Convert 0.268 to a fraction.

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

Q14:

Convert 0.42 to a fraction.

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

Q15:

Convert 0.4 to a fraction.

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

Q16:

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

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

Q17:

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 0
  • B 4 3 1 5 0 0
  • C 4 3 5 0 0
  • D 4 3 1 0 0
  • E 1 2 0

Q18:

Which of the following statements is not true?

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

Q19:

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 1 1 2 0 lb
  • B 3 1 2 lb
  • C 2 6 7 lb
  • D 9 2 0 lb
  • E 7 2 0 lb

Q20:

It took Natalie 96.69 seconds to finish a puzzle, while William finished it in 96.75 seconds. Express the difference between those two periods of time as a fraction in its simplest form.

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

Q21:

Jacob visited a furniture store to buy a new table. The tables he found measured between 0.55 and 0.95 meters in height. Which of the following are two heights within the given span expressed as fractions in the simplest form?

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

Q22:

Convert 96.32 to a proper fraction or a mixed number.

  • A 8 2 5
  • B 9 6 8 2 5
  • C 9 6 3 1 5
  • D 9 9 3 1 5

Q23:

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

Q24:

Which of the following fractions is numerically closest to 0.82?

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

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