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Worksheet: Fractions to Decimals

Q1:

Convert 1 6 2 0 to a decimal.

Q2:

Complete the following and express the result as a decimal number: 3 3 6 1 2 5 = 3 3 6 × 1 2 5 × 8 = 2 6 8 8 = .

  • A8, 10, 26.88
  • B8, 100, 0.2688
  • C8, 1 000, 0.02688
  • D8, 1 000, 2.688

Q3:

Complete the following and express the result as a decimal number: 5 7 2 2 0 0 = 5 7 2 ÷ 2 0 0 ÷ 2 = 2 8 6 = .

  • A2, 10, 2.86
  • B2, 100, 28.6
  • C2, 10, 28.6
  • D2, 100, 2.86

Q4:

Victoria uses 3 4 5 cups of broth for her recipe, Scarlett uses 3.3 cups and Hannah uses 3 1 2 1 6 cups. Express each amount of broth as a decimal, and determine who uses the least amount.

  • AVictoria: 2.2 cups, Scarlett: 3.3 cups, Hannah: 2.25 cups, Scarlett
  • BVictoria: 3.8 cups, Scarlett: 3.3 cups, Hannah: 3.75 cups, Hannah
  • CVictoria: 2.2 cups, Scarlett: 3.3 cups, Hannah: 2.25 cups, Hannah
  • DVictoria: 3.8 cups, Scarlett: 3.3 cups, Hannah: 3.75 cups, Scarlett
  • EVictoria: 3.9 cups, Scarlett: 3.3 cups, Hannah: 3.875 cups, Scarlett

Q5:

What fraction of the shape is shaded? What decimal number does the shaded area represent if the whole rectangle is 1?

  • A 1 3 , 0.33
  • B 1 4 , 0.025
  • C 1 3 , 0.25
  • D 1 4 , 0.25
  • E 1 4 , 0.15

Six such diagrams are piled up, and they can all together be represented by a new number line from 0 to 6. The diagram shows proportional relationships since the part-to-whole ratios for 1 and for 6 diagrams, represented by the bottom and top number lines respectively, are equal. Find the missing number in the proportion table corresponding to the diagram

Part 1 0.25 6 ?
Whole 4 1 24 6

If 100 such diagrams were piled up, the whole number would represent 100. What number would the shaded area represent?

Q6:

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

Q7:

Fill in the blanks: 9 1 3 to the nearest 1 1 0 0 .

Q8:

Fill in the blanks: 9 1 1 to the nearest 1 1 0 0 .

Q9:

Fill in the blank: 2 3 to the nearest 1 1 0 .

Q10:

Fill in the blank: 4 7 to the nearest 1 1 0 .

Q11:

Fill in the blank: 8 1 3 to the nearest 1 1 0 .

Q12:

Convert the fraction 1 1 6 1 0 to a decimal.

Q13:

Write 3 4 2 5 as a decimal.

Q14:

Write 1 9 5 as a decimal.

Q15:

Convert 1 3 5 0 to a decimal.

  • A0.52
  • B0.13
  • C0.3
  • D0.26
  • E0.15

Q16:

Convert 1 1 7 2 1 0 0 to a decimal.

Q17:

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

Q18:

It took Amelia 117.296 seconds to finish a puzzle, while Ethan finished it in 117.306 seconds. Express the difference between those two periods of time as a fraction in its simplest form.

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

Q19:

Convert the fraction 1 2 5 to a decimal.

Q20:

Convert 3 4 into its decimal form.