# Worksheet: Converting Fractions to Decimals

In this worksheet, we will practice converting a fraction into a decimal, noting that the decimal expansion of a rational number either terminates or eventually repeats.

Q1:

Convert to a decimal.

Q2:

Fill in the blank: to the nearest .

Q3:

Fill in the blanks: to the nearest .

Q4:

Write as a decimal.

Q5:

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

• A
• B
• C
• D
• E

Q6:

Convert the fraction to a decimal.

Q7:

Convert the fraction to a decimal.

Q8:

Convert to a decimal.

Q9:

Which of the following is equal to ?

• A0.12
• B0.2
• C0.21
• D0.05
• E1.2

Q10:

The length of one side of a square is equal to of the perimeter. Express as a decimal.

Q11:

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

• A , 0.33
• B , 0.025
• C , 0.25
• D , 0.25
• E , 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 Whole 1 0.25 6 ? 4 1 24 6

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

Q12:

Convert to a decimal.

Q13:

Complete the following and express the result as a decimal number: .

• A4, 10, 12.4
• B4, 100, 0.124
• C 4, 1,000, 0.0124
• D4, 100, 1.24

Q14:

Complete the following and express the result as a decimal number: .

• A2, 100, 0.093
• B 2, 1,000, 0.93
• C2, 100, 0.93
• D 2, 1,000, 0.093

Q15:

Convert to a decimal.

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

Q16:

Convert into its decimal form.

Q17:

Yara uses cups of broth for her recipe, Farida uses 3.3 cups and Rania uses cups. Express each amount of broth as a decimal, and determine who uses the least amount.

• AYara: 2.2 cups, Farida: 3.3 cups, Rania: 2.25 cups, Farida
• BYara: 3.8 cups, Farida: 3.3 cups, Rania: 3.75 cups, Rania
• CYara: 2.2 cups, Farida: 3.3 cups, Rania: 2.25 cups, Rania
• DYara: 3.8 cups, Farida: 3.3 cups, Rania: 3.75 cups, Farida
• EYara: 3.9 cups, Farida: 3.3 cups, Rania: 3.875 cups, Farida

Q18:

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

• A m, m
• B m, m
• C m, m
• D m, m
• E m, m

Q19:

Convert to a decimal.

• A
• B
• C
• D
• E

Q20:

When two students were asked to find two decimals that lie between and , the first student picked 0.935 and 1.03, whereas the second student picked 0.44 and 1.28. Which of the two is correct?

• Athe first student
• Bthe second student

Q21:

Which of the following fractions has a recurring decimal expansion?

• A
• B
• C
• D
• E

Q22:

Convert into its decimal form.

• A0.34
• B0.3
• C0.33
• D
• E0.4

Q23:

Convert into its decimal form.

• A0.67
• B0.6
• C
• D
• E0.7

Q24:

Convert to a decimal.

• A
• B
• C
• D
• E

Q25:

Write as a recurring decimal.

• A
• B
• C
• D