# Lesson Worksheet: Converting Fractions to Decimals Mathematics • 7th Grade

In this worksheet, we will practice converting fractions to decimals by first rewriting the fraction to have a denominator of 10, 100, or 1000.

Q1:

Mason went running for hours. Express this mixed number as a decimal.

Q2:

The planet Mercury is roughly of the size of Earth. Write the fraction as a decimal.

Q3:

Q4:

The Siberian tiger can grow up to feet long. Express this length as a decimal.

Q5:

In the United States, there are Internet users per 100 people. Express the number of Internet users per 100 people as a decimal.

Q6:

Convert to a decimal.

Q7:

Rancho Middle School has an average of students per teacher. Write this fraction as a decimal.

Q8:

Convert to a decimal.

Q9:

At a party, people drank 11 bottles of soda. The soda bottles came in packs of 4. This makes packs of soda bottles. Write that number as a decimal.

Q10:

Michael’s truck can carry up to 3.634 tons of sand. One day, he was asked to transport tons. Will Michael be able to transport all the sand in one trip?

• ANo
• BYes

Q11:

Write as a decimal.

Q12:

In 2010, the number of people per square mile in Nevada was . Express this fraction as a decimal.

Q13:

Express as a decimal.

Q14:

.

• A72.66
• B7,210
• C72.61
• D72.061

Q15:

Write as a decimal.

Q16:

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

Q17:

Convert to a decimal.

Q18:

Write as a decimal.

Q19:

Convert the fraction to a decimal.

Q20:

Convert the fraction to a decimal.

Q21:

Convert to a decimal.

Q22:

Which of the following is equal to ?

• A0.05
• B0.12
• C0.2
• D0.21
• E1.2

Q23:

What fraction of the shape is shaded? What decimal number does the shaded area represent if the whole rectangle is 1? • A, 0.15
• B, 0.33
• C, 0.25
• D, 0.025
• E, 0.25

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?

Q24:

Convert to a decimal.

Q25:

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

• A4, 1,000, 0.0124
• B4, 100, 1.24
• C4, 100, 0.124
• D4, 10, 12.4