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:

Calculate , rounding your answer to the nearest hundredth.

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	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?

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