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 215 hours. Express this mixed number as a decimal.

Q2:

The planet Mercury is roughly 25 of the size of Earth. Write the fraction as a decimal.

Q3:

Calculate 1.425÷425, rounding your answer to the nearest hundredth.

Q4:

The Siberian tiger can grow up to 1045 feet long. Express this length as a decimal.

Q5:

In the United States, there are 78750 Internet users per 100 people. Express the number of Internet users per 100 people as a decimal.

Q6:

Convert 6415 to a decimal.

Q7:

Rancho Middle School has an average of 2338 students per teacher. Write this fraction as a decimal.

Q8:

Convert 9492691,000 to a decimal.

Q9:

At a party, people drank 11 bottles of soda. The soda bottles came in packs of 4. This makes 234 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 3916 tons. Will Michael be able to transport all the sand in one trip?

  • ANo
  • BYes

Q11:

Write 435 as a decimal.

Q12:

In 2010, the number of people per square mile in Nevada was 2435. Express this fraction as a decimal.

Q13:

Express 21920 as a decimal.

Q14:

72+61100>.

  • A72.66
  • B7,210
  • C72.61
  • D72.061

Q15:

Write 1325 as a decimal.

Q16:

Poh-lang has a mosaic tile that is 1925 in wide. Express the tile’s width as a decimal.

Q17:

Convert 1620 to a decimal.

Q18:

Write 3425 as a decimal.

Q19:

Convert the fraction 11610 to a decimal.

Q20:

Convert the fraction 125 to a decimal.

Q21:

Convert 35 to a decimal.

Q22:

Which of the following is equal to 120?

  • 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?

  • A14, 0.15
  • B13, 0.33
  • C14, 0.25
  • D14, 0.025
  • E13, 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

Part10.256?
Whole41246

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

Q24:

Convert 1,172100 to a decimal.

Q25:

Complete the following and express the result as a decimal number: 3125=31×25×4=124=.

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

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