# 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.

**Q3: **

Calculate , rounding your answer to the nearest hundredth.

**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

**Q16: **

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