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Converting Decimals and Fractions - Printable Mathematics Worksheets class 6 - Wayground

Converting Decimals and Fractions

10 questions

6th - 6th Grade

Mathematics

This free Grade 6 mathematics worksheet gives students focused practice converting between decimals and fractions in simplest form. Across 10 multiple-choice questions, students write terminating decimals such as 0.375 and 0.8 as simplified fractions, convert fractions such as 14/25 and 9/12 to decimals, and express mixed numbers such as 14 3/5 and 4.65 as decimals or simplified mixed numbers. The questions use practical measurement and everyday contexts, including distance, length, shell size, and amounts of milk, so students apply conversion skills beyond isolated number exercises. Answer choices reveal common errors such as failing to simplify, misplacing the decimal, or treating a decimal’s place value as its final fraction. This worksheet is a free printable worksheet with a complete answer key for independent practice, guided review, or a quick Grade 6 assessment.

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Worksheets

Converting Decimals and Fractions

Total questions: 10

Name
Class
Date
1.

Write the decimasl 9.35 as a fraction in simplest form.

a)

9 35/100

b)

187/20

c)

9 7/20

d)

0.935

2.

Evita lives 0.85 mile from her school. Write this distance as a fraction in simplest form.

a)

17/20 mi

b)

85/100 mi

c)

85/1000

d)

8 1/2

3.

Write the mixed fraction 14 3/5 as a decimal.

a)

14.35

b)

1.375

c)

6.14

d)

14.6

4.

A catepillar is 1 3/8 inches and can have as many as 4,000 muscles, compared to humans, who have about 600. Write the length of the caterpillar as a decimal.

a)

1.38

b)

1.375

c)

1 375/1000

d)

1.3

5.

Write 9/12 as a decimal.

a)

1.33

b)

0.912

c)

0.75

d)

9.12

6.

The average length of a conch shell is 9.87 inches. Express as a mixed number in simplest form.

a)

9 7/8

b)

7 8/9

c)

9 87/100

d)

9 17/20

7.

Write 14/25 as a decimal.

a)

0.56

b)

0.142

c)

0.1425

d)

14.25

8.

It takes approximately 4.65 quarts of milk to make a pound of cheese. Express this amount as a mixed number in simplest form.

a)

4 13/200

b)

4 65/1000

c)

4 65/100

d)

4 13/20

9.

Write 0.375 as a fraction in its simplest form.

a)

3/8

b)

375/1000

c)

75/200

d)

15/40

10.

Write 0.8 as a fraction in simplest form.

a)

12/15

b)

8/10

c)

8/1000

d)

4/5

Answer Key

Converting Decimals and Fractions

Total questions: 10

1.
c)

9 7/20

2.
a)

17/20 mi

3.
d)

14.6

4.
b)

1.375

5.
c)

0.75

6.
c)

9 87/100

7.
a)

0.56

8.
d)

4 13/20

9.
a)

3/8

10.
d)

4/5

FAQs

What does the Converting Decimals and Fractions worksheet cover?

This Grade 6 mathematics worksheet uses 10 multiple-choice questions to practise converting terminating decimals to fractions in simplest form, fractions to decimals, and decimals to simplified mixed numbers. Students work with values such as 0.375 = 3/8, 14/25 = 0.56, and 4.65 = 4 13/20, building accuracy with place value and fraction simplification.

How can I use this worksheet to teach converting decimals and fractions?

First model one conversion in each direction, such as changing 0.85 to 85/100 and then simplifying to 17/20, before students attempt the multiple-choice items. Ask students to explain why each incorrect option fails—for example, whether it leaves a fraction unsimplified or misreads decimal place value—then use the measurement contexts to connect the conversions to real quantities.

What mistakes should I watch for when students complete this worksheet?

Students may write the decimal digits as an unsimplified fraction, such as 8/10 for 0.8, without reducing it to 4/5. They may also confuse tenths, hundredths, and thousandths when converting values such as 0.375, or convert only the fractional part of a mixed number instead of writing the complete decimal, as with 14 3/5 = 14.6.

How do I assign and grade this worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, with a complete answer key for all 10 multiple-choice questions. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or review responses from the digital version on Wayground. The printable option also supports schools that want to reduce screen time.

How can I differentiate this decimals-and-fractions worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the multiple-choice conversion items are easier to read and mark. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the decimal, fraction, and mixed-number questions.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.