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Grade 6 Math · Fractions and Decimals

Grade 6 Fractions and Decimals Practice Test

Build Grade 6 Math skills with five 10-question practice tests on fraction and decimal equivalence, comparison, operations, number lines, estimation, and real-world problems.

Fractions and Decimals Practice Tests

These Grade 6 Math practice tests help students move between fractions and decimals and use both forms to solve problems. Students practice place value, equivalent representations, comparison, ordering, fraction and decimal operations, number lines, estimation, equations, and real-world applications.

Skills covered

  • Converting fractions to decimals and decimals to fractions
  • Recognizing equivalent fractions, mixed numbers, and improper fractions
  • Comparing and ordering fractions and decimals
  • Adding, subtracting, multiplying, and dividing fractions and decimals
  • Using number lines, place value, equations, and tables
  • Estimating and checking whether results are reasonable
  • Applying fraction and decimal reasoning to money, measurement, recipes, and rates

How to use these practice tests

Choose a common denominator or place-value form when comparing values. Align decimal points for decimal operations, simplify fraction answers when possible, and use a number line or estimate to check the result. Keep mathematical notation clear when working with mixed numbers and fractions.

For more Grade 6 Math practice, return to the Grade 6 Math category.

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5 Tests
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5. Test

Grade 6 Fractions and Decimals Practice Tests

A 10-question Grade 6 Math practice test on fraction and decimal equivalence, comparison, operations, number lines, estimation, and real-world applications.

Use equivalent fractions and decimals, align place values, show each operation clearly, and check whether the result is reasonable.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

Which estimate is reasonable for 12+0.48\frac{1}{2} + 0.48?

Please select an answer first.

Correct answer: A

The correct answer is 11.

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: 12=0.5\frac{1}{2} = 0.5, so 0.5+0.48=0.980.5 + 0.48 = 0.98, which is close to 1.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

12=0.5\frac{1}{2} = 0.5, so 0.5+0.48=0.980.5 + 0.48 = 0.98, which is close to 1.

2. QuestionMultiple choice

Solve x+0.35=1x + 0.35 = 1.

Please select an answer first.

Correct answer: B

The correct answer is 0.650.65.

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: Subtract 0.35 from both sides: x=1.00−0.35=0.65x = 1.00 - 0.35 = 0.65.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

Subtract 0.35 from both sides: x=1.00−0.35=0.65x = 1.00 - 0.35 = 0.65.

3. QuestionMultiple choice

A table shows a rate of 0.20.2 liter per container. How many liters fill 5 containers?

Please select an answer first.

Correct answer: C

The correct answer is 11.

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: Multiply the unit rate by the number of containers: 0.2×5=10.2 \times 5 = 1 liter.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

Multiply the unit rate by the number of containers: 0.2×5=10.2 \times 5 = 1 liter.

4. QuestionMultiple choice

Which pair has equal values?

Please select an answer first.

Correct answer: D

The correct answer is 0.6 and 350.6 \text{ and } \frac{3}{5}.

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: 35=610=0.6\frac{3}{5} = \frac{6}{10} = 0.6.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

35=610=0.6\frac{3}{5} = \frac{6}{10} = 0.6.

5. QuestionMultiple choice

A student says 23\frac{2}{3} is less than 0.60.6. What is the correction?

Please select an answer first.

Correct answer: A

The correct answer is 23 is greater because it is about 0.667\frac{2}{3} \text{ is greater because it is about } 0.667.

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: 23≈0.667\frac{2}{3} \approx 0.667, and 0.667>0.60.667 > 0.6.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

23≈0.667\frac{2}{3} \approx 0.667, and 0.667>0.60.667 > 0.6.

6. QuestionMultiple choice

What is the fraction form of 0.3750.375?

Please select an answer first.

Correct answer: B

The correct answer is 38\frac{3}{8}.

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: 0.375=3751000=380.375 = \frac{375}{1000} = \frac{3}{8} after simplifying.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

0.375=3751000=380.375 = \frac{375}{1000} = \frac{3}{8} after simplifying.

7. QuestionMultiple choice

A recipe uses 0.75 cup of flour for one batch. How much flour is needed for 4 batches?

Please select an answer first.

Correct answer: C

The correct answer is 33.

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: Multiply the amount per batch by 4: 0.75×4=30.75 \times 4 = 3 cups.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

Multiply the amount per batch by 4: 0.75×4=30.75 \times 4 = 3 cups.

8. QuestionMultiple choice

How can 1.25 hours be written as a mixed number of hours?

Please select an answer first.

Correct answer: D

The correct answer is 1141\frac{1}{4}.

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: 0.25=140.25 = \frac{1}{4}, so 1.25=1141.25 = 1\frac{1}{4}.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

0.25=140.25 = \frac{1}{4}, so 1.25=1141.25 = 1\frac{1}{4}.

9. QuestionMultiple choice

What is the best strategy for adding decimals?

Please select an answer first.

Correct answer: A

The correct answer is Align the decimal points and add by place value..

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: Aligning decimal points keeps ones, tenths, hundredths, and other places together.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

Aligning decimal points keeps ones, tenths, hundredths, and other places together.

10. QuestionMultiple choice

Which summary best describes Grade 6 Fractions and Decimals?

Please select an answer first.

Correct answer: B

The correct answer is Fractions and decimals are equivalent ways to represent quantities and can be compared, converted, and used in operations and real-world problems..

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: A complete summary connects equivalent forms, place value, operations, comparison, estimation, and applications.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

A complete summary connects equivalent forms, place value, operations, comparison, estimation, and applications.

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Frequently asked questions about Grade 6 Fractions and Decimals

What topics are covered?

The page covers fraction and decimal conversions, equivalent forms, comparisons, ordering, operations, number lines, estimation, equations, and real-world applications.

Why are equivalent forms useful?

Equivalent fractions and decimals allow students to compare quantities and choose the form that makes a calculation or explanation clearer.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 6 Fractions and Decimals questions in total.