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.

3. 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

A point at 0.750.75 on a number line is equal to which fraction?

Please select an answer first.

Correct answer: A

The correct answer is 34\frac{3}{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: 0.75=75100=340.75 = \frac{75}{100} = \frac{3}{4}.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

0.75=75100=340.75 = \frac{75}{100} = \frac{3}{4}.

2. QuestionMultiple choice

Which number is greater: 56\frac{5}{6} or 0.80.8?

Please select an answer first.

Correct answer: B

The correct answer is 56\frac{5}{6}.

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: 56≈0.833\frac{5}{6} \approx 0.833, which is greater than 0.80.8.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

56≈0.833\frac{5}{6} \approx 0.833, which is greater than 0.80.8.

3. QuestionMultiple choice

In the fraction 79\frac{7}{9}, which number is the denominator?

Please select an answer first.

Correct answer: C

The correct answer is 99.

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: The denominator is the bottom number of a fraction, so it is 9.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

The denominator is the bottom number of a fraction, so it is 9.

4. QuestionMultiple choice

Which fraction is equivalent to 25\frac{2}{5} with a denominator of 20?

Please select an answer first.

Correct answer: D

The correct answer is 820\frac{8}{20}.

  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 numerator and denominator by 4: 2×45×4=820\frac{2 \times 4}{5 \times 4} = \frac{8}{20}.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

Multiply numerator and denominator by 4: 2×45×4=820\frac{2 \times 4}{5 \times 4} = \frac{8}{20}.

5. QuestionMultiple choice

What is the fraction form of 0.040.04?

Please select an answer first.

Correct answer: A

The correct answer is 125\frac{1}{25}.

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: 0.04=4100=1250.04 = \frac{4}{100} = \frac{1}{25} after dividing by 4.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

0.04=4100=1250.04 = \frac{4}{100} = \frac{1}{25} after dividing by 4.

6. QuestionMultiple choice

Which number is greater: 38\frac{3}{8} or 0.40.4?

Please select an answer first.

Correct answer: B

The correct answer is 0.40.4.

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: 38=0.375\frac{3}{8} = 0.375, so 0.40.4 is greater.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

38=0.375\frac{3}{8} = 0.375, so 0.40.4 is greater.

7. QuestionMultiple choice

What is the fraction form of 1.21.2?

Please select an answer first.

Correct answer: C

The correct answer is 65\frac{6}{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: 1.2=1210=651.2 = \frac{12}{10} = \frac{6}{5} after simplifying by 2.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

1.2=1210=651.2 = \frac{12}{10} = \frac{6}{5} after simplifying by 2.

8. QuestionMultiple choice

What is the improper-fraction form of 2352\frac{3}{5}?

Please select an answer first.

Correct answer: D

The correct answer is 135\frac{13}{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: Multiply the whole number by the denominator and add the numerator: 2×5+3=132 \times 5 + 3 = 13, so the fraction is 135\frac{13}{5}.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

Multiply the whole number by the denominator and add the numerator: 2×5+3=132 \times 5 + 3 = 13, so the fraction is 135\frac{13}{5}.

9. QuestionMultiple choice

Which ordering is from least to greatest?

Please select an answer first.

Correct answer: A

The correct answer is 0.5<23<0.750.5 < \frac{2}{3} < 0.75.

  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, so 0.5<0.667<0.750.5 < 0.667 < 0.75.
  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, so 0.5<0.667<0.750.5 < 0.667 < 0.75.

10. QuestionMultiple choice

Why does multiplying the numerator and denominator by the same nonzero number create an equivalent fraction?

Please select an answer first.

Correct answer: B

The correct answer is It keeps the value of the fraction unchanged while using a different representation..

  1. Identify the representation: Read the fraction, decimal, mixed number, or operation and keep the place value or denominator clear.
  2. Convert or calculate: Multiplying by the same number is equivalent to multiplying by 1, so the fraction keeps the same value.
  3. Check the result: Compare the answer with the original quantity and choose the matching value.

Multiplying by the same number is equivalent to multiplying by 1, so the fraction keeps the same value.

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.