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Common Core: 4th Grade Math : Build fractions from unit fractions

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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All Common Core: 4th Grade Math Resources

7 Diagnostic Tests 189 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #271 : Number & Operations: Fractions

Linda is having her friends over for a game night. If each person at the game night will drink $\frac{4}{10}$ of a liter of soda, and there will be people at the game night, how many liters of soda will Linda need? Select the choice with the whole numbers that your answer will be between.

Possible Answers:

and

Correct answer:

and

Explanation:

$\frac{9}{1}\times\frac{4}{10}=\frac{36}{10}$

$\frac{36}{10}=3\frac{6}{10}$ because can go into three times, with left over.

$3\frac{6}{10}$ is between the whole numbers and .

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Example Question #1891 : Ssat Middle Level Quantitative (Math)

David is packing for a camping trip with his friends. If each person on the camping trip will roast $\frac{1}{6}$ of a bag of marshmallows, and there will be people camping, how many bags of marshmallows will David need? Select the choice with the whole numbers that your answer will be between.

Possible Answers:

and

Correct answer:

and

Explanation:

$\frac{17}{1}\times\frac{1}{6}=\frac{17}{6}$

$\frac{17}{6}=2\frac{5}{6}$ because can go into two times, with left over.

$2\frac{5}{6}$ is between the whole numbers and .

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Example Question #1892 : Ssat Middle Level Quantitative (Math)

David is packing for a camping trip with his friends. If each person on the camping trip will roast $\frac{5}{6}$ of a bag of marshmallows, and there will be people camping, how many bags of marshmallows will David need? Select the choice with the whole numbers that your answer will be between.

Possible Answers:

and

Correct answer:

and

Explanation:

$\frac{4}{1}\times\frac{5}{6}=\frac{20}{6}$

$\frac{20}{6}=3\frac{2}{6}$ because can go into three times, with left over.

$3\frac{2}{6}$ is between the whole numbers and .

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Example Question #757 : Fractions

David is packing for a camping trip with his friends. If each person on the camping trip will roast $\frac{4}{6}$ of a bag of marshmallows, and there will be people camping, how many bags of marshmallows will David need? Select the choice with the whole numbers that your answer will be between.

Possible Answers:

and

Correct answer:

and

Explanation:

$\frac{10}{1}\times\frac{4}{6}=\frac{40}{6}$

$\frac{40}{6}=6\frac{4}{6}$ because can go into six times, with left over.

$6\frac{4}{6}$ is between the whole numbers and .

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Example Question #191 : Build Fractions From Unit Fractions

$4\frac{1}{5}+1\frac{1}{5}$

Possible Answers:

$5\frac{3}{10}$

$5\frac{1}{10}$

$5\frac{2}{5}$

$5\frac{1}{5}$

$5\frac{2}{10}$

Correct answer:

$5\frac{2}{5}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

4+1=5

$\frac{1}{5}+\frac{1}{5}=\frac{2}{5}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

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Example Question #192 : Build Fractions From Unit Fractions

$2\frac{5}{10}+5\frac{3}{10}$

Possible Answers:

$7\frac{9}{10}$

$7\frac{4}{5}$

$7\frac{3}{5}$

$7\frac{7}{10}$

$7\frac{3}6{}$

Correct answer:

$7\frac{4}{5}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

2+5=7

$\frac{5}{10}+\frac{3}{10}=\frac{8}{10}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

$\frac{8}{10}$ can be reduced by dividing to both sides.

$\frac{8}{10}\div\frac{2}{2}=\frac{4}{5}$

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Example Question #193 : Build Fractions From Unit Fractions

$3\frac{1}{5}+8\frac{2}{5}$

Possible Answers:

$11\frac{4}{10}$

$11\frac{3}{10}$

$11\frac{4}{5}$

$11\frac{3}{5}$

Correct answer:

$11\frac{3}{5}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

3+8=11

$\frac{1}{5}+\frac{2}{5}=\frac{3}{5}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

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Example Question #1 : Adding Mixed Numbers

Solve:

$6\frac{4}{10}+5\frac{5}{10}$

Possible Answers:

$11\frac{8}{20}$

$11\frac{4}{5}$

$11\frac{9}{10}$

$11\frac{9}{20}$

$11\frac{8}{10}$

Correct answer:

$11\frac{9}{10}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

6+5=11

$\frac{4}{10}+\frac{5}{10}=\frac{9}{10}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

Report an Error

Example Question #3 : Adding Mixed Numbers

$2\frac{3}{7}+9\frac{1}{7}$

Possible Answers:

$11\frac{3}{14}$

$11\frac{4}{7}$

$11\frac{4}{14}$

$11\frac{3}{7}$

Correct answer:

$11\frac{4}{7}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

2+9=11

$\frac{3}{7}+\frac{1}{7}=\frac{4}{7}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

Report an Error

Example Question #4 : Adding Mixed Numbers

$5\frac{3}{6}+8\frac{2}{6}$

Possible Answers:

$13\frac{5}{12}$

$13\frac{5}{6}$

$13\frac{3}{6}$

$13\frac{1}{2}$

Correct answer:

$13\frac{5}{6}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

5+8=13

$\frac{3}{6}+\frac{2}{6}=\frac{5}{6}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

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All Common Core: 4th Grade Math Resources

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Common Core: 4th Grade Math : Build fractions from unit fractions

Study concepts, example questions & explanations for Common Core: 4th Grade Math

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #271 : Number & Operations: Fractions

Example Question #1891 : Ssat Middle Level Quantitative (Math)

Example Question #1892 : Ssat Middle Level Quantitative (Math)

Example Question #757 : Fractions

Example Question #191 : Build Fractions From Unit Fractions

Example Question #192 : Build Fractions From Unit Fractions

Example Question #193 : Build Fractions From Unit Fractions

Example Question #1 : Adding Mixed Numbers

Example Question #3 : Adding Mixed Numbers

Example Question #4 : Adding Mixed Numbers

All Common Core: 4th Grade Math Resources

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HIGH SCHOOL

GRADUATE SCHOOL

K-8

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math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Common Core: 4th Grade Math : Build fractions from unit fractions

Study concepts, example questions & explanations for Common Core: 4th Grade Math

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #271 : Number & Operations: Fractions

Example Question #1891 : Ssat Middle Level Quantitative (Math)

Example Question #1892 : Ssat Middle Level Quantitative (Math)

Example Question #757 : Fractions

Example Question #191 : Build Fractions From Unit Fractions

Example Question #192 : Build Fractions From Unit Fractions

Example Question #193 : Build Fractions From Unit Fractions

Example Question #1 : Adding Mixed Numbers

Example Question #3 : Adding Mixed Numbers

Example Question #4 : Adding Mixed Numbers

All Common Core: 4th Grade Math Resources

Report an issue with this question

DMCA Complaint

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Complaint Details

Example Question #271 : Number & Operations: Fractions