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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 #31 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$18\frac{4}{12}$ is equal to which of the options below?

Possible Answers:

$13\frac{1}{12}+5\frac{3}{12}$

$13\frac{3}{12}+5\frac{3}{12}$

$14\frac{2}{12}+5\frac{3}{12}$

$13\frac{3}{12}+7\frac{3}{12}$

$13\frac{2}{12}+5\frac{3}{12}$

Correct answer:

$13\frac{1}{12}+5\frac{3}{12}$

Explanation:

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

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$13\frac{1}{12}+5\frac{3}{12}=18\frac{4}{12}$

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Example Question #32 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$11\frac{7}{12}$ is equal to which of the options below?

Possible Answers:

$4\frac{2}{12}+2\frac{1}{12}+6\frac{4}{12}$

$5\frac{2}{12}+2\frac{1}{12}+4\frac{4}{12}$

$4\frac{2}{12}+2\frac{1}{12}+4\frac{5}{12}$

$4\frac{2}{12}+2\frac{3}{12}+4\frac{4}{12}$

$4\frac{2}{12}+2\frac{1}{12}+4\frac{4}{12}$

Correct answer:

$4\frac{2}{12}+2\frac{1}{12}+4\frac{4}{12}$

Explanation:

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

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$4\frac{2}{12}+2\frac{1}{12}+4\frac{4}{12}=11\frac{7}{12}$

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Example Question #31 : Build Fractions From Unit Fractions

$36\frac{11}{12}$ is equal to which of the options below?

Possible Answers:

$15\frac{5}{12}+10\frac{3}{12}+14\frac{2}{12}$

$15\frac{5}{12}+10\frac{4}{12}+14\frac{2}{12}$

$12\frac{5}{12}+10\frac{4}{12}+14\frac{2}{12}$

$12\frac{5}{12}+10\frac{3}{12}+14\frac{2}{12}$

$12\frac{5}{12}+11\frac{4}{12}+14\frac{2}{12}$

Correct answer:

$12\frac{5}{12}+10\frac{4}{12}+14\frac{2}{12}$

Explanation:

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

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$12\frac{5}{12}+10\frac{4}{12}+14\frac{2}{12}=36\frac{11}{12}$

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Example Question #331 : Fractions

$16\frac{8}{12}$ is equal to which of the options below?

Possible Answers:

$7\frac{1}{12}+4\frac{2}{12}+4\frac{3}{12}$

$7\frac{3}{12}+4\frac{2}{12}+5\frac{3}{12}$

$8\frac{3}{12}+4\frac{3}{12}+5\frac{3}{12}$

$8\frac{3}{12}+4\frac{2}{12}+5\frac{3}{12}$

$7\frac{3}{12}+4\frac{2}{12}+4\frac{3}{12}$

Correct answer:

$7\frac{3}{12}+4\frac{2}{12}+5\frac{3}{12}$

Explanation:

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

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$7\frac{3}{12}+4\frac{2}{12}+5\frac{3}{12}=16\frac{8}{12}$

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Example Question #113 : Number & Operations: Fractions

$25\frac{13}{14}$ is equal to which of the options below?

Possible Answers:

$11\frac{9}{14}+12\frac{4}{14}$

$13\frac{9}{14}+12\frac{6}{14}$

$13\frac{9}{14}+12\frac{4}{14}$

$13\frac{9}{14}+14\frac{4}{14}$

$13\frac{10}{14}+12\frac{4}{14}$

Correct answer:

$13\frac{9}{14}+12\frac{4}{14}$

Explanation:

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

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$13\frac{9}{14}+12\frac{4}{14}=25\frac{13}{14}$

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Example Question #32 : Build Fractions From Unit Fractions

$28\frac{7}{14}$ is equal to which of the options below?

Possible Answers:

$13\frac{2}{14}+9\frac{2}{14}+6\frac{3}{14}$

$13\frac{2}{14}+12\frac{2}{14}+6\frac{3}{14}$

$11\frac{2}{14}+9\frac{2}{14}+7\frac{3}{14}$

$13\frac{2}{14}+6\frac{2}{14}+7\frac{3}{14}$

$13\frac{2}{14}+9\frac{2}{14}+7\frac{3}{14}$

Correct answer:

$13\frac{2}{14}+9\frac{2}{14}+6\frac{3}{14}$

Explanation:

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

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$13\frac{2}{14}+9\frac{2}{14}+6\frac{3}{14}=28\frac{7}{14}$

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Example Question #111 : Number & Operations: Fractions

This year, Samantha grew $\frac{1}{6}$ of an inch, and her brother, David, grew $\frac{2}{6}$ of an inch. How much more did David grow than Samantha?

Possible Answers:

$\frac{3}{6}$

$\frac{1}{6}$

$\frac{5}{6}$

$\frac{2}{6}$

$\frac{4}{6}$

Correct answer:

$\frac{1}{6}$

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they've grown.

$\frac{2}{6}-\frac{1}{6}=\frac{1}{6}$

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Example Question #1063 : Numbers And Operations

$3\times\frac{1}{2}=$

Possible Answers:

$\frac{1}{6}$

$\frac{3}{6}$

$1\frac{1}{2}$

Correct answer:

$1\frac{1}{2}$

Explanation:

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over .

$\frac{3}{1}\times\frac{1}{2}=\frac{3}{2}$

$\frac{3}{2}=1\frac{1}{2}$ because can go into one time, and $\frac{1}{2}$ is left over.

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Example Question #2 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

$2\times\frac{1}{3}=$

Possible Answers:

$\frac{2}{3}$

$2\frac{1}{3}$

$\frac{3}2{}$

Correct answer:

$\frac{2}{3}$

Explanation:

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over .

$\frac{2}{1}\times\frac{1}{3}=\frac{2}{3}$

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Example Question #121 : Number & Operations: Fractions

$9\times\frac{2}{3}=$

Possible Answers:

$9\frac{2}{3}$

$\frac{5}{6}$

$4\frac{1}{3}$

Correct answer:

Explanation:

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over .

$\frac{9}{1}\times\frac{2}{3}=\frac{18}{3}$

$\frac{18}{3}=6$ because can go into six times.

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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 #31 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #32 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #31 : Build Fractions From Unit Fractions

Example Question #331 : Fractions

Example Question #113 : Number & Operations: Fractions

Example Question #32 : Build Fractions From Unit Fractions

Example Question #111 : Number & Operations: Fractions

Example Question #1063 : Numbers And Operations

Example Question #2 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

Example Question #121 : Number & Operations: Fractions

All Common Core: 4th Grade Math Resources

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HIGH SCHOOL

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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 #31 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #32 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #31 : Build Fractions From Unit Fractions

Example Question #331 : Fractions

Example Question #113 : Number & Operations: Fractions

Example Question #32 : Build Fractions From Unit Fractions

Example Question #111 : Number & Operations: Fractions

Example Question #1063 : Numbers And Operations

Example Question #2 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

Example Question #121 : Number & Operations: Fractions

All Common Core: 4th Grade Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Example Question #113 : Number & Operations: Fractions

Example Question #111 : Number & Operations: Fractions

Example Question #121 : Number & Operations: Fractions