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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

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Example Questions

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Example Question #31 : Build Fractions From Unit Fractions

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

Possible Answers:

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

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

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

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

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

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 #31 : Build Fractions From Unit Fractions

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

Possible Answers:

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

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

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

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

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

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 #32 : Build Fractions From Unit Fractions

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

Possible Answers:

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

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

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

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

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

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 #33 : Build Fractions From Unit Fractions

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

Possible Answers:

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

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

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

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

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

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 #34 : Build Fractions From Unit Fractions

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

Possible Answers:

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

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

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

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

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

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 #35 : Build Fractions From Unit Fractions

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

Possible Answers:

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

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

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

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

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

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 #1 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

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:

$\frac{5}{6}$

$\frac{2}{6}$

$\frac{4}{6}$

$\frac{1}{6}$

$\frac{3}{6}$

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 #1 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

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

Possible Answers:

$\frac{1}{6}$

$1\frac{1}{2}$

$\frac{3}{6}$

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 #31 : Build Fractions From Unit Fractions

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

Possible Answers:

$2\frac{1}{3}$

$\frac{2}{3}$

$\frac{3}2{}$

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 #3 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

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

Possible Answers:

$\frac{5}{6}$

$4\frac{1}{3}$

$9\frac{2}{3}$

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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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 : Build Fractions From Unit Fractions

Example Question #31 : Build Fractions From Unit Fractions

Example Question #32 : Build Fractions From Unit Fractions

Example Question #33 : Build Fractions From Unit Fractions

Example Question #34 : Build Fractions From Unit Fractions

Example Question #35 : Build Fractions From Unit Fractions

Example Question #1 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

Example Question #1 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

Example Question #31 : Build Fractions From Unit Fractions

Example Question #3 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

All Common Core: 4th Grade Math Resources

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