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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 #1484 : Ssat Middle Level Quantitative (Math)

$38\frac{6}{12}+12\frac{1}{12}$

Possible Answers:

$50\frac{7}{12}$

$52\frac{7}{12}$

$50\frac{8}{12}$

$50\frac{9}{12}$

$52\frac{8}{12}$

Correct answer:

$50\frac{7}{12}$

Explanation:

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

38+12=50

$\frac{6}{12}+\frac{1}{12}=\frac{7}{12}$

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

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Example Question #212 : Build Fractions From Unit Fractions

$13\frac{1}{5}+14\frac{2}{5}$

Possible Answers:

$29\frac{2}{5}$

$29\frac{1}{5}$

$26\frac{3}{5}$

$27\frac{3}{5}$

$28\frac{3}{5}$

Correct answer:

$27\frac{3}{5}$

Explanation:

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

13+14=27

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

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

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Example Question #211 : Build Fractions From Unit Fractions

Solve:

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

Possible Answers:

$7\frac{1}{2}$

$7\frac{2}{3}$

$7\frac{2}{9}$

$7\frac{2}{6}$

$7\frac{1}{3}$

Correct answer:

$7\frac{2}{3}$

Explanation:

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

3+4=7

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

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

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Example Question #212 : Build Fractions From Unit Fractions

Solve:

$6\frac{1}{5}+4\frac{1}{5}$

Possible Answers:

$10\frac{2}{10}$

$10\frac{1}{5}$

$12\frac{2}{5}$

$12\frac{2}{10}$

$10\frac{2}{5}$

Correct answer:

$10\frac{2}{5}$

Explanation:

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

6+4=10

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

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

Report an Error

Example Question #21 : Add And Subtract Mixed Numbers With Like Denominators: Ccss.Math.Content.4.Nf.B.3c

Solve:

$3\frac{1}{3}+10\frac{1}{3}$

Possible Answers:

$14\frac{2}{3}$

$13\frac{2}{3}$

$14\frac{2}{6}$

$12\frac{2}{6}$

$13\frac{2}{6}$

Correct answer:

$13\frac{2}{3}$

Explanation:

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

3+10=13

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

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

Report an Error

Example Question #21 : Add And Subtract Mixed Numbers With Like Denominators: Ccss.Math.Content.4.Nf.B.3c

Solve:

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

Possible Answers:

$9\frac{3}{4}$

$9\frac{3}{8}$

$9\frac{1}4{}$

$9\frac{1}2{}$

$9\frac{2}4{}$

Correct answer:

$9\frac{3}{4}$

Explanation:

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

2+7=9

$\frac{1}{4}+\frac{2}{4}=\frac{3}{4}$

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

Report an Error

Example Question #1 : Subtracting Mixed Numbers

$17\frac{1}{2}-7\frac{1}{2}$

Possible Answers:

$24\frac{2}{2}$

$10\frac{1}{2}$

$7\frac{2}{2}$

Correct answer:

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

17-7=10

$\frac{1}{2}-\frac{1}{2}=0$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #2 : Subtracting Mixed Numbers

$18\frac{3}{4}-7\frac{2}{4}$

Possible Answers:

$9\frac{2}{4}$

$11\frac{2}{4}$

$15\frac{5}{4}$

$9\frac{1}{4}$

$11\frac{1}{4}$

Correct answer:

$11\frac{1}{4}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

18-7=11

$\frac{3}{4}-\frac{2}{4}=\frac{1}{4}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

Report an Error

Example Question #3 : Subtracting Mixed Numbers

$15\frac{2}{3}-8\frac{1}{3}$

Possible Answers:

$9\frac{1}{3}$

$23\frac{3}{3}$

$23\frac{1}{3}$

$7\frac{1}{3}$

$8\frac{1}{3}$

Correct answer:

$7\frac{1}{3}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

15-8=7

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

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

Report an Error

Example Question #4 : Subtracting Mixed Numbers

$12\frac{4}{5}-12\frac{2}{5}$

Possible Answers:

$\frac{2}{5}$

$\frac{3}{5}$

$1\frac{2}{5}$

$24\frac{6}{5}$

$1\frac{3}{5}$

Correct answer:

$\frac{2}{5}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

12-12=0

$\frac{4}{5}-\frac{2}{5}=\frac{2}{5}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

Report an Error

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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 #1484 : Ssat Middle Level Quantitative (Math)

Example Question #212 : Build Fractions From Unit Fractions

Example Question #211 : Build Fractions From Unit Fractions

Example Question #212 : Build Fractions From Unit Fractions

Example Question #21 : Add And Subtract Mixed Numbers With Like Denominators: Ccss.Math.Content.4.Nf.B.3c

Example Question #21 : Add And Subtract Mixed Numbers With Like Denominators: Ccss.Math.Content.4.Nf.B.3c

Example Question #1 : Subtracting Mixed Numbers

Example Question #2 : Subtracting Mixed Numbers

Example Question #3 : Subtracting Mixed Numbers

Example Question #4 : Subtracting Mixed Numbers

All Common Core: 4th Grade Math Resources

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