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Common Core: 4th Grade Math : Common Core Math: Grade 4

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 #131 : Operations With Fractions And Whole Numbers

Solve:

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

Possible Answers:

$7\frac{2}{9}$

$7\frac{2}{3}$

$7\frac{2}{6}$

$7\frac{1}{2}$

$7\frac{1}{3}$

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 #132 : Operations With Fractions And Whole Numbers

Solve:

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

Possible Answers:

$10\frac{2}{10}$

$12\frac{2}{5}$

$10\frac{2}{5}$

$10\frac{1}{5}$

$12\frac{2}{10}$

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 #102 : How To Add Fractions

Solve:

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

Possible Answers:

$13\frac{2}{3}$

$13\frac{2}{6}$

$14\frac{2}{6}$

$14\frac{2}{3}$

$12\frac{2}{6}$

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 #103 : How To Add Fractions

Solve:

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

Possible Answers:

$9\frac{3}{4}$

$9\frac{1}4{}$

$9\frac{3}{8}$

$9\frac{2}4{}$

$9\frac{1}2{}$

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 #61 : How To Subtract Fractions

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

Possible Answers:

$7\frac{2}{2}$

$10\frac{1}{2}$

$24\frac{2}{2}$

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.

Report an Error

Example Question #62 : How To Subtract Fractions

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

Possible Answers:

$11\frac{2}{4}$

$11\frac{1}{4}$

$15\frac{5}{4}$

$9\frac{2}{4}$

$9\frac{1}{4}$

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 #63 : How To Subtract Fractions

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

Possible Answers:

$7\frac{1}{3}$

$9\frac{1}{3}$

$23\frac{3}{3}$

$23\frac{1}{3}$

$8\frac{1}{3}$

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 #64 : How To Subtract Fractions

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

Possible Answers:

$1\frac{2}{5}$

$24\frac{6}{5}$

$\frac{3}{5}$

$1\frac{3}{5}$

$\frac{2}{5}$

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

Example Question #221 : Build Fractions From Unit Fractions

$12\frac{7}{12}-4\frac{2}{12}$

Possible Answers:

$9\frac{5}{12}$

$9\frac{4}{12}$

$8\frac{5}{12}$

$10\frac{5}{12}$

$8\frac{4}{12}$

Correct answer:

$8\frac{5}{12}$

Explanation:

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

12-4=8

$\frac{7}{12}-\frac{2}{12}=\frac{5}{12}$

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

Report an Error

Example Question #951 : Numbers And Operations

$27\frac{9}{12}-9\frac{2}{12}$

Possible Answers:

$17\frac{7}{12}$

$18\frac{7}{12}$

$19\frac{7}{12}$

$16\frac{7}{12}$

$15\frac{7}{12}$

Correct answer:

$18\frac{7}{12}$

Explanation:

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

27-9=18

$\frac{9}{12}-\frac{2}{12}=\frac{7}{12}$

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

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

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Common Core: 4th Grade Math : Common Core Math: Grade 4

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #131 : Operations With Fractions And Whole Numbers

Example Question #132 : Operations With Fractions And Whole Numbers

Example Question #102 : How To Add Fractions

Example Question #103 : How To Add Fractions

Example Question #61 : How To Subtract Fractions

Example Question #62 : How To Subtract Fractions

Example Question #63 : How To Subtract Fractions

Example Question #64 : How To Subtract Fractions

Example Question #221 : Build Fractions From Unit Fractions

Example Question #951 : Numbers And Operations

All Common Core: 4th Grade Math Resources

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