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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 #1 : Subtracting Mixed Numbers

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

Possible Answers:

$10\frac{5}{12}$

$8\frac{5}{12}$

$8\frac{4}{12}$

$9\frac{4}{12}$

$9\frac{5}{12}$

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.

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Example Question #951 : Numbers And Operations

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

Possible Answers:

$19\frac{7}{12}$

$17\frac{7}{12}$

$15\frac{7}{12}$

$18\frac{7}{12}$

$16\frac{7}{12}$

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.

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Example Question #952 : Numbers And Operations

$14\frac{6}{11}-5\frac{2}{11}$

Possible Answers:

$9\frac{4}{11}$

$19\frac{8}{11}$

$7\frac{4}{11}$

$8\frac{4}{11}$

$18\frac{7}{11}$

Correct answer:

$9\frac{4}{11}$

Explanation:

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

14-5=9

$\frac{6}{11}-\frac{2}{11}=\frac{4}{11}$

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

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Example Question #5 : Subtracting Mixed Numbers

Solve the following:

$43\frac{5}{9}-37\frac{4}{9}$

Possible Answers:

$7\frac{1}{9}$

$6\frac{1}{8}$

$7\frac{1}{8}$

$6\frac{2}{9}$

$6\frac{1}{9}$

Correct answer:

$6\frac{1}{9}$

Explanation:

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

43-37=6

$\frac{5}{9}-\frac{4}{9}=\frac{1}{9}$

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

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Example Question #1 : Subtracting Mixed Numbers

$27\frac{4}{5}-13\frac{1}{5}$

Possible Answers:

$40\frac{2}{5}$

$40\frac{5}{5}$

$14\frac{2}{5}$

$14\frac{4}{5}$

$14\frac{3}{5}$

Correct answer:

$14\frac{3}{5}$

Explanation:

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

27-13=14

$\frac{4}{5}-\frac{1}{5}=\frac{3}{5}$

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

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Example Question #6 : Subtracting Mixed Numbers

$36\frac{3}{4}-16\frac{2}{4}$

Possible Answers:

$19\frac{2}{4}$

$19\frac{1}{4}$

$20\frac{2}{4}$

$20\frac{1}{4}$

$52\frac{6}{4}$

Correct answer:

$20\frac{1}{4}$

Explanation:

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

36-16=20

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

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

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Example Question #954 : Numbers And Operations

$29\frac{5}{13}-8\frac{2}{13}$

Possible Answers:

$23\frac{3}{13}$

$21\frac{3}{13}$

$21\frac{7}{13}$

$22\frac{3}{13}$

$22\frac{7}{13}$

Correct answer:

$21\frac{3}{13}$

Explanation:

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

29-8=21

$\frac{5}{13}-\frac{2}{13}=\frac{3}{13}$

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

Report an Error

Example Question #955 : Numbers And Operations

$53\frac{5}{7}-21\frac{2}{7}$

Possible Answers:

$32\frac{3}{7}$

$23\frac{3}{7}$

$35\frac{3}{7}$

$32\frac{2}{7}$

$23\frac{2}{7}$

Correct answer:

$32\frac{3}{7}$

Explanation:

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

53-21=32

$\frac{5}{7}-\frac{2}{7}=\frac{3}{7}$

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

Report an Error

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

In Charlie's pantry, $\frac{2}{5}$ of the items are potato chips, $\frac{1}{5}$ of the items are tortilla chips, and the rest are cookies or crackers. What fraction are chips?

Possible Answers:

$\frac{5}{5}$

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{1}{5}$

$\frac{4}{5}$

Correct answer:

$\frac{3}{5}$

Explanation:

To solve this problem, we are putting the potato chips and the tortilla chips together, so we add the fractions.

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

3 5

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Example Question #2 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

In Stuart's pantry, $\frac{1}{5}$ of the items are chips and $\frac{1}{5}$ of the items are cereal. What fraction of the items are chips or cereal?

Possible Answers:

$\frac{5}{5}$

$\frac{2}{5}$

$\frac{4}{5}$

$\frac{3}{5}$

$\frac{1}{5}$

Correct answer:

$\frac{2}{5}$

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions.

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

2 5

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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 : 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 #1 : Subtracting Mixed Numbers

Example Question #951 : Numbers And Operations

Example Question #952 : Numbers And Operations

Example Question #5 : Subtracting Mixed Numbers

Example Question #1 : Subtracting Mixed Numbers

Example Question #6 : Subtracting Mixed Numbers

Example Question #954 : Numbers And Operations

Example Question #955 : Numbers And Operations

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

Example Question #2 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

All Common Core: 4th Grade Math Resources

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