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

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

Possible Answers:

$12\frac{2}{14}$

$6\frac{2}{7}$

$12\frac{2}{7}$

$6\frac{2}{14}$

Correct answer:

$12\frac{2}{7}$

Explanation:

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

6+6=12

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

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

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Example Question #2 : Add And Subtract Mixed Numbers With Like Denominators: Ccss.Math.Content.4.Nf.B.3c

$7\frac{1}{8}+5\frac{2}{8}$

Possible Answers:

$12\frac{3}{16}$

$12\frac{4}{8}$

$12\frac{5}{8}$

$12\frac{4}{16}$

$12\frac{3}{8}$

Correct answer:

$12\frac{3}{8}$

Explanation:

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

7+5=12

$\frac{1}{8}+\frac{2}{8}=\frac{3}{8}$

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

Report an Error

Example Question #332 : Fractions

$5\frac{1}{5}+11\frac{2}{5}$

Possible Answers:

$16\frac{2}{5}$

$17\frac{3}{5}$

$16\frac{3}{5}$

$16\frac{4}{5}$

$17\frac{2}{5}$

Correct answer:

$16\frac{3}{5}$

Explanation:

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

5+11=16

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

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

Report an Error

Example Question #333 : Fractions

$13\frac{1}{3}+7\frac{1}{3}$

Possible Answers:

$21\frac{2}{3}$

$19\frac{2}{3}$

$20\frac{2}{3}$

$18\frac{2}{3}$

$22\frac{2}{3}$

Correct answer:

$20\frac{2}{3}$

Explanation:

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

13+7=20

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

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

Report an Error

Example Question #334 : Fractions

$14\frac{3}{10}+21\frac{4}{10}$

Possible Answers:

$35\frac{8}{10}$

$36\frac{6}{10}$

$36\frac{8}{10}$

$35\frac{7}{10}$

$35\frac{6}{10}$

Correct answer:

$35\frac{7}{10}$

Explanation:

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

14+21=35

$\frac{3}{10}+\frac{4}{10}=\frac{7}{10}$

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

Report an Error

Example Question #335 : Fractions

$19\frac{1}{10}+14\frac{8}{10}$

Possible Answers:

$36\frac{9}{10}$

$23\frac{9}{10}$

$22\frac{9}{10}$

$33\frac{9}{10}$

$35\frac{9}{10}$

Correct answer:

$33\frac{9}{10}$

Explanation:

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

19+14=33

$\frac{1}{10}+\frac{8}{10}=\frac{9}{10}$

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

Report an Error

Example Question #341 : Fractions

$13\frac{3}{9}+6\frac{4}{9}$

Possible Answers:

$17\frac{7}{}9$

$18\frac{7}{}9$

$18\frac{6}{}9$

$19\frac{7}{}9$

$17\frac{6}{}9$

Correct answer:

$19\frac{7}{}9$

Explanation:

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

13+6=19

$\frac{3}{9}+\frac{4}{9}=\frac{7}{9}$

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

Report an Error

Example Question #342 : Fractions

$17\frac{4}{11}+9\frac{4}{11}$

Possible Answers:

$26\frac{9}{11}$

$27\frac{9}{11}$

$25\frac{9}{11}$

$26\frac{8}{11}$

$27\frac{8}{11}$

Correct answer:

$26\frac{8}{11}$

Explanation:

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

17+9=26

$\frac{4}{11}+\frac{4}{11}=\frac{8}{11}$

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

Report an Error

Example Question #1482 : Ssat Middle Level Quantitative (Math)

$22\frac{3}{11}+13\frac{6}{11}$

Possible Answers:

$33\frac{8}{11}$

$35\frac{8}{11}$

$34\frac{9}{11}$

$33\frac{9}{11}$

$35\frac{9}{11}$

Correct answer:

$35\frac{9}{11}$

Explanation:

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

22+13=35

$\frac{3}{11}+\frac{6}{11}=\frac{9}{11}$

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

Report an Error

Example Question #1483 : Ssat Middle Level Quantitative (Math)

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

Possible Answers:

$17\frac{7}{13}$

$18\frac{7}{13}$

$19\frac{8}{13}$

$19\frac{7}{13}$

$18\frac{8}{13}$

Correct answer:

$18\frac{7}{13}$

Explanation:

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

13+5=18

$\frac{5}{13}+\frac{2}{13}=\frac{7}{13}$

Remember, when we are adding fractions we must have common denominators and we only add 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 #1 : Add And Subtract Mixed Numbers With Like Denominators: Ccss.Math.Content.4.Nf.B.3c

Example Question #2 : Add And Subtract Mixed Numbers With Like Denominators: Ccss.Math.Content.4.Nf.B.3c

Example Question #332 : Fractions

Example Question #333 : Fractions

Example Question #334 : Fractions

Example Question #335 : Fractions

Example Question #341 : Fractions

Example Question #342 : Fractions

Example Question #1482 : Ssat Middle Level Quantitative (Math)

Example Question #1483 : Ssat Middle Level Quantitative (Math)

All Common Core: 4th Grade Math Resources

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