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Common Core: 5th Grade Math : Number & Operations with Fractions

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Operations With Fractions And Whole Numbers

$\small \frac{3}{5}\times7$

Possible Answers:

$\small \frac{9}{11}$

$\small \frac{5}{21}$

$\small \frac{21}{5}$

$\small \frac{35}{3}$

$\small \frac{3}{35}$

Correct answer:

$\small \frac{21}{5}$

Explanation:

$\small \frac{3}{5}\times7$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over Then we multiply like normal.

$\small \small \small \frac{3}{5}\times\frac{7}{1}=\frac{21}{5}$

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Example Question #251 : Number & Operations With Fractions

$\small \frac{3}{9}\times2$

Possible Answers:

$\small \frac{1}{3}$

$\small \frac{3}{18}$

$\small \frac{6}{9}$

$\small \frac{18}{3}$

$\small \frac{9}{6}$

Correct answer:

$\small \frac{6}{9}$

Explanation:

$\small \frac{3}{9}\times2$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \small \frac{3}{9}\times\frac{2}{1}=\frac{6}{9}$

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Example Question #31 : How To Multiply Fractions

$\small 5\times\frac{1}{3}$

Possible Answers:

$\small \frac{5}{3}$

$\small \frac{1}{15}$

$\small \frac{4}{2}$

$\small \frac{3}{5}$

$\small \frac{15}{1}$

Correct answer:

$\small \frac{5}{3}$

Explanation:

$\small 5\times\frac{1}{3}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{5}{1}\times\frac{1}{3}=\frac{5}{3}$

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Example Question #24 : Operations With Fractions And Whole Numbers

$\small \frac{1}{3}\times 10$

Possible Answers:

$\small \frac{10}{3}$

$\small \frac{5}{3}$

$\small \frac{1}{30}$

$\small \frac{30}{1}$

$\small \frac{3}{10}$

Correct answer:

$\small \frac{10}{3}$

Explanation:

$\small \frac{1}{3}\times 10$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \small \frac{1}{3}\times \frac{10}{1}=\frac{10}{3}$

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Example Question #25 : Operations With Fractions And Whole Numbers

$\small \frac{3}{7}\times10$

Possible Answers:

$\small \frac{30}{7}$

$\small \frac{70}{3}$

$\small \frac{12}{3}$

$\small \frac{7}{30}$

$\small \frac{3}{70}$

Correct answer:

$\small \frac{30}{7}$

Explanation:

$\small \frac{3}{7}\times10$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \small \frac{3}{7}\times\frac{10}{1}=\frac{30}{7}$

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Example Question #26 : Operations With Fractions And Whole Numbers

$\small \frac{2}{7}\times11$

Possible Answers:

$\small \frac{20}{7}$

$\small \frac{2}{77}$

$\small \frac{77}2{}$

$\small \frac{22}7{}$

$\small \frac{7}{22}$

Correct answer:

$\small \frac{22}7{}$

Explanation:

$\small \frac{2}{7}\times11$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \small \frac{2}{7}\times\frac{11}{1}=\frac{22}{7}$

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Example Question #252 : Number & Operations With Fractions

$\small \frac{8}{9}\times7$

Possible Answers:

$\small \frac{56}{9}$

$\small \frac{8}{63}$

$\small \frac{63}{8}$

$\small \frac{56}{63}$

$\small \frac{9}{56}$

Correct answer:

$\small \frac{56}{9}$

Explanation:

$\small \frac{8}{9}\times7$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over Then we multiply like normal.

$\small \small \frac{8}{9}\times\frac{7}{1}=\frac{56}{9}$

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Example Question #253 : Number & Operations With Fractions

$\frac{5}{9}\times \frac{6}{13}$

Possible Answers:

$\frac{1}{2}$

$\frac{9}{11}$

$\frac{45}{123}$

$\frac{8}{7}$

$\frac{10}{39}$

Correct answer:

$\frac{10}{39}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\frac{5}{9}\times \frac{6}{13}=\frac{30}{117}$

$\frac{30}{117}$ can be reduced to $\frac{10}{39}$ by dividing both sides by .

$\frac{30}{117}\frac{\div}{\div}\frac{3}{3}=\frac{10}{39}$

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Example Question #254 : Number & Operations With Fractions

Solve:

$\small \frac{5}{6}\times\frac{1}{4}$

Possible Answers:

$\small \frac{2}{3}$

$\small \frac{1}{2}$

$\small \frac{5}{25}$

$\small \frac{1}{6}$

$\small \frac{5}{24}$

Correct answer:

$\small \frac{5}{24}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{5}{6}\times\frac{1}{4}=\frac{5}{24}$

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Example Question #255 : Number & Operations With Fractions

Solve:

$\small \frac{1}{3}\times\frac{5}{6}$

Possible Answers:

$\small \frac{3}{4}$

$\small \frac{5}{18}$

$\small \frac{1}{2}$

$\small \frac{1}{4}$

$\small \frac{7}{18}$

Correct answer:

$\small \frac{5}{18}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{1}{3}\times\frac{5}{6}=\frac{5}{18}$

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All Common Core: 5th Grade Math Resources

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Common Core: 5th Grade Math : Number & Operations with Fractions

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #21 : Operations With Fractions And Whole Numbers

Example Question #251 : Number & Operations With Fractions

Example Question #31 : How To Multiply Fractions

Example Question #24 : Operations With Fractions And Whole Numbers

Example Question #25 : Operations With Fractions And Whole Numbers

Example Question #26 : Operations With Fractions And Whole Numbers

Example Question #252 : Number & Operations With Fractions

Example Question #253 : Number & Operations With Fractions

Example Question #254 : Number & Operations With Fractions

Example Question #255 : Number & Operations With Fractions

All Common Core: 5th Grade Math Resources

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