Common Core: 4th Grade Math : Number & Operations: €”Fractions

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

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Example Questions

Example Question #723 : Fractions

Select the answer choice that is equal to \(\displaystyle 2\times\frac{3}{5}\)

 

Possible Answers:

\(\displaystyle 8\times\frac{1}{5}\)

\(\displaystyle 4\times\frac{1}{5}\)

\(\displaystyle 6\times\frac{1}{5}\)

\(\displaystyle 7\times\frac{1}{5}\)

\(\displaystyle 5\times\frac{1}{5}\)

Correct answer:

\(\displaystyle 6\times\frac{1}{5}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{2}{1}\times\frac{3}{5}=\frac{6}{5}\)

\(\displaystyle \frac{6}{1}\times\frac{1}{5}=\frac{6}{5}\)

Example Question #151 : Build Fractions From Unit Fractions

Select the answer choice that is equal to \(\displaystyle 6\times\frac{3}{5}\)

 

Possible Answers:

\(\displaystyle 18\times\frac{1}{5}\)

\(\displaystyle 16\times\frac{2}{5}\)

\(\displaystyle 18\times\frac{2}{5}\)

\(\displaystyle 13\times\frac{2}{5}\)

\(\displaystyle 16\times\frac{1}{5}\)

Correct answer:

\(\displaystyle 18\times\frac{1}{5}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{6}{1}\times\frac{3}{5}=\frac{18}{5}\)

\(\displaystyle \frac{18}{1}\times\frac{1}{5}=\frac{18}{5}\)

Example Question #725 : Fractions

Select the answer choice that is equal to \(\displaystyle 7\times\frac{3}{5}\)

 

Possible Answers:

\(\displaystyle 12\times\frac{1}{5}\)

\(\displaystyle 12\times\frac{2}{5}\)

\(\displaystyle 18\times\frac{1}{5}\)

\(\displaystyle 21\times\frac{1}{5}\)

\(\displaystyle 18\times\frac{2}{5}\)

Correct answer:

\(\displaystyle 21\times\frac{1}{5}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{7}{1}\times\frac{3}{5}=\frac{21}{5}\)

\(\displaystyle \frac{21}{1}\times\frac{1}{5}=\frac{21}{5}\)

Example Question #1862 : Ssat Middle Level Quantitative (Math)

Select the answer choice that is equal to \(\displaystyle 2\times\frac{2}{4}\)

 

Possible Answers:

\(\displaystyle 5\times\frac{2}{4}\)

\(\displaystyle 5\times\frac{3}{4}\)

\(\displaystyle 4\times\frac{1}{4}\)

\(\displaystyle 4\times\frac{3}{4}\)

\(\displaystyle 4\times\frac{2}{4}\)

Correct answer:

\(\displaystyle 4\times\frac{1}{4}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{2}{1}\times\frac{2}{4}=\frac{4}{4}\)

\(\displaystyle \frac{4}{1}\times\frac{1}{4}=\frac{4}{4}\)

Example Question #201 : How To Multiply Fractions

Select the answer choice that is equal to \(\displaystyle 6\times\frac{2}{4}\)

 

Possible Answers:

\(\displaystyle 12\times\frac{1}{4}\)

\(\displaystyle 12\times\frac{2}{4}\)

\(\displaystyle 8\times\frac{1}{4}\)

\(\displaystyle 8\times\frac{2}{4}\)

\(\displaystyle 9\times\frac{1}{4}\)

Correct answer:

\(\displaystyle 12\times\frac{1}{4}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{6}{1}\times\frac{2}{4}=\frac{12}{4}\)

\(\displaystyle \frac{12}{1}\times\frac{1}{4}=\frac{12}{4}\)

Example Question #723 : Fractions

Select the answer choice that is equal to \(\displaystyle 7\times\frac{2}{4}\)

 

Possible Answers:

\(\displaystyle 14\times\frac{2}{4}\)

\(\displaystyle 16\times\frac{1}{4}\)

\(\displaystyle 14\times\frac{1}{4}\)

\(\displaystyle 15\times\frac{2}{4}\)

\(\displaystyle 15\times\frac{1}{4}\)

Correct answer:

\(\displaystyle 14\times\frac{1}{4}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{7}{1}\times\frac{2}{4}=\frac{14}{4}\)

\(\displaystyle \frac{14}{1}\times\frac{1}{4}=\frac{14}{4}\)

Example Question #728 : Fractions

Select the answer choice that is equal to \(\displaystyle 2\times\frac{4}{5}\)

 

Possible Answers:

\(\displaystyle 6\times\frac{2}{5}\)

\(\displaystyle 6\times\frac{1}{5}\)

\(\displaystyle 8\times\frac{2}{5}\)

\(\displaystyle 5\times\frac{2}{5}\)

\(\displaystyle 8\times\frac{1}{5}\)

Correct answer:

\(\displaystyle 8\times\frac{1}{5}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{2}{1}\times\frac{4}{5}=\frac{8}{5}\)

\(\displaystyle \frac{8}{1}\times\frac{1}{5}=\frac{8}{5}\)

Example Question #729 : Fractions

Select the answer choice that is equal to \(\displaystyle 6\times\frac{4}{5}\)

 

Possible Answers:

\(\displaystyle 25\times\frac{1}{5}\)

\(\displaystyle 26\times\frac{2}{5}\)

\(\displaystyle 24\times\frac{1}{5}\)

\(\displaystyle 24\times\frac{2}{5}\)

\(\displaystyle 25\times\frac{2}{5}\)

Correct answer:

\(\displaystyle 24\times\frac{1}{5}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{6}{1}\times\frac{4}{5}=\frac{24}{5}\)

\(\displaystyle \frac{24}{1}\times\frac{1}{5}=\frac{24}{5}\)

Example Question #161 : Build Fractions From Unit Fractions

Select the answer choice that is equal to \(\displaystyle 7\times\frac{4}{5}\)

 

Possible Answers:

\(\displaystyle 28\times\frac{3}{5}\)

\(\displaystyle 28\times\frac{4}{5}\)

\(\displaystyle 28\times\frac{2}{5}\)

\(\displaystyle 28\times\frac{5}{5}\)

\(\displaystyle 28\times\frac{1}{5}\)

Correct answer:

\(\displaystyle 28\times\frac{1}{5}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{7}{1}\times\frac{4}{5}=\frac{28}{5}\)

\(\displaystyle \frac{28}{1}\times\frac{1}{5}=\frac{28}{5}\)

Example Question #161 : Build Fractions From Unit Fractions

Select the answer choice that is equal to \(\displaystyle 2\times\frac{7}{10}\)

 

Possible Answers:

\(\displaystyle 9\times\frac{2}{10}\)

\(\displaystyle 5\times\frac{1}{10}\)

\(\displaystyle 14\times\frac{1}{10}\)

\(\displaystyle 9\times\frac{1}{10}\)

\(\displaystyle 5\times\frac{2}{10}\)

Correct answer:

\(\displaystyle 14\times\frac{1}{10}\)

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same. 

\(\displaystyle \frac{2}{1}\times\frac{7}{10}=\frac{14}{10}\)

\(\displaystyle \frac{14}{1}\times\frac{1}{10}=\frac{14}{10}\)

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